The stone will strike the ground with velocity of 33.5 m/s.
What is velocity:
Velocity is the directional speed as an indication of its rate of change in position observed from a particular frame of reference.velocity formula is basically displacement divided by time.What is displacement:
It is an vector quantity with magnitude and direction.It defines as the change in position of an object.Here,
Stone is dropped freely from rest, so it's Initial velocity will be zero.
u = 0 m/s
displacement is equal to half of total height.
y = h/2
since Stone is dropped freely, a=g ( acceleration of gravity)
According to Newton's equation of motion:
y = u* t + 1/2 (at^2)
h/2 = 0 + 1/2 (gt^2)
h = g* t^2 -----1
now at t= t+1 , displacement y = h
h = u* t + ½ g (t + 1)²
h = ½ g (t + 1)² -----2
comparing both equations,
g* t^2 = ½ g (t + 1)²
2t² = (t + 1)²
2t² = t² + 2t + 1
t² − 2t = 1
t² − 2t + 1 = 2
(t − 1)² = 2
t − 1 = ±√2
t = 1 ± √2
Since t > 0, t = 1 + √2.
So t+1 = 2 + √2.
At that time, the speed is:
v = at + u
v = g (2 + √2) + 0
v = g (2 + √2)
If g = 9.8 m/s²,
v = 33.5 m/s.
The stone will strike the ground with velocity of 33.5 m/s.
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A common trick for opening a stubborn lid on a jar is to run very hot water over the lid for a short time. This is because the coefficient of expansion for glass is less than that for steel. Glass expands less than steel when heated. This makes it easier to open the lid. Is this true or false
Answer:
Glass expands less than steel when heated. This is because of the coefficient of expansion. The statement is true.
Explanation:
Thermal expansion refers to:
Expansion of the size of an object, when heat is provided to that object, is called as thermal expansion basically it is expansion due to heatCoefficient of thermal expansion:
(CTE) refers to the rate at which a material expands with increase in temperature.given that lid on the jar is made up of steel.
so when we very hot water run over the lid for short time, The metal lid expands but the glass jar. which forms a gap between the metal lid and the glass jar.
Coefficient of thermal expansion of ordinary glass is 8.6×10^-6/°
Coefficient of thermal expansion of steel is 13×10^-6/°
we can say that
Steel having higher coefficient of expansion will expand more as compared to the glass.
Hence the statement is True.
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An athlete runs with velocity 11 km/h for 5 minutes, 16 km/h for the next 4 minutes, and 18 km/h for other 6 minutes. Compute the total distance traveled.
Answer:
46.656km
Explanation:
it covers 46.656 km
An athlete runs with a velocity of 11 km/hr for 5 minutes then the next 4 minutes at a speed of 16 km/hr and the next 6 minutes with a speed of 18 km/hr then the total distance traveled by the athlete is 3.78 km.
What is Velocity?Velocity is the rate of change in direction of an item in motion as defined by a specific standard of time and observed from a specific frame of reference. Kinematics, the area of classical physics that studies how bodies move, uses the concept of velocity as a fundamental building block.
It takes combined magnitude and direction to define velocity, a physical vector quantity. Speed is a coherent-derived unit that expresses the scalar exact number (magnitude) of velocity. Its quantity is expressed in SI units of meters per second.
Firstly,
11 km/ hr for 5 minutes = 5/60 × 11 = 11/12
16 km/hr for 4 minutes = 4/60 × 16 = 16/15
18 km/hr for 6 minutes = 6/60 × 18 = 18/10
Net distance travelled = 11/12 + 16/15 + 18/10 = 3.78 km
Therefore, the net distance traveled by the athlete is 3.78 km.
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Why does water require such a higher temperature to raise the pressure than neon?
Water require such a higher temperature to raise the pressure than neon due to strong bonds between atoms of water.
Why does water require such a higher temperature to raise the pressure than neon?
Water require such a higher temperature to raise the pressure than neon because it has strong hydrogen bonds and having high specific capacity as compared to other atoms and molecules.
So we can conclude that water require such a higher temperature to raise the pressure than neon due to strong bonds between atoms of water.
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What circuit element, an inductor or a capacitor, should be placed in series with the circuit to raise its power factor
Answer:
Inductor should be placed the circuit to raise its power factor.
