A grocery shopper tosses a(n) 8.5 kg bag of
rice into a stationary 17.4 kg grocery cart.
The bag hits the cart with a horizontal speed
of 5.5 m/s toward the front of the cart.
What is the final speed of the cart and bag?
Answer in units of m/s.

When a hockey puck with a momentum of 5 kg-m/s is struck by a hockey stick, it receives an impulse of 100 N.

The force of friction is the imbalanced force in the situation of an already moving object (such as a puck sliding on an ice surface). In this situation, the puck's acceleration (slowing) is proportional to the amount of friction. More friction causes the puck to slow down faster. According to Newton's third law of motion, every action has an equal and opposite response. When a player is skating, for example, his skates push off the ice, causing an opposing reaction that propels the player ahead and increases his speed.

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The Young's Modulus of the wire of length 50 cm is 4.0×10⁵ N/m.

Young's modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.

To calculate the young's modulus of the wire, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the Young's Modulus is 4.0×10⁵ N/m.

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When a ball rolls horizontally off the edge of a cliff at 4.00 m/s, then the height of the cliff is calculated as 276 m.

The motion of any object thrown or projected into the air is called projectile motion. Form of motion experienced by object that is projected in a gravitational field is called projectile motion.

d is distance ;velocity is  v= 4m/s

As, d = v t

30.0 = 4.00 t

So, t = 7.50 s

We know that, h = 1/2 g t^2

h = 1/2 (9.81) (7.5)^2

h = 275.9

Hence, h = 276 m

The height of the cliff is 276 m.

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The left side of the can receives a negative charge from the positively charged rod, which creates a force of attraction between both the rod and the can.

In science, the term "force" has a particular definition. At this point, describing a force as pushing or pulling is quite acceptable. A force does not "exist in an object" or "contain an object." One object experiences a force from another. Living organisms and inanimate objects are both included in the concept of a force.

A force is either a push or a pull, and it has an impact on our everyday lives because without it, we couldn't open and close things, lift our arms and legs, or do much of anything else.

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Answer:

When two objects collide, the forces that are exerted on each other are determined by their masses and speeds. If the mass of one of the objects is increased, the force that it exerts on the other object during the collision will also increase. Similarly, if the speed of one of the objects is increased, the force that it exerts on the other object during the collision will also increase. In general, the greater the mass and speed of an object, the greater the force that it will exert on another object during a collision. However, it is important to note that the direction of the forces will remain the same, regardless of the masses or speeds of the objects involved.

With the sign in front of you, you are waiting in short formation for an intersection taxiing on runway 8. In order to depart from runway 8, you should turn left as you enter the runway.

In contrast to towing or pushback, where the aircraft is moved by a tug, taxing (sometimes written taxying) is the movement of an aircraft on the ground under its own power. Although the name refers to vehicles with wheels most often, it also covers vehicles with skis or floats.

Taxiways are used by airplanes to go between locations on an airport, such as from a hangar to the runway. The takeoff roll and landing rollout, which are the accelerating run and descending run along a runway, respectively, before takeoff and landing, respectively, are not referred to as "taxiing."

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Electric field strength at (2.1m,3.0m) = 14.914 V/m

So in order to find electric field strength at a point whose cordinate is (x,y) is given by the term E(x,y)

Given:

V=200 (V⋅m) /√(x2+y2),  

E = ∂V/∂x i + ∂V/∂y j

where i is vector along x axis whose magnitude is 1 and hence it is unit vector and j is vector along y axis whose magnitude is 1 and hence it is unit vector.

∂V/∂x  =  [tex]\frac{-200x}{(x^2+y^2)^3^/^2}[/tex]

=>  (-200*2.1)/49.11

=>   8.55

∂V/∂x  =  [tex]\frac{-200y}{(x^2+y^2)^3^/^2}[/tex]

=> (-200*3)/49.11

=> 12.22

so E(2.1,3) = -8.55 i -12.22 j

  so E = [tex]\sqrt{-8.55*-8.55 + -12.22*-12.22}[/tex]

=> [tex]\sqrt{222.43}[/tex]

=> 14.914 V/m

so the magnitude of Electric field at (2.1m,3.0m) = 14.914 V/m

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Complete question:

The electric potential in a region of space is V= 200 (V⋅m) /√(x2+y2), where x and y are in meters. Find the strength of the electric field at (x,y)=(2.1m,3.0m) ?

The number of forces acting on the helicopter is 3.

The forces on the system are not balanced

The magnitude of the thrust is 7,112,5 N.

