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Figure shows a plot of the transverse d...

Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in the positive x-direction. The wave speed is `20 cms^-1`. Find (a) the amplitude, (b) the wavelength, (c) the wave number and (d) the frequency of the wave.
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The correct Answer is:
A, B, C, D
Given that `v=20cm/s`
a. amplitude `A=1mm`
b. `Wavelength lamda=4cm`
c. Wave number `n=(2pi)/lamda`
`=((2xx3.14))/4`
`=1.57cm^-1`
`(wave number =k)`
d. Frequencey `f=1/T=20/4=5Hz`
`(where time period T=lamada/v)`
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HC VERMA ENGLISH-WAVE MOTION AND WAVES ON A STRING-Exercises
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  2. A particle on a stretched string supporting a travelling wave, takes 5...

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

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

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

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

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

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

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

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

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

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  12. Two blocks each having a mass of 3.2 kg are connected by a wire CD and...

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  13. In the arrangement shown in figure, the string has a mass of 4.5 g. Ho...

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  14. A 4.0 kg block is suspended from the ceiling of an elevator through a ...

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  15. A heavy ball is suspended from the ceiling of a motor car through a li...

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  16. A circular loop of string rotates about its axis on a frictionless hor...

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  17. A heavy but uniform rope of lenth L is suspended from a ceiling. (a) W...

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  18. Two long strings A and B, each having linear mass density 1.2×10−2kgm−...

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  19. A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produce...

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  20. A 200 Hz wave with amplitude 1 mm travels on a long string of linear m...

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