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How can you say that the equation y =Asi...

How can you say that the equation `y =Asin (omegat =kx)` represents a progressive wave?

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The equation y=Asin^2(kx-omegat) represents a wave motion with

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Check whether, the following equations can represent a progressive (travelling wave) (a) y=A cos(x^(3)-vt) (b) x=Ae^((vt-y))(c) y=A log((x)/(v)-t)

A wave representing by the equation y = A cos(kx - omegat) is suerposed with another wave to form a stationary wave such that point x = 0 is a node. The equation for the other wave is

Adjoining figure shows the snapshot of two waves A and B at any time t. the equation for A is y=Asin (kx-omegat-phi) , and for B it is y=A sin (kx-omega t) . It is clearly shown in the figure that wave A is ahead of B by a distance phi//k .

Prove that the equation y = a sin omegat does not satisfy the wave equation and hence it does not represent a wave.

AAKASH SERIES-WAVE MOTION AND SOUND-EXERCISE (VERY SHORT ANSWER QUESTIONS)
  1. Is it possible to have longitudinal waves on a string? A transverse wa...

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  2. How many times a particle will reach maximum displacement during the t...

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  3. How can you say that the equation y =Asin (omegat =kx) represents a p...

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  4. What is the significance of in the case of omega/k in the case of a p...

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  5. State the principle of superposition of waves.

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  6. What are the conditions required for a wave to get reflected?

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  7. What is the phase difference between the incident wave and the reflect...

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  8. When sound waves travel from air to water which of these remains const...

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  9. What is a stationary wave? What is the distance between a node and the...

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  10. Which type of waves are formed due to vibrations of stretched strings?

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  11. When stretched string vibrates in two segments, how many nodes and ant...

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  12. What is the frequency of 9^(th) overtone on a stretched string of leng...

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  13. If a stretched string is plucked at the centre

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  14. A wire of length 'l' is vibrating in three segments. What is the wavel...

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  15. What is the ratio of the frequency of fouth overtone to the fundamenta...

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  16. What happens to the fundamental frequency of a stretched string when t...

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  17. What happens to the fundamental frequency of a stretched string when i...

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  18. Two identical wires on a sonometer, are stretched with the same tensio...

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  19. When do the paper riders on a sonometer wire fly off?

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  20. When temperature increases, the frequency of a tuning fork

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