The net force of the helicopter  is 5,912.5 N

The magnitude of the helicopter's acceleration is 1.97 m/s².

The speed of the helicopter is increasing towards to the right.

The number of forces acting on the helicopter is calculated as follows;

The magnitude of the thrust is calculated as;

F = W sinθ

F = (3000 x 9.8 x sin14)

F = 7,112.5 N

The net force of the helicopter  is calculated as follows;

F (net) = drag force + thrust force

F (net) = - 1200 N + 7,112.5 N

F (net) = 5,912.5 N

The acceleration of the helicopter is calculated as follows;

F (net) = ma

where;

a = F (net) / m

a = 5,912.5 / 3000

a = 1.97 m/s²

Thus, since the acceleration of the helicopter is positive, the speed of the system is increasing towards to the right

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The girl may choose any of the slides. It is irrelevant. She would move at the same pace down each slide.

At the top of the slide, the youngster initially has gravitational potential energy. The youngster possesses thermal energy as well as kinetic energy when they reach the bottom of the slide since some of the energy was heated up due to friction. The curved slide is the fastest despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.

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The turning-point angles is θ = 9.666 degrees if the child has a speed of 0.80 m/s when the ropes are vertical.

As per the details provided in the above question are as bellow,

The speed at bottom = v = 0.8 m/s

The length of the rope = l = 2.3 meter

The Work Energy Theorem provides us with,

The energy an item has as a result of motion is known as kinetic energy. A force must be applied to an item in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

Change in kinetic energy = net work done

[tex]0 - 0.5mv^2 =[/tex]- mgl (1-cosθ)

[tex]0.5 \times 0.8^2[/tex] = 9.8 x 2.3 (1-cosθ)

angle θ = 9.666 degrees

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Note:- The correct question would be as bellow,

A child swings back and forth on a swing suspended by 2.3m -long ropes.

Find the turning-point angles if the child has a speed of 0.80 m/s when the ropes are vertical.

If you placed 1.00 coulomb (C) of positive charge on the Earth and 1 C of negative charge 384,500 km away on the Moon, the positive charge on the Earth would experience a gravitational force of attraction towards the negative charge on the Moon.

The gravitational force of attraction between two charged particles is given by the formula:

where F is the gravitational force, k is the Coulomb constant, q1 and q2 are the charges of the two particles, and r is the distance between them.

Plugging in the values provided, we get:

F = (8.99 x 10^9 N*m^2/C^2) * (1 C) * (1 C) / (384,500 km)^2

= 2.34 x 10^-9 N.

This is a very small force due to the large distance between the two charges and the relatively small magnitude of their charges.

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The answer is 8 m/s to the left. The average speed of the car, according to our research, is four meters per second.

The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar number, denoted by the equation

r = d/t,

that quantifies the distance traveled (d) over the change in time (t). All of the elevator's energy (4000 J) will be converted into acceleration if it descends from the top to the bottom at a constant rate of acceleration.

The elevator's 8ms velocity is the answer.

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The angle of refraction of the ray of light entering the Diamond is 16.8°.

The diamond from the water at an angle of 21.2 degrees to the normal.

According to the law of refraction, the ratio of the sign of the angle of incidence and the angle of refraction of the ray of light is constant.

Sin i/Sin r = n

n is the refractive index of the material in which the light is entering.

The refractive index of the Diamond is 2.42.

Putting all the values,

Sin(21.2°)/Sin(r) = 2.42

0.71/Sin(r) = 2.42

Sin(r) = 0.71/2.42

Sin(r) = 0.29

r = Sin inverse (0.29)

r = 16.86°

So, the angle of refraction is found to be 16.86°.

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The Doppler effect, described in 1842 by Christian Andreas Doppler, is the change or shift in the frequency or wavelength of a wave due to relative movement between a sound source or scatterer and the receiver.

Formula

[tex]$$f_o=\frac{v+v_o}{v+v_s} f_s$$$f_0=$ observer frequency of sound$v=$ speed of sound waves$v_o=$ observer velocity$v_s=$ source velocity[/tex][tex]$f_s=$ actual frequency of sound waves[/tex]

The Doppler effect is a phenomenon that occurs when two objects move closer or farther apart, increasing (or decreasing) the frequency of sound, light, or other waves. A source's waves are compressed as they move in the direction of the observer.

The Doppler effect operates as follows: When a loud object approaches you, its sound waves congregate and increase in frequency or pitch. On the other hand, the sound waves spread apart and the pitch drops as the object moves away from you. The pitch change increases with object speed.

