Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.

Question

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Answer 1

Textbook Question

Chapter 15, Problem Q15.1DQ

Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

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Answer 2

Textbook Question

Chapter 15, Problem Q15.1DQ

Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

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Answer 3

Textbook Question

Chapter 15, Problem Q15.1DQ

Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

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Answer 4

Textbook Question

Chapter 15, Problem Q15.1DQ

Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

Answer 8

(a)

Expert Solution

To determine

Two waves travelling on the same string can have different frequencies or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Two waves travelling on the same string can have different frequencies or not.

Answer 13

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position.

When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies

Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.

Answer 14

(b)

Expert Solution

To determine

Two waves travelling on the same string can have different wavelengths or not.

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

To determine

Two waves travelling on the same string can have different wavelengths or not.

Answer 19

Explanation of Solution

The wavelength is the measuring parameter of any radiation and light.

When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.

Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.

Answer 20

(c)

Expert Solution

To determine

Two waves travelling on the same string can have different speed or not.

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

Answer 21

(c)

Expert Solution

Answer 22

(c)

Expert Solution

Answer 23

Expert Solution

Answer 24

To determine

Two waves travelling on the same string can have different speed or not.

Answer 25

Explanation of Solution

The speed of any wave is the rate of travelling of wave from one medium to another.

When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.

Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.

Answer 26

(d)

Expert Solution

To determine

Two waves travelling on the same string can have different amplitudes or not.

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

Answer 27

(d)

Expert Solution

Answer 28

(d)

Expert Solution

Answer 29

Expert Solution

Answer 30

To determine

Two waves travelling on the same string can have different amplitudes or not.

Answer 31

Explanation of Solution

The amplitude of a wave is the maximum variation of the wave from its original position.

When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.

Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.

Answer 32

(e)

Expert Solution

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.

Answer 33

(e)

Expert Solution

Answer 34

(e)

Expert Solution

Answer 35

Expert Solution

Answer 36

To determine

Two waves travelling on the same string can have same frequency but different wavelengths or not.

Answer 37

Explanation of Solution

The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.

For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.

Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.