The molar mass of the compound will be 123 g/mole
The ratio between the mass and the amount of substance in any sample of a chemical compound is known as the molar mass in chemistry.
How to determine a compound's molar mass
Calculate the number of atoms in each element in the compound using the chemical formula.
Add up the atomic weights of all the elements in the complex and multiply the result.
Calculate the total and convert it to grams per mole.
Change in freezing point, [tex]\delta T_f = K_f \times m[/tex]
where Kf=Cryoscopic constant=5.12 degree C for Benzene
m=molality
[tex]\delta T_f=5.53-4.92=0.61[/tex] degree C
[tex]m=\frac{\detlaT_f}{K_f}=\frac{0.61}{5.12}=0.119[/tex] mol/kg
Molality=wt(solute)/(MW(solute)*kg of solvent)
[tex]0.119=\frac{1.10}{(MW \times 0.07522)}\\\\MW=123\:g/mol[/tex]
For more questions on molar mass
https://brainly.com/question/21334167
#SPJ4
The complete question should be:
1.10 g of an unknown compound reduces the freezing point of 75.22 g benzene from 5.53 to 4.92 ºC. What is the molar mass of the compound?
A ball is thrown upward. What is its initial vertical speed? The acceleration of gravity is 9.8 m/s^2 and maximum height is 4.4 m. Neglect air resistance.. Answer in units of m/s.
The initial velocity of the ball thrown to a maximum height of 4.4 m is 9.29 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the initial velocity of the ball, we use the formula below.
Formula:
v² = u²+2gs.................Equation 1Where:
v = Final velocity of the ballu = Initial velocity of the ballg = Acceleration due to gravitys = Maximum height reached by the ballFrom the question,
Given:
v = 0 m/s (at the maximum height)g = - 9.8 m/s²s = 4.4 mSubstitute these values into equation 1 and solve for u
0 = u²+(-9.8×2×4.4)0 = u²-86.24u² = 86.24u = √86.24u = 9.29 m/sHence, the initial velocity is 9.29 m/s.
Learn more about velocity here: https://brainly.com/question/25905661
#SPJ1
The ball's initial vertical speed is 86.24m/s.
What is the acceleration of gravity?This refers to the acceleration of a body in free fall under the influence of the earth's gravity. it can be represented as the rate of increase of velocity per unit of time. It is measured in meters per second square, m/s².It can be represented with the letter, g.
Formula for calculating speed in free fall;v = 2 * g * h
where,
v= speed / velocity
g = acceleration of gravity
h= maximum height
Given in the question:g = 9.8 m/s²
h = 4.4 m.
Substituting the values in the formula we have:
v = 2 * 9.8 m/s² * 4.4 m
v = 86.24m/s.
Hence, the ball's initial vertical speed is 86.24m/s.
Learn more about initial vertical speed on
https://brainly.com/question/29065383
#SPJ1
part a a calorimeter consists of an aluminum cup inside of an insulated container. the cup is weighed on a top-loading balance and is found to have a mass of 31.91 g. a reaction is conducted in the calorimeter, raising the temperature from 21.2 c to 26.1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0.903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat for the aluminum cup is 141.19 Joule.
Describe specific heatThe term "specific heat" refers to the amount of heat required to increase a substance's temperature by one degree Celsius per gram. SI units of specific heat is joules per gram per degree Celsius.
Given that Aluminum cup weight: m = 31.91 g
inital temperature is 21.2 °C.
T = 26.1 °C is the final temperature.
Aluminum has a specific heat of 0.903 J/g/°C.
Consequently, the aluminum cup's change in temperature = ms (T-t)
= 31.91 × 0.903 × ( 26.1 - 21.2)
= 31.91 * 0.903 * 4.9
= 141.19 Joule.
To know more about specific heat click on below link:
https://brainly.com/question/21041726#
#SPJ4
Which of newton’s laws is best demonstrated by a ball rolling to a wall then stopping?