The Doppler effect causes the frequency of light waves coming from moving sources to either shift to the blue or red. This behaves in a way that is similar to other types of waves, such sound waves, but not exactly the same.

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a. The current through the battery immediately after the switch is closed is 0.5 A .

b. The current through the battery after the switch has been closed a long time is 1 A.

Since the initial resistance offered by the inductor is very strong, the entire current only flows through a single 20 ohm resistance.

Current (I)= [tex]\frac{ 10 V }{20 ohm }[/tex]

              I= 0.5 A

After a while, the current stabilizes, and the inductor merely functions as a conducting route. Due to their parallel arrangement, both 20 ohm resistances have an equivalent resistance of [tex]\frac{(20)(20)}{20+20}[/tex], which equals 10 ohm.

Current (I)= [tex]\frac{10V}{10 ohm}[/tex]

              I = 1 A

Therefore, the initially the current is 0.5 A and after the switch has been closed for longtime the current is 1 A.

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Answer:

Below

Explanation:

a)  At constant speed the only force acting downward is the usual Normal Force due to gravity

Fn = mg = 4.8 * 9.81 =47.1 N

                the force of friction is then Ff =  Fn * coeff = 47.1 * .28 = 13.2 N

b)  If the acceleration is UPWARD this adds to g

      Fn then becomes

             Fn = 4.8 ( 9.81 + 1.6) = 54.8 N   and    Ff = 54.8 * .28 = 15.3 N

c)  Similar to b)  but this time the acceleration of the elevator SUBTRACTS from gravity    

    Fn = 4.8 ( 9.81 - 1.6) = 39.4 N    and    Ff = 39.4 * .28 = 11.0 N

To obtain a 3 degree drop, begin your descent three times your altitude (measured in thousands of feet).

Start down at 3 x 50 = 150 miles out if you are at 45,000 feet, for ease of calculation, round the height up to 50. When an airplane is between 100 and 120 miles from its destination, it often starts to descend (assuming the cruising altitude is above 30,000 feet). Typically, people use some variation of the 3/6  to larger aircraft: The distance back to begin the fall is 3 times the height (in thousands of feet), and the descending rate is 6 times your ground speed.

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Fnorm = 58.8 N; Fnorm = 58.8 N; Fapp = 15 N; Fnet = 0 N. In the case of constant velocity, a = 0 m/s/s and Fnet = 0 N, Fgrav = m • g • 9.8 m/s/s • 6 kg • 58.8 N Ffrict = Fapp = 15 N since there is no horizontal acceleration.

A book is moved across a desk with a rightward acceleration by applying a rightward push to it. Consider the effects of friction. Pass over air resistance. Static Friction = Normal Force x Static Friction Coefficient is the formula for calculating static friction.

Newton's second law of motion provides the definition of the force formula: An object's force is equal to its mass times its acceleration. F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).

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If the current i(t) in the circuit at time t after the switch is closed  in terms of q0 , l , c the differential equation will be V(t) = (q0/C) × e^(−t/RC )

The equation for V(t) would be V(t)=E(RC)(dV(t)/dt) if a battery with EMF E was present in the circuit. With respect to V(t), this differential equation is no longer homogenous. But it can be resolved by simply substituting Vb(t)=V(t)E. This substitution has the effect of removing the E term and producing an equation for Vb(t) that is the same as the equation you solved for V(t). When a battery is supplied, the capacitor's initial condition is typically that it is completely discharged at time t=0.

In these circumstances, the solution will appear as V(t)=E(1et/(RC)) Since the voltage across the capacitor is zero at time t=0 according to this solution, is 0 at time t=0 since the capacitor wasn't charged at that point, and it climbs asymptotically to E.

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The setter is running at a speed of 3.7 m/s , Running at a speed of 7.59 meters per second is the rabbit. So, the rabbit is faster than irish setter.

A body's kinetic energy may be calculated using the equation

1/2m1v12 = 1/2m2v22.

If the kinetic energy of the rabbit and the Irish setter is equal, then

The rabbit's kinetic energy is equal to the setter's kinetic energy.

Where m1 is the mass of the rabbit, v1 is its speed, and m2 is the mass and v2 is its speed of the setter.

Making the variable v1 the subject of the equation v1 = v2(m2/m1)... Equivalent 3

Given: v2 = 4.9 m/s, m1 = 5.0 kilogram, and m2 = 12.0 kg.