Explanation:
Inductor:
It is passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it.It has the function of developing electromotive force in the direction that reduces fluctuation when a fluctuating current flows.Capacitor:
It is a device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other.we know that,
Power factor:
cosα = R / Z
cosα = R^2/ (sqrt(R
[tex]cos\alpha =\frac{R}\sqrt{R^{2}(X_{c}-X_{L})^{2} }[/tex]
To increase the power factor, denominator should decrease.
from the equation we can say that, the power factor is inversely proportional to X(L)
Hence X(L) should increase.
Therefore, an inductor is required to be connected.
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the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
Two people hear a tornado siren, but one listener is 81.9 times farther away from the source of the sound than the other. What is the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener
-38.26dB is the intensity level of the sound for the more distant listener relative to that for the nearer listener
By using the inverse square law,
As one listener is 81.9 times farther away from the source of the sound than the other.
Then Increasing the distance by 81.9 times reduces the intensity by
[tex]81.9^{2}[/tex] = 6707.61 times
The intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is:
= 10log(ratio of intensities)
= 10log(1/6707.61)
= 10log(0.000149)
=10 × -3.826
= -38.26dB (The negative sign represents the sound is less intense for the farther listener)
So, the intensity level of the sound (in decibels) for the more distant listener relative to that for the nearer listener is -38.26dB
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a) State the meaning of the term principal focus as applied in lenses.
Answer:
Explanation:
Basically, the point on the axis of a lens or mirror to which parallel rays of light converge or from which they appear to diverge after refraction or reflection.
Not sure if this is what your looking for. Hope this helps!
When two air masses collide at a front, one air mass may be pushed upward by the other. This is because ____.
Answer: When two air masses collide at a front, one air mass may be pushed upward by the other. This is because one air mass is denser than the other.
Explanation: To know the correct answer, we need to know more about the Collision of Air masses.
What is an air mass?An air mass can be defined as the large volume of air in the atmosphere. It forms due to the uniform levels of temperature, humidity and pressure.What happens when two air masses collide with each other?When two air masses collide at a front, they never mix together. But they push against each other in such a way that, one will push upwards and the other will pushed downward.It happens because, one among the two air masses will be denser than the other.When a warm air mass meets a cold air mass, then the warm air will raise because it is lighter than the cold one.Thus, from the above explanation, we can conclude that, one air mass may be pushed upward by the other, because one air mass is denser than the other when they came in contact with each other.
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3) An electron travels at uniform velocity of 320 km/s. How much time is
required for a displacement of 1.00m
Answer:
0.003125 seconds
Explanation:
v = d/t
320 = 1/t
t = 1/320 (0.003125) seconds
Suppose two children are using a uniform seesaw that is 3.00 m long and has its center of mass over the pivot. The first child has a mass of 30.0 kg and sits 1.40 m from the pivot. (a) Calculate where the second 18.0 kg child must sit to balance the seesaw. (b) What is unreasonable about the result
The second 18.0 kg child must sit 2.33 m board to balance the seesaw.
(a) Under equlibrium condition, the net torque is constant
m1 g x1 = m2 g x2
30 kg ( 1.4) = 18 ( x2)
x2 = 2.33 m board.
(b) Since the seesaw is 3.0 m long the pivot point will be the center of the seesaw which is a 1.50 m board on the other side of the pivot.
As per calcualtion second child mist sit at a distance of 2.33 from the pivot point which means off the board this is unreasonable about the result.
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A circuit breaker may need to switch short circuit currents as high as _____ times its rated current.
A circuit breaker may need to switch short circuit currents as high as fifteen (15) times its rated current.
Rated current is basically the maximum limiting current. If the current exceeds its maximum limit, there will be overheating and, in severe circumstances, a short circuit will result.
A circuit breaker is a type of electrical safety device used to guard against short circuit damage to an electrical circuit.
An example of circuit breakers that are most frequently used in low voltage circuits is Miniature Circuit Breakers (MCBs).
These are the switches that automatically turn off when the current in a circuit exceeds the safe limit.
So, to ensure complete protection against short circuits & overloading, a circuit breaker may need to switch short circuit current as high as fifteen times its rated current.
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aaron and john have 56 m of rope altogether. aaron's rope is 3 times as long as john's rope. What is the length of aaron's rope
Answer: Aaron and john have 56 m of rope altogether. Aaron's rope is 3 times as long as john's rope. Then the length of Aaron's rope is 42m.
Explanation: To solve this problem, we need some basic mathematic problems relating variables.
How to solve the problem?Here, we have given that, the total length of the rope, that both Aron and John have as, 56m.We can rewrite it in terms of equation such as,[tex]L_A+L_J=56m[/tex] , where La is the length of Aron's rope and Lb is that of John's rope.