Answer:
This is Newton's First Law of Motion
Explanation:
First law of motion: An object at rest stays at rest, and an object in motion stays in motion, unless acted on by a net force.
approximately how much greater is the force of gravity at the surface of the white dwarf than at the surface of the earth?
NASA estimates that a white dwarf's surface has 350,000 times as much gravity as Earth has.
What transpires when a white dwarf is larger than 1.4 solar masses Why is this beneficial?If the mass is too enormous (more than 1.4 solar masses, known as the Chandrasekhar limit), a white dwarf star will no longer be in equilibrium between gravity and degeneracy pressure.
What is the gravitational pull on the white dwarf Sirius B?Sirius B is smaller than Earth at 7,500 miles (12,000 kilometers) in diameter, but it is more denser. A 150-pound individual would weigh 50 million pounds standing on its surface due to the star's strong gravitational field, which is 350,000 times stronger than Earth's.
To know more about white dwarf visit:-
https://brainly.com/question/3708556
#SPJ4
A 0. 50-kilogram cart is rolling at a speed of 0. 40 meter per second. If the speed of the cart is doubled, the inertia of the cart is.
Doubling the speed of the cart doubles its inertia.
What is speed?Speed is the rate at which something moves or happens. It is a measure of how quickly an object moves from one point to another. It can be measured in different units such as metres per second, feet per second, miles per hour, kilometres per hour, and so on. Speed is an essential factor in many activities, such as driving, running, and flying. It is also an important factor in sports, as athletes must be able to move quickly in order to perform optimally. Speed is also a factor in many everyday activities, such as walking up a flight of stairs or getting from one place to another.
Inertia is the property of an object to resist a change in its state of motion. So, if the mass of the cart remains the same, its inertia will double when its speed is doubled. The inertia of the 0. 50-kilogram cart is then equal to 1.00 kilogram-meter-squared.
To know more about speed click-
https://brainly.com/question/13943409
#SPJ4
calculate the amount of work (in joules) required for your heart to pump 2.71 gram of blood from heart level to your head over a distance of 0.500 m.
The calculated value is 0.6 J. The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.
The work performed by the human heart is generally equal to
W = 0.6 N/cm2
100 cm3
= 60 N cm
= 0.6 N m
= 0.6 J,
as the work of a pump running at constant pressure is
W = PV.
The work is W = fd cos
if the force is applied at an angle of to the displacement. Two numbers are used to determine blood pressure: The first and higher figure, or systolic blood pressure, gauges the pressure inside your arteries while your heart beats. Diastolic blood pressure, which is the second and lower value, gauges how much pressure is there in the arteries between heartbeats.
Learn more about pressure here-
https://brainly.com/question/29341536
#SPJ4
water falls without splashing at a rate of 0.250 l/s from a height of 2.60 m into a 0.750-kg bucket on a scale. if the bucket is originally empty, what does the scale read in newtons 3.00 s after water
Water falls at a flow rate of 0.250 l/s into a 0.750-kg bucket on a scale. After 3 seconds, the weight shown on the scale is 14.7 N
The relation between the accumulated volume and the volume flow rate is given by:
V = Q x t
Where:
V = accumulated volume of water
Q = volume flow rate
t = time period
In the given problem:
Q = 0.25 l/s
t = 3 s
Hence,
V = Q x t = 0.25 x 3 = 0.75 liter
The density of the water is 1 kg per liter, therefore 0.75 liter of water is equal to 0.75 kg of water.
Total mass on the scale = mass of water + mass of bucket
= 0.75 + 0.75 = 1.5 kg
The scale will read the weight:
Weight = mg = 1.5 x 9.8 = 14.7 N
Your question is incomplete, but most probably your question was:
Water falls without splashing at a rate of 0.250 L/s from a height of 2.60 m into a 0.750 kg bucket on a scale. If the bucket is originally empty , what does the scale read 3 s after water starts to accumulate in it.
Learn more about volume flow rate here:
https://brainly.com/question/14090152
#SPJ4
if α = 40°, β = 60°, and m = 4.0 kg, determine the tension in string 1.