Equation 3 is changed by using v1 = 4.9(12/5) v1 = 4.92.4 v1 = 4.91.549 v1 = 7.59 m/s speed .

The rabbit is therefore moving at speed of 7.59 m/s.

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The magnitude of the boat’s acceleration while it travels 12.0 m is b. 2.5 [tex]ms^{-2}[/tex]

u= 9.5 [tex]ms^{-1}[/tex]

v= 5.5 [tex]ms^{-1}[/tex]

s= 12 m

From the given data we can use,

[tex]v^{2} -u^{2} =2as[/tex]

to calculate acceleration.

[tex]v^{2} -u^{2} =2as[/tex],

Where,

v is the final velocity,

u is the initial velocity,

a is the acceleration and

s is the distance covered.

Substituting the values we have,

[tex]v^{2} -u^{2}[/tex]= 2×a×s

[tex](5.5)^{2}[/tex] - [tex](9.5)^{2}[/tex]= 2 ×a×12

a= [tex]\frac{(5.5)^{2} -(9.5)^{2}}{(2)(12)}[/tex]

a= [tex]\frac{(30.25)^{2} -(90.25)^{2}}{(24)}[/tex]

a=[tex]\frac{-60}{2000}[/tex]

a=-2.5 [tex]ms^{-1}[/tex]

(The negative sign says that it is a negative acceleration  )

Therefore the magnitude of the boat's acceleration is -2.5 [tex]ms^{-1}[/tex]

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Two methods are used by astronomers to determine the age of the universe: 1) searching for the oldest stars, and 2) calculating the universe's rate of expansion and extrapolating back to the Big Bang.

Just as homicide investigators can determine a bullet's source from the holes it leaves in a wall. to calculate the ages of old, nearby stars and the distance between Earth and numerous galaxies. According to the best calculations of scientists, the universe is 13.8 billion years old. However, we are not totally certain of its age, as we are with so many of the largest-scale characteristics of the cosmos.

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Answer:

Scientific theories are attempts to explain how events occur in the natural world.

Explanation:

A scientific theory is an explanation for a wide range of observations and phenomena that have been tested and supported by multiple lines of evidence. A theory is not based on a single piece of evidence, but rather on a collection of evidence that has been accumulated over time through careful observation and experimentation.

Scientific theories are based on facts, which are observations of events in the natural world. However, a theory goes beyond simply describing these events; it seeks to explain why and how they occur. For example, the theory of evolution explains how organisms have evolved over time through natural selection. It is based on a wide range of evidence, including observations of the fossil record, comparative anatomy, and molecular biology, among others.

Overall, scientific theories are important tools for understanding and explaining the natural world, and they are constantly being revised and updated as new evidence becomes available.

A) 13.2 m, The snowmobile moves at a constant speed when the drive force is engaged; as the acceleration is zero, there is no net force. On the other hand, the net force is the product of two forces acting on the snowmobile: the driving force, F, and the frictional force, Ff: F-Ff=0, Ff=F.

(b) 4.2 s, The relationship between the snowmobile's acceleration and time t is given by: a=v-u/t, The time it takes the snowmobile to stop is 4.2 seconds after rearranging for t and entering numbers.

The simplest definition of magnitude in physics is "distance or quantity." In either an absolute or relative meaning, it displays the size or motion of an object.

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An under-excited generator a. absorbs reactive power from the system

In an electrical power system, generators are used to produce electrical energy by converting mechanical energy into electrical energy. Under-excited generators are generators that are operating at a voltage below their rated value. These generators are used where it is necessary to maintain a specific voltage in the electrical system. For example, in some power systems, load on the generator may vary, and generator may need to adjust its output to match the changing load.

When a generator is under-excited, it absorbs reactive power from the system, which is a type of electrical power that is not used to do work. Reactive power is required to create and maintain the alternating current in an electrical system, but it does not perform any useful work. Absorbing reactive power helps to maintain the proper voltage and frequency in the system.

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No two-slit interference pattern be observed when the light from the slits will not falls on a screen.

Because the condition of the interference is the distance between the slits equals or close to the wavelength of the red light. For distance of 25 cm, it is a very large distance that prevents the interference of the red light to occur. So, the answer is no.

Interference is the phenomenon where two waves combine by applying a displacement at any one point in space and time to form waves of greater, lesser or equal amplitude. Constructive and destructive interference arise from correlated or coherent wave interactions. This is because they originate from the same source or have the same or nearly the same frequency. Interference effects can be observed in all kinds of waves: light, radio waves, sound, surface water, gravity, matter waves.

