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The pulse shown in figure has a speed of...

The pulse shown in figure has a speed of `10 cm//s` .

(a) If the linear mass density of the right string is 0.25 that of the left string, at what speed does the transmitted pulse travel?
(b) Compare the heights of the transmitted pulse and the reflected pulse to that of the incident pulse.

Text Solution

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The correct Answer is:
A, B, C, D
(a) Assuming tension to be same.
`v prop 1/(sqrt(mu))`
` mu _(RHS) = mu_(RHS)/4`
` :. V_(RHS) = 2v_(LHS) = 20 cm//s` .
(b) `A_r = ((v_2-v_1)/(v_2+v_1)) A_i `
` :. A_r/A_i= ((20-10)/(20+10)) = 1/3`
`A_t/A_i = ((2v_2)/(v_1+v_2)) = ((2xx20)/(20+10)) = 4/5` .
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