The tension in string 1 will be 20 N , if α = 40°, β = 60°, and m = 4.0 kg .
SI unit of tension is Newton (N) and its CGS unit is dyne.
This tension calculator will show you how to calculate the tension force in a rope or string that is being used to lift an object. You can also note how to find tension in ropes used to pull an object .
Tension force is an axial force that passes through a pulling object such as a rope, string, or chain. Tension force can also be observed in other materials, such as rods and bars, when they are subjected to external pulling or tensile loads.
High tensile strength materials make the best rods and bars because they do not break easily when subjected to tension forces. Tension force is also an excellent illustration of Newton's Third Law of Motion.
For more such question on Tension force:
brainly.com/question/29124835
#SPJ4
an electrical circuit refers to the combination of various electrical components that are connected together. group of answer choices true false
An electrical circuit refers to the combination of various electrical components that are connected together. - True
An electrical circuit refers to the combination of various electrical components that are connected together in a closed loop, thereby allowing electrons to flow through the circuit. Electrical circuits are essential for the operation of most electronic devices and are made up of a variety of components such as resistors, capacitors, inductors, and transistors.
These components are connected together using conductive materials. The conductive material is generally the copper wire which is used to create the circuit. The flow of electrons through the circuit can be controlled and manipulated using various techniques, such as switching and modulation, to perform a wide range of functions.
Read more about electrical circuits on:
https://brainly.com/question/19651288
#SPJ4
is the electric field strength in the figure(figure 1) increasing, decreasing, or not changing?
Answer:
Decreasing
Explanation:
The electric field strength is decreasing in figure 1.
If the stars at the turnoff point of a cluster have a mass of 3 M, what is the age of the cluster?a.3.0 × 1010 yearsb.3.3 × 109 yearsc.6.4 × 108 yearsd.1.6 × 1011 yearse.The age of a star cluster cannot be determined from the mass of stars at the turnoff point.
If the stars at the turnoff point of a cluster have a mass of 3 M, the age of the cluster is 6.4 × 10⁸ years.
We are aware that a star's mass, measured in solar masses, and its main sequence lifetime, measured in solar lifetime(t), are correlated (M). written as
ζ = M^(-5/2)
where, ζ is age and M is solar mass
we can subtitutes the value
ζ = M⁻⁵/²
ζ = 3⁻⁵/²
ζ =0.064 solar life
the we should convert the lifetime of star cluster into years
ζ = 0.064 solar lifetime × (10¹⁰ years / 1 solar lifetime)
ζ = 640,000,000 ≈6.4 × 10⁸ years
therefore age of the cluster is 6.4 × 10⁸ years
Learn more about age cluster at https://brainly.com/question/18763416
#SPJ4
The motion of the piston in an automobile engine is oscillatory as the piston travels back and forth. if the piston makes 2,000 complete cycles every minute, what is the period of the motion of the piston?
The Time period of the motion of the piston is 30ms.
The time taken per cycle(t) = 1 min= 60 seconds
The number of the cycles per minute(N) = 2000
To find the Time period(T)
We have,
T= [tex]\frac{t}{N}[/tex]
Where,
T is the time period,
t is the time taken,
N is the number of cycles.
T= [tex]\frac{t}{N}[/tex]
T= [tex]\frac{60}{2000}[/tex]
T = 0.03 sec
T= 30×[tex]10^{-3}[/tex]
T = 30 ms.
What is Time period ?A vibrating body's time period is the length of time it takes to complete one oscillation.
The letter T is used to denote time.
The SI unit of time is the second (s).
To know more about Time period refer here
https://brainly.com/question/2144584#
#SPJ4
. find the initial voltage for the capacitor and the initial current for the inductor. b. find the s-domain circuit equivalent. c. find il(s). d. find il(t).
The current change is 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes.