The length of Aron's rope is 3 times equal to that of John's rope. It leads to the equation,[tex]L_A=3L_J[/tex]
We can substitute above equation in the first equation,[tex]3L_J+L_J=56\\4L_J=56\\L_J=\frac{56}{4}=14m[/tex]
Thus, the length of Aron's rope will be,[tex]L_A=3*L_J=3*14=42 m[/tex]
Thus, from the above calculations, we can conclude that, the length of Aaron's rope is 42m.
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What is the original source of energy for the following energy sources: wind, coal, petroleum, natural gas, solar?
wind energy - wind is source
coal - coal is source
petroleum - Crude oil is source
natural gas - fossil energy is source
solar - sun is source
What is Energy and Sources of Energy ?The classical description of energy is the ability of a system to perform work, but because energy exists in so many forms, it is hard to find one comprehensive definition
There are two sources of energy: renewable and nonrenewable energy.Primary energy sources take many forms, including nuclear energy, fossil energy -- like oil, coal and natural gas -- and renewable sources like wind, solar, geothermal and hydropower.Learn more about Energy here:
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Answer:
i think it is d
Explanation:
hope this helps!!!
There are three 80.0N forces: force one is pointing in the direction 30o north east, force 2 points 30o north of west, and force three points directly north. What is the sum of all three forces
The sum of the three forces are .
Given:- There are three forces: force one is pointing in the direction north east, force points north of west, and force three points directly north.
To Find:- We have to find the sum of the three forces.
By using the concept of the force it will be solved.
According to the problem,
The sum of the three forces are .
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3) What type of energy does a moving car release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
4) What type of energy do explosions release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
5) What type of energy does an x-ray give off?
A)Chemical
B) Electrical
C) Mechanical D) Radiant
What type of energy are the following:
6) A battery in your phone?
A) Potential Energy
B) Kinetic Energy
7) A battery in its package?
A) Potential Energy
B) Kinetic Energy
Answer:
Read the information down below. Hope it helps :)
Explanation:
3) C. When gasoline burns in a car engine, some of the chemical energy in the gasoline is converted into heat, then the heat is converted into mechanical energy, and finally mechanical energy moves the car.
4) A. Chemical energy is energy released when a substance undergoes a chemical reaction.
5) D. Radiant energy includes visible light, x-rays, gamma rays, and radio waves.
6) 1. Chemical energy. A battery stores chemical energy and converts it to electrical energy.
2. Potential energy is stored energy and the energy of position.
3. Kinetic energy is the energy of motion.
7. A battery is a device that stores chemical energy and converts it to
electrical energy.
8. Potential energy is stored energy and the energy of position.
9. Kinetic energy is the energy of motion.
The correct answer is 3).The correct option is C). 4) The correct option is A).
5). The correct option is D). 6). The correct option is A). 7) The correct option is A).
3). A moving car releases Kinetic and Potential energy both of which comes under the category of Mechanical energy.
4). Explosions releases heat which is produced due to chemical reaction during explosion, Explosions' releases Chemical energy
5) X-ray are electromagnetic radiations, They are released when electron losses it's speed.
6) A battery in the phone can be considered as an example of Potential energy as charging occurs due to change in potential difference.
7) A battery in it's package is an example of potential energy.
The correct options are 3).B, 4).A, 5).D, 6).A 7)A.
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If it takes an average of 14 billion years before any proton inside the Sun will undergo fusion, and the Sun is only about 5 billion years old, why do astronomers believe that fusion is going on there now
The explanation of astronomers believe that fusion is going in sun after knowing that fusion takes average 14 billion year to undergo and sun is just 5 billion year old is that there are few protons in the sun who undergo fusion by few collisions only and not have to wait 14 billion years.
Before fusing with another proton, a proton will bounce off other protons in the Sun's crowded core for around 14 billion years, at a pace of 100 million collisions per second. However, this is merely the average wait time. Some of the massive number of protons in the Sun's inner area are "lucky," and it only takes a few collisions to produce a fusion reaction, these are the protons responsible for the Sun's energy. Most of the Sun's protons have not yet been involved in fusion reactions because it is around 4.5 billion years old.Thus we can say as their exist few protons inside sun who can undergo the fusion after few collisions only, the astronomers believe that fusion is going on there now also.
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The center of mass of the system is the point at which the total mass of the system could be concentrated without changing the ____________.
The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
Centre of Mass is the point at which the whole mass of the system
is assumed to be concentrated.
The general formula for the COM is:
xₙ = Σmₐxₐ / Σmₐ where, a = 1,2,3.........n
Here the term Σ mₐ xₐ is called the first moment of the system and the
denominator expression is called total mass of the system.
