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The average power transmitted through a ...

The average power transmitted through a given point on a string supporting a sine wave is 0.20 W when the amplitude of the wave is 2.0 mm. What power will be transmitted through this point if the amplitude is increased to 3.0 mm.

Text Solution

Verified by Experts

Other things remaining the same the power transmitted is proportioN/Al to the square of the amplitude
Thus, `P_2/P_1=A_2^2/A_1^2`
or, `P_2/(0.20W)=9/4=2.25`
or, `P_2=2.25xx0.2W=0.45W`
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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 wve travelling on a string stretched along the X-axi...

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

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

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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 0.40 g cm^-1 is fixed...

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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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