(A) At t= 0 [inductor is short at steady rate and capacitor is open at steady rate]
Switch is in closed position
By applying KVL for loop
The sum of the voltage does in a closed loop is equal to zero
0.2 + 0.1 [iL (o⁻)] - 0.1 = 0
0.1 [iL (o⁻)] = 0.2 + 0.1
0.1 [iL (o⁻)] = 0.3
[iL (o⁻)] = 0.3 / 0.1
[iL (o⁻)] = 3A
By applying for loop 2
0.1v + 0 + v(o⁻) = 0
v(o⁻) = -0.1 v
B
At t = 0
Switch opens
Apply Laplace transform (S-domain)
Source transformation,
[vc(o⁻)] = 0.1/s
1/cs = 1/0.25
cs = 0.25
3/1.25 * 0.25 = 0.6
C
By applying KVL,
(-0.2/5) + (0.1+0.25)iL(s) - 0.6 + 0.3 [iL(s)] + [-0.1/s] + 5/5 [iL(s)] = 0
iL(s)[0.1 +0.25 +0.3 +5/s] = 0.2/5 + 0.6 + 0.1/5
iL(s)[0.4 + 0.2s + 5/s] = (0.2 + 0.65 + 0.1)/5
iL(s)[(0.2s² +0.4s +5)/s] = 0.2/5 + 0.6 + 0.1/5
iL(s) = (3s + 1.5) / (s² + 2s + 25)
D
iL(s) = 3s + 1.5 / (s² + 2s + 25)
= 3s + 1.5 / (s+1)² + 24
= 3(s+1-1)+1.5 / (s+1)² + (4.9)²
= 3(s+1) - 1.5 / (s+1)² + (4.9)²
iL(s) = 3(s+1) / (s+1)² + (4.9)²
iL(s) = [3(s+1) / (s+1)² + (4.9)²] - 0.306 * [(4.9) / (s+1)² + (4.9)²]
By applying inverse Laplace transform,
iL(t) = 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes
Therefore, the current change is 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes.
To know more about current, refer: https://brainly.com/question/13076734
#SPJ4
The current is 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes.
(A) At t= 0 [inductor is short at steady rate and capacitor is open at steady rate]
Switch is in closed position
By applying KVL for loop
The sum of the voltage does in a closed loop is equal to zero
0.2 + 0.1 [iL (o⁻)] - 0.1 = 0
0.1 [iL (o⁻)] = 0.2 + 0.1
0.1 [iL (o⁻)] = 0.3
[iL (o⁻)] = 0.3 / 0.1
[iL (o⁻)] = 3A
By applying for loop 2
0.1v + 0 + v(o⁻) = 0
v(o⁻) = -0.1 v
At t = 0
Switch opens
Apply Laplace transform (S-domain)
Source transformation,
[vc(o⁻)] = 0.1/s
1/cs = 1/0.25
cs = 0.25
3/1.25 * 0.25 = 0.6
By applying KVL,
(-0.2/5) + (0.1+0.25)iL(s) - 0.6 + 0.3 [iL(s)] + [-0.1/s] + 5/5 [iL(s)] = 0
iL(s)[0.1 +0.25 +0.3 +5/s] = 0.2/5 + 0.6 + 0.1/5
iL(s)[0.4 + 0.2s + 5/s] = (0.2 + 0.65 + 0.1)/5
iL(s)[(0.2s² +0.4s +5)/s] = 0.2/5 + 0.6 + 0.1/5
iL(s) = (3s + 1.5) / (s² + 2s + 25)
iL(s) = 3s + 1.5 / (s² + 2s + 25)
= 3s + 1.5 / (s+1)² + 24
= 3(s+1-1)+1.5 / (s+1)² + (4.9)²
= 3(s+1) - 1.5 / (s+1)² + (4.9)²
iL(s) = 3(s+1) / (s+1)² + (4.9)²
iL(s) = [3(s+1) / (s+1)² + (4.9)²] - 0.306 * [(4.9) / (s+1)² + (4.9)²]
By applying inverse Laplace transform,
iL(t) = 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes
Therefore, the current change is 3e^-t [3cos (4.9t) - 0.306sin(4.9t)] Amperes.