Therefore, from this theory we can say that the moment of the system
remain unchanged while calculating the COM.
Hence, The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
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_______________ will occur if a vehicle collides with an object travelling in the opposite direction rather than colliding with a stationary object.
More impact will occur if a vehicle collides with an object traveling in the opposite direction rather than colliding with a stationary object.
What is Collision?A collision may be described as a circumstance in which two or more bodies exert forces on each other in a moderately short period of time.
When vehicles collide with an object traveling in the opposite direction causes more impact because both bodies exert equal forces on to each other. While a stationary object bears less force, and hence the collision causes a little or less impact on the bodies.
Therefore, More impact will occur if a vehicle collides with an object traveling in the opposite direction rather than colliding with a stationary object.
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A proton with kinetic energy 82.6 eV is seen to move in a circular path while in a region with a uniform magnetic field. What kinetic energy must an electron have if it is to move in a circular path of the same size
The electron must have 2.065 MeV of energy if it is to move in a circular path of the same size.
For a particle of mass m and charge Q in a magnetic field, the radius of the path is given by,
r = [tex]\sqrt{2m}(KE)/qB[/tex]
q ∝[tex]\sqrt{m (KE)}[/tex]
e/2e =[tex]\sqrt{(mp)(IMeV)}/(4mp)(KE)[/tex]
1/4 = 8.26/(4)(KE)
KE = 2.065 MeV
Kinetic energy is a type of energy that an object or particle has due to its motion. When work is done on an object by applying a net force that transfers energy, the object accelerates, thereby gaining kinetic energy.
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10.A uniform cord has a mass of 0.300 kg and a length of 6.00 m. The cord passes over a pulley and supports a 2.00 kg object. Find the speed of a pulse traveling along this cord.
The speed of a pulse traveling along the cord, v = 19.8 m/s.
What is the speed of the pulse traveling along the cord?The tension, T on the cod is first obtained as follows:
T = 2.0 * 9.8 m/s²
T = 9.6 N
The mass per unit length, μ of the cord is then determined:
μ = 0.3/6
μ = 0.05 kg/m
The speed of the pulse, v = √(T/μ)
v = √(9.6/0.05)
v = 19.8 m/s
In conclusion, the speed of the pulse is the distance covered per unit time.
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Astronomers estimate that the runoff channels seen on Mars must be at least 3.9 billion years old. How do they estimate ages like this
They estimate ages by counting impact craters in the regions containing these channels.
A depression created by the hypervelocity impact of a smaller body on the surface of a planet, moon, or other solid body in the Solar System or elsewhere is known as an impact crater.
Even when the records are hidden beneath the surface, impact craters give researchers access to a planet's geological past.
Our understanding of the past and present of the Solar System has been greatly aided by lessons learned from impact craters.
Older surfaces have had more time to be exposed to hitting bodies like meteoroids, asteroids, and comets than younger surfaces. Older surfaces therefore have more impact craters.
Therefore, astronomers estimate that the runoff channels seen on Mars must be at least 3.9 billion years old by counting impact craters in the regions containing these channels.
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Did you diagram all the faults and folds correctly? Which fault and/or fold did you find most difficult to diagram?
A fold is a stack of planar surfaces that are bent during permanent deformation and this happens when the earth's crust is compressed together.
What is a Fault?This refers to the planar fracture that occurs in a volume of rock that causes significant displacement.
Hence, we can see that there are three types of fold and they are:
(1) anticlines, (2) synclines (3) monoclines.Please note that your question is incomplete so I gave a general overview of the concept to give you a better understanding.
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A cold region of dust which scatters the light of nearby stars produces a nebula which appears ________ in color, such as the one encompassing the Pleiades cluster.
Answer:
Explanation:
A cold region of dust that scatters the light of nearby stars produces a nebula that appears blue in color, such as the one encompassing the Pleiades cluster.
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Why is it very hard to use the Doppler shift method of detecting planets to discover a planet like Earth
Doppler shift method cannot be used to detect a planet like earth because the mass of Earth is very less.
What is Doppler's effect?
The Doppler effect is produced when an apparent upward shift in frequency of a moving source of waves is observed by the observer towards which the source is approaching also when an apparent downward shift in frequency of observed by the observer when the source is receding.