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Angela092505's response Solar thermal electric generation systems that use mirrors or lenses to focus sunlight to heat water are the answer.

define solar heating ?

The use of sunlight to heat water or air in buildings is known as solar heating. Solar heating is classified into two types: passive and active.

To heat buildings, passive heating relies on architectural design. The location, construction, and materials of the building may all be used to optimise the heating (and lighting) impact of the sunshine falling on it, minimising or even eliminating the need for fuel. On sunny days, a well-insulated structure with a large glass window facing south, for example, can efficiently trap heat and decrease dependency on gas or oil (for heating) or electricity (for lighting). Natural convection warms the air and solid surfaces in rooms exposed to sunlight, and this warmth is carried to other rooms in the building.

What kind of solar heating system is most efficient in producing high-temperature water for industrial uses or steam to power turbines that generate electricity Angela092505's response Solar thermal electric generation systems that use mirrors or lenses to focus sunlight to heat water are the answer.

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The period of motion is simple hormonic motion and the maximum speed of the particle is 0.0031s

(a) Simple harmonic motion is defined as "the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's Law (F=-Kx). The motion experimented by the particle is sinusoidal in time and demonstrates a single resonant frequency".

(b) The equation that describes the simple harmonic motion is given by =

= X = Acos(ωt + θ)     [1]

And taking the first and second derivate of the equation (1) we obtain the velocity and acceleration function respectively.

For the velocity:

= V = dx/dt = -Aωsin(ωt + θ)        [2]

For the acceleration:

= A = dv/dt =  -Aω²cos(ωt + θ)           [3]

As we can see in equation [3] the acceleration would be maximum when the cosine term would be -1 and on this case:

= Aω² = 8x10³ m/s²

Since we know the amplitude A=0.002m  we can solve for ω like this:

= ω = √ (8000/0.002)

= ω = 2000 rad

And we with this value we can find the period with the following formula;

= T = 2π/ω = 0.0031s

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The complete question:

A 10 g particle undergoes SHM with an amplitude of 2.0 mm and a maximum acceleration of magnitude 8.0 multiplied by 103 m/s2, and an unknown phase constant ?.(a) What is the period of the motion?1 s(b) What is the maximum speed of the particle?

The best explanation why the box’s final kinetic energy is less than its initial potential energy is that some potential energy was converted into thermal energy due to friction.

option B is the correct answer.

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

According to law of conservation of energy, we have the following energy conversion process.

In absence of friction, the potential energy of the box at the top of the ramp is equal to the kinetic energy of the box at the bottom of the ramp.

In the presence of friction, some  potential energy will be converted into thermal energy due to friction and the final kinetic energy will be smaller than the initial potential energy.

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Answer:

The answer above is correct (I just did it on Edge.) - It's option B!

Explanation:

Hope this helped - brainliest would be greatly appreciated!

Have a great day :D

The incident beam of light has a single, monochromatic wavelength. When this beam is absorbed by the hydrogen atoms, the atoms become excited and eventually relax back to the ground state, emitting light at several different wavelengths.

(a) It is not possible to determine the wavelength of the incident beam based on the information provided.

(b) The longest wavelength in the emission spectrum of the hydrogen atoms corresponds to the transition between the lowest energy levels in the atom. In the case of hydrogen, the ground state is the lowest energy level, so the longest wavelength would correspond to a transition from an excited state to the ground state.

(c) The portion of the electromagnetic spectrum to which the longest wavelength belongs depends on the specific value of the wavelength. The electromagnetic spectrum includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

(d) The series to which the longest wavelength belongs can be determined by the values of the energy levels involved in the transition. In the case of hydrogen, there are three series: the Lyman series, the Balmer series, and the Paschen series. The Lyman series corresponds to transitions from higher energy levels to the ground state, the Balmer series corresponds to transitions from intermediate energy levels to the ground state, and the Paschen series corresponds to transitions from lower energy levels to the ground state.

(e) The shortest wavelength in the emission spectrum corresponds to the transition between the highest energy levels in the atom. In the case of hydrogen, the shortest wavelength would correspond to a transition from an excited state to a higher energy level.

(f) The portion of the electromagnetic spectrum to which the shortest wavelength belongs depends on the specific value of the wavelength.

(g) The series to which the shortest wavelength belongs can be determined by the values of the energy levels involved in the transition. In the case of hydrogen, the shortest wavelength would belong to the Lyman series, since it corresponds to a transition from an excited state to a higher energy level

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