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The transvers displacement of a string (...

The transvers displacement of a string (clamped at its both ends) is given by
`y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit)`
Where `x` and `y` are in `m` and `t` in `s`. The length of the string `1.5 m` and its mass is `3.0 xx 10^(-2) kg`.
Answer the following :
(a) Does the funcation represent a travelling wave or a stational wave ?
(b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength. Frequency and speed of each wave ?
Datermine the tension in the string.

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Let's solve the problem step by step. ### Given: The transverse displacement of the string is given by: \[ y(x,t) = 0.06 \sin\left(\frac{2\pi}{3} x\right) \cos(120 \pi t) \] Where: - \( x \) and \( y \) are in meters - \( t \) is in seconds ...
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NCERT ENGLISH-WAVES-EXERCISE
  1. A transverse harmonic wave on a strin is decribed by y(x,t) = 3.0 si...

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  2. For the wave described in Exercise 15.8, plot the displacement (y) ver...

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  3. For a travelling harmonic wave y=2.0 cos(10t-0.0080x+0.35), where x an...

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  4. The transvers displacement of a string (clamped at its both ends) is g...

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  5. (i) The transverse displacement of a string (clamped at its two ends )...

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  6. Given below are some functions of x and t to represent the displacemen...

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  7. A wire stretched between two rigid supports vibrates in its fundamenta...

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  8. A metre-long tube open at one end, with a movable piston at the other ...

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  9. A steel rod 100 cm long is clamped at its middle. The fundamental freq...

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  10. A pipe 20cm long is closed at one end. Which harmonic mode of the pipe...

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  11. Two sitar strings A and B playing the note 'Ga' are slightly out of tu...

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  12. Explain why (or how) : (a) In a sound wave, a displacement node is a p...

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  13. A train, standing at the outer signal of a railway station blows a whi...

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  14. A train, standing in a stationyard, blows a whistle of frequency 400Hz...

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  15. A travelling harmonic wave on a string is described by y(x,t)=7.5sin(0...

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  16. A narrow sound pulse (for example, a short pip by a whistle) is sent a...

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  17. One end of a long string of linear mass dnesity 8.0xx10^(-3)kgm^(-1) i...

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  18. A SONAR system fixed in a submarine operates at a frequency 40.0kHz. A...

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  19. Earthquakes generate sound waves inside the earth. Unlike a gas, the e...

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  20. A bat is flitting about in a cave, navigating via ultrasonic beeps. As...

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