To learn more about current visit:
https://brainly.com/question/13076734
#SPJ4
determine the location of the resultant force of the water acting on the vertical end wall of the pool where the depth is 2.5m
The location of the resultant force of the water on the vertical end of the pool is 1.67 m from the top.
Given that, length of the swimming pool is 16 m
Width of the swimming pool is 6 m
Depth of the pool (h) is 2.5 m
Area of the pool (A) = 6* 2.5 = 15 m²
Moment of inertia (I) = bh³/12 = 6* 2.5³/12 = 7.82 m⁴
x = h/2 = 1.25 m
The expression for location of force is
H = x + I/(A*x) = 1.25 + 7.82/(15* 1.25) = 1.25 + 7.82/18.75 = 1.67 m
Thus, the location of the resultant force of the water on the vertical end of the pool is 1.67 m from the top.
The question is incomplete. A swimming pool is 16 m long and 6 m wide.
To know more about resultant force:
https://brainly.com/question/14447139
#SPJ4
a certain heat engine does 9.5 kj of work and 8.50 kj heat transfer occurs to the environment in a cyclical process. (a) what was the heat transfer (in kj) into this engine?
The heat transfer into this engine is 52.7%.
Solution:
9.5 + 8.5
Hi = 18KJ
n = w/Hi
= 9.5/18 x 100
= 52.7%
Heat transfer is the field of thermal engineering concerned with the production use conversion and exchange of thermal energy between physical systems. Heat transfer is classified into different mechanisms such as. Conduction convection radiation and energy transfer through a phase change.
There are three ways heat is transferred conduction convection and radiation. Heat transfer between states of matter occurs whenever there is a temperature difference, and heat transfer only occurs in the direction of decreasing temperature, that is, from a hot body to a cold body.
Learn more about Heat transfer here:- https://brainly.com/question/16055406
#SPJ4
if the intensity of a sound beam remains unchanged while the beam area is reduced in half, what has happened to the power?
If the intensity of a sound beam remains unchanged while the beam area is reduced in half, the power will also be Halved.
As intensity = Power / area
I1 = P1 / A1
I2 = P2 / A2
If I1 = I2 and A2 = A1 / 2
I = P1 / A1 I = P2 / (A1/2)
I = P1 / A1 I = 2 P2 / A1
P1 = I A1 P2 = I A1 / 2
P2 = P1 /2 = Halved
The complete question is attached.
You can also learn about intensity from the following question:
https://brainly.com/question/17323212
#SPJ4
if you look with a magnifying glass at pictures printed in full color in books or magazines, you'll notice three colors of ink plus black. what are these colors?
Seeing the visible light spectrum of the rainbow through a prism and sunlight.
A white item will evenly reflect all shades of white light. If an object absorbs all colors except for one, we see that color. All of the colors in the color spectrum are combined to create white light. It is every shade of the rainbow. Yellow, cyan, and magenta are secondary colors that result from mixing the three fundamental hues of light—red, blue, and green. The three primary colors can be combined in various ways to create all additional colors. The item may absorb the light wave, in which case its energy is changed to heat. The object might reflect the light wave.
Learn more about spectrum here-
https://brainly.com/question/12157930
#SPJ4
3. An object rotates in a circular track with a uniform speed 10 ms¹ and it has a periodic time 4 s. what is the magnitude of the mean acceleration of the object when it moves from A to B where AB is a diameter? 1). 0 2).5 ms² 3). 15 ms 4). 20 ms-² 5). 10 ms-²
The magnitude of the mean acceleration of the object is 15 m/s^2 when it moves from A to B where AB is a diameter.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
Given that: uniform speed of the object: v = 10 m/s.
Periodic time: T = 4 second.
Hence, the magnitude of the centripetal acceleration of the object = 2πv/T
= (2π × 10)/4
= 15 m/s^2.