In astronomy Doppler effect is used by observing the shift in frequency of electromagnetic waves produced by moving stars in our galaxy and beyond. This takes place in the manner:
Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted downward in frequency show a red shift. This takes place when the star is rotating in its cluster directed away from the Earth.Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted upwards in frequency show a blue shift. This takes place when the star is rotating in its cluster directed towards the Earth.The Doppler shift method is useful for greater celestial masses. The mass of earth is very less in comparison, thus the Doppler shift method cannot be used to discover a planet like Earth.
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A bicycle completed the first 200 m of a ride in 38.31 s. What was the bicycle's average speed in kilometers per hour
Answer:
The bicycle average speed in kilometers per hour is 18.9km/hr.
Explanation:
The reading above states that a car travel a distance of 200m in a time of 38.31s and is asking for the speed in kilometers per hour (km/hr). In this case change 200m to km and 38.31s to hr
Using the conversion factor
1km = 1000m
1hr = 3600s
200m = 1km/1000m = 0.2km
38.31s = 1hr/3600s = 0.0106hr
Average speed = distance traveled/time taken
Average speed = 0.2km/0.0106hr
Average speed = 18.9km/hr
Therefore the bicycle average speed in kilometers per hour is 18.9km/hr.
Xtreme waterparks uncovers the most over-the-top and exhilarating water rides across the world. To what country did we travel to enjoy the mountain water slide, curving through the jungle and letting out in a secluded, tree-surrounded pool?.
Answer:
Costa Rica
Explanation:
A pendulum takes 4 seconds to make one complete swing. A man walks 100m in a straight line while the pendulum makes 20 complete swings. Determine the average velocity of the man.
The average velocity of the man is determined as 1.25 m/s.
Average velocity of the man
Total distance traveled by the man = 100 m
If 1 complete cycle = 4 s
20 complete cycle = ?
= 20 x 4 s
= 80 s
Average velocity = total distance/total time
Average velocity = 100 m/80 s
Average velocity = 1.25 m/s
Thus, the average velocity of the man is determined as 1.25 m/s.
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calculate the energy a 12V battery can deliver if it can move 3000 C of charge, and the energy that an identical battery (12V) can deliver while moving a charge of 40,000 C
The energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J
Charged material experiences a force when it is exposed to an electromagnetic field due to the physical characteristic of electric charge. You might have a positive or negative electric charge. Contrary charges attract one another while similar charges repel one another.
Given a 12V battery can deliver if it can move 3000 C of charge, and the energy that an identical battery (12V) can deliver while moving a charge of 40,000 C
We have to find total energy that this battery can deliver
Let,
q = 3000 C
V = 12 V
The total energy delivered by battery will be as follow:
U = qv
U = 3000 x 12
U = 36000 J
Similarly for another battery
q = 40000 C
V = 12 V
So total energy delivered will be
U = 40000 x 12
U = 480000 J
Hence the energy a 12V battery can deliver if it can move 3000°C of charge will be 36000 J and the energy that an identical battery (12V) can deliver while moving a charge of 40,000°C will be 480000 J
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Initially, the translational rms speed of a molecule of an ideal gas is 349 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is increased by a factor of 4. What is the final translational rms speed of the molecules
Answer:
The final translational rms speed is 247.51 m/s
Explanation:
The translational rms speed, v= 349 m/s.
Translational rms speed of a molecule of an ideal gas is:
v=[tex]\sqrt{\frac{3KT}{M} }[/tex]If we keep the pressure and volume of the gas constant,
P1=P2=P and V1=V2=V
while the number of molecules is increased by a factor of 4,
n2=4n1
for constant P, V and R
n1RT1=n2RT2
T2=T1/2
so, final translational rms speed, v2:
v2=[tex]\sqrt{\frac{3kT2}{M}}[/tex]v2=[tex]\frac{v1}{\sqrt{2} }[/tex]
substituting values,
v2=349/ sqrt(2)
final translational rms speed:
v2=247.51 m/s
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A 290-turn solenoid having a length of 32 cm and a diameter of 11 cm carries a current of 0.30 A. Calculate the magnitude of the magnetic field inside the solenoid.
The magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.
To find the answer, we need to know about the magnetic field inside the solenoid.
What's the expression of magnetic field inside a solenoid?Mathematically, the expression of magnetic field inside the solenoid= μ₀×n×In = no. of turns per unit length and I = current through the solenoidWhat's is the magnetic field inside the solenoid here?Here, n = 290/32cm or 290/0.32 = 906I= 0.3 A
So, Magnetic field= 4π×10^(-7)×906×0.3 = 3.4×10^(-4) T.Thus, we can conclude that the magnitude of the magnetic field inside the solenoid is 3.4×10^(-4) T.
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