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Consider the wave y=(5mm)sin[(1cm^-1)x-(...

Consider the wave `y=(5mm)sin[(1cm^-1)x-(60s^-1)t]`. Find the amplitude, b. the wave number, c the wavelength d. the frequency e. the time period and f. the wave velocity.

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Comparing the given equation with equation (15.15, we find
a amplitude `A=5mm`
b. Wave number `k=1cm^-1`
c. wavelength `lamda=(2pi)/k=2picm`
`d =frequency v=omega/(2pi)60/(2pi)Hz`
`=30/piHz`
e. time period `T=1/v=pi/30s`
`f. wave velocity u=vlamda=60cms^-1`
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HC VERMA-WAVE MOTION AND WAVES ON A STRING-Exercises
  1. Consider the wave y=(5mm)sin[(1cm^-1)x-(60s^-1)t]. Find the amplitude...

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  2. A wave pulse passing on a string with speed of 40cms^-1 in the negativ...

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  3. The equation of a wave travelling on a string stretched along the X-ax...

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  4. Figure shows a wave pulse at t=0. The pulse moves to the right with a ...

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  5. A pulse travelling on a string is represented by the function y=a^3/...

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  6. The displacement of the particle at x = 0 of a stretched string carryi...

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  7. A wave pulse is travelling on a string with a speed v towards the posi...

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  8. A wave pulse is travelling on a string with a speed v towards the posi...

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  9. The equation of a wave travelling on a string is y=(0.10mm)sin[3.14m^-...

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  10. A wave travels along the positive x-direction with a speed of 20 ms^-1...

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  11. A wave is described by equation y = (1.0 mm) sin pi ((x)/(2.0 cm) - ...

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  12. A particle on a stretched string supporting a travelling wave, takes 5...

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  13. Figure shows a plot of the transverse displacements of the particles ...

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  14. A wave travelling on a string at a speed of 10 ms^-1 causes each parti...

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  15. A steel wire of length 64 cm weighs 5 g. If it is stretched by a force...

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  16. A string of length 20 cm and linear mass density 0.4 g//cm is fixed a...

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  17. A string of linear mass density 0.5 g cm^-1 and a total length 30 cm i...

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  18. Two wires of different densities but same area of cross section are s...

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  19. A transverse wave described by y=(0.02m)sin[(1.0m^-1)x+(30s^-1)t] ...

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  20. A travelling wave is produced on a long horizontal string by vibrating...

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  21. A string of length 40 cm and weighing 10 g is attached to a spring at ...

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