Learn centripetal acceleration here:
https://brainly.com/question/14465119
#SPJ1
Answer: 5. 10 ms-²
Explanation:
Answer: 5. 10 ms-²
Explanation: The magnitude of the mean acceleration of the object when it moves from A to B is equal to the angular acceleration multiplied by the radius of the circular track.
Therefore, the angular acceleration = (2π/T) = (2π/4) = (π/2) rad/s²
The radius of the circular track = 10 m
Therefore, the magnitude of the mean acceleration of the object when it moves from A to B = (π/2) x 10 = 10 ms-²
A car is moving towards a person at 0. 02 km/s. The speed of light is 300,000 km/s. What speed would the person measure for light coming from the car's headlights? (1 point).
The person would measure the speed of the light coming from car's headlight to be 300,000 km/s.
The SI definition of the meter makes another assumption about the laws of physics: that the theory of relativity is true. The idea that the speed of light is the same in all inertial frames is a fundamental postulate of the theory of relativity. This can be separated into two sections:
The observer's movement has no effect on the speed of light.
Time and location have no effect on the speed of light.
It seems very counterintuitive to assert that the observer's velocity has no bearing on the speed of light. Although Einstein was able to demonstrate in 1905 that it is perfectly consistent if you are willing to give up assumptions regarding the absolute nature of space and time, some individuals even refuse to accept this as a possibility that is logically consistent.
So according to the special theory of relativity the speed of light is constant (same) when measured in any inertial frame of reference. In other words the speed of light is constant relative to anything.
We can learn more about theory of relativity here
https://brainly.com/question/364776#
#SPJ4
If the coefficient of static friction at all contacting surfaces is determine the inclination at which the identical blocks
The tangent of the angle at which the items slide equals the coefficient of static friction. The measurement of k can be done in a similar way. To accomplish it, push the upper object while angling it upward. The tangent of that angle equals k when the upper object slides along at a constant speed.
Why is the coefficient of static friction determined using an incline?
By calculating the angle at which the force of gravity overcomes the static friction, you can utilize an item that is inclined to calculate the static coefficient of friction.
How can you tell which way static friction is prevailing?
Static friction pushes in the direction you're trying to travel when you walk (see Figure 2 below). In the absence of friction, the foot would slip backwards as it presses on the ground (like walking on ice).
To know more about static friction visit;
https://brainly.com/question/17169901
#SPJ4
what value of the bullwhip measure would indicate that a dampening scenario exists? greater than 0 0 less than 0 greater than 1 less than 1
The value that the bullwhip measure would indicate if a dampening scenario exists is less than 1. Therefore, the correct answer is the last option.
The bullwhip effect is a phenomenon of the supply chain that describes how small fluctuations at the retail level can cause larger fluctuations in demand at the distributor, manufacturer, and material supplier levels. It is measured by dividing the variance of order by the variance of demand.
Bullwhip = 1 means that the order variance is equal to the demand variance, which implies that there is no variance amplification.Bullwhip > 1 means amplification is present.Bullwhip < 1 means that the orders are less variable than the demand. This scenario is often called a dampening scenario or smoothing.Learn more about bullwhip effect at https://brainly.com/question/29802823
#SPJ4
Which of the following statements describes why the sky is blue: The sky is blue because blue lightA. is scattered more by air molecules than red light
B. is absorbed by air molecules more than red light
C. can shine through air molecules more easily than red light
D. can be reflected by air molecules more easily than red light
mye o O 20
The sky is blue because blue light is scattered more by the air molecules than the red light.
When light coming from the sun falls on the surface of the earth it travels as the white light. The components of this white light are violet, blue, green, yellow, orange and red colors.
This white light gets scattered over the atmosphere of the earth because of the particles of the air.
The sky appears to be blue because of the ability of the blue light to scatter more on the air particles then the other lights because blue light travels as shorter and smaller waves.
To know more about blue light, visit,
https://brainly.com/question/14695136
#SPJ4
in the circuit below, the switch has been open for a long time, and the current is zero everywhere.
