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The displacement of the particle at x = ...

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given by `f(t)sin(t/T)`. The wave speed is v. Write the wave equation.

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The correct Answer is:
A
At `x=0, f(t)=a sin (t/T)`
wave speed =v
`rarr lamda=wavelength
`=vT(T=` Time period)`
So, general of equation of wave
`y=Asin[(t/T)-(x/(vT))]
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HC VERMA-WAVE MOTION AND WAVES ON A STRING-Exercises
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  2. A pulse travelling on a string is represented by the function y=a^3/...

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

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

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  5. A wave propagates on a string in the positive x-direction at a velocit...

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

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

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  8. A wave is decribed by the equation y = (1.0mm) sin pi ((x)/(2.0cm) - (...

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

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

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

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

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  13. A string of length 20 cm and linear mass density 0.40 g cm^-1 is fixed...

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

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

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

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

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

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

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

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