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Two wires of different densities are sol...

Two wires of different densities are soldered together end to end then stretched under tension T. The waves speed in the first wire is twice that in the second wire.
(a) If the amplitude of incident wave is A, what are amplitudes of reflected and transmitted waves?
(b) Assuming no energy loss in the wire, find the fraction of the incident power that is reflected at the junction and fraction of the same that is transmitted.

A

`y_r = A_r sin (omega t + k_1 x)`

B

`y_t = A_t sin(omega t - k_2x)`

C

`A_r = ((k_1 - k_2)/(k_1 + k_2))A_i`

D

`A_t = ((2k_1)/(k_1 + k_2))A_i`

Text Solution

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The correct Answer is:
A, B, C, D
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