Due to the incomplete question I answered it in general way.
If the switch is closed, there will be current in the ammeter; otherwise, there won't. The presence of a current in the ammeter is independent of how long the switch has remained in any given state.)
The ammeter won't show any current if the switch has just been opened. The electrical connection is broken when the switch is opened, stopping electricity from passing through the circuit and preventing the ammeter from reading any current.
The ammeter won't register any current even after the switch has been open for a lengthy period. The switch is still in the open position, which prevents electricity from flowing through the circuit, which is the source of this.
The voltage V applied across the inductor and the inductance L of the inductor both affect the inductor current I that flows through it. The voltage V fluctuates with time t due to the switch 1, 2 timing.
I= 1/L∫Vdt,
where I is the amount of current passing through the inductor, L is the inductor's inductance, and V is the voltage applied across the inductor.
To know more about current
https://brainly.com/question/15259040
#SPJ4
the fraction of light that is transmitted through a 100 mm panel of pmma is 0.97. neglecting reflection at both surfaces, what is the absorption coefficient b of pmma?
The absorption coefficient ,[tex]\beta[/tex] of PMMA is [tex]0.3\ m^{-1}[/tex] when 0.97 fraction of light is transmitted through 10 mm panel of PMMA.
The absorption coefficient determines how far light of a specific wavelength can penetrate before being absorbed. Light is only poorly absorbed in a material with a low absorption coefficient, and if the material is thin enough, it will appear transparent to that wavelength.
Given,
The fraction of light transmitted through PMMA panel = 0.97
Thickness of PMMA panel = 100 mm = 0.1 m
The absorption of coefficient, [tex]\beta[/tex]can be determined by the relation,
[tex]I=I_oe^{-\beta x}\\\\\frac{I}{I_o}=e^{-\beta x}\\\\[/tex]
applying natural log on both sides
[tex]ln(\frac{I}{I_o})=ln(e^{-\beta x})\\\\ln(\frac{I}{I_o})=-\beta x\\\\\beta = -\frac{1}{x}ln(\frac{I}{I_o})[/tex]
Here, x is the thickness of the PMMA panel; [tex]\frac{I}{I_o}[/tex] is the fraction of light transmitted; I is the initial intensity of light before transmitting through panel and [tex]I_o[/tex] is the final intensity of light after passing through the panel.
[tex]\beta = -\frac{1}{0.1}ln(0.97)\\\\\beta = -10*(-0.03)=0.3 m^{-1}[/tex]
Thus, the absorption coefficient is [tex]0.3\ m^{-1}[/tex]
To learn more absorption coefficient refer here
https://brainly.com/question/7958546
#SPJ4
Identify the stage in star life cycle in which hydrogen is the primary fuel for nuclear fusion?
Main sequence is the stage of the star's lifecycle in which hydrogen acts as the primary fuel for nuclear fusion.
Life Cycle of StarThese hydrogen and helium elements combine to increase the mass in the centre of the cloud as a result of gravity's contracting force. As mass increases, gravitational pull also expands. All of the molecules and particles in the environment are pulled in by gravity. As the molecules continue to descend into the cloud's core, the cloud's mass rises and the cloud's center begins to heat up. This heated center is known as a protostar.
Now, as additional molecules are drawn to this protostar, the protostar's temperature is rising. The temperature continues to climb until the time comes when the pressure exceeds the point when two hydrogen atoms start to fuse, releasing heat and radiation to create helium.
Nuclear fusion is the process of fusing two hydrogen atoms to create helium by releasing a large amount of energy.
The outward force produced by the radiation and heat emitted now balances the inward force exerted by gravity. The star is born when the force is balanced equally inward and outward.
To learn more about Life cycle of star refer here:
https://brainly.com/question/2386481#
#SPJ4
a bar magnet is falling vertically through a horizontal loop of wire with the south magnetic pole entering the loop first. what is the direction of the induced current (viewed from above) as the south pole enters the loop?
The magnet enters from the south pole, and the current flows clockwise, according to Lenz's law.
When we get the south pole of a bar magnet close to the needle of a compass, the needle begins to point. As a result, current will flow counter-clockwise. Again, the south pole will approach coil CD, causing end C to behave as the south pole. As a result, the current will flow clockwise. If the thumb and forefinger point in the direction of the conductor's velocity and magnetic field, respectively, the central finger points in the direction of induced current in the conductor.
Learn more about magnetic here-
https://brainly.com/question/13026686
#SPJ4
what are the benefits of aerobic activity and what effect does that have on endurance during exercise
help plsssssssssssssssssssssssssssss
Aerobic exercise helps you lose weight and keep it off when combined with a good diet.
When you first begin regular aerobic exercise, you could feel exhausted. But over time, you'll benefit from more endurance and less weariness.
Over time, you can also improve your bone and muscle strength as well as your heart and lung health.
Regular aerobic exercise like walking, cycling, or swimming can improve your health and length of life.
You repeatedly contract your arms, legs, and hip muscles when engaging in aerobic exercise. You'll become aware of your body's reactions immediately.
You'll deepen and speed up your breathing. The amount of oxygen in your blood is increased as a result. As a result of your heart beating more quickly, more blood will reach your muscles and return to your lungs.
know more about breathing here
https://brainly.com/question/3887418#
#SPJ4
Light waves are electromagnetic waves that travel at 3.00 x 10^8 m/s. The eye is most sensitive to light having a wavelength of 5.50 x 10^-7 m.
a. Find the frequency of this light wave.
b. Find its period.
Answer:
a. Frequency is 5.45 x 10^14 hz
b. The period = 1.8 x 10^-15 sec {or 1.8 femptoseconds]
Explanation:
The velocity of an electromagnetic wave is given by the product of the wave's frequency(f) times its wavelength(λ).
V = λ f where,
V is the wave speed,
f is the wave frequency,
λ is the wavelength.
To find frequency, rearrange to:
f = V/ λ
Light travels at 3.00x10^8 m/sec.
λ is 5.50 x 10^-7 m
f = (3.00x10^8 m/sec)/(5.50 x 10^-7 m) meters cancels, secs is on the bottom]
f = (3.00/5.50)*(10^15) [The base 10 exponent on the bottom ius subtracted from the one on top: 98-(-7)) = 15)
f = 0.545 x 10^15 1/s or hz
f = 5.45 x 10^14 hz
b. The period of a wave is the inverse of it's frequesncy. It is the time it takes for 1 wave to pass. Invert the frequency:
Period = 1/f
Period = 1/(0.545 x 10^15 1/s)
Period = 1.8 x 10^-15 sec {or 1.8 femptoseconds]
when traveling in the same medium, if the frequency of ultrasound is increased from 0.77 mhz to 1.54 mhz, what happens to the wavelength?
If the ultrasound frequency is increased from 0.77 MHz to 1.54 MHz, then the wavelength is halved.
Wavelength is the distance of one wave and is represented by the Greek letter Lambda (λ). To calculate the actual wavelength is the same as calculating the distance traveled by the wave.
If a wave is moving at a constant wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.
So, if the frequency is doubled, the wavelength will be shorter, which is halved.
Learn more about the relationship between wavelength and frequency at https://brainly.ph/question/91495
#SPJ4
Which of the following is incorrect?
A) 3kg20g-3.02kg
B) 5kg5g=5.005kg
C) 230g=0.23kg
D) 8kg80g-8.008kg
please please
Answer:
A) 3kg20g-3.02kg
Explanation:
A) 3kg20g-3.02kg is incorrect. In order to subtract two quantities in the metric system, they must be expressed in the same unit of measurement. In this case, 3kg20g and 3.02kg are not expressed in the same unit of measurement, so it is not possible to subtract them. The correct way to subtract these two quantities would be to convert one of them to the same unit as the other, such as by converting 3kg20g to 3.020kg. Only then could they be subtracted, giving the result 0.000kg.