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Figure shows a string of linear mass den...

Figure shows a string of linear mass density `1.0g cm^(-1)` on which a wave pulse is travelling. Find the time taken by pulse in travelling through a distance of `50 cm` on the string. Take `g = 10 ms^(-2)`

A

0.5 s

B

0.0005 s

C

0.05 s

D

5 s

Text Solution

Verified by Experts

The correct Answer is:
C
The tension in the string is `T = mg = 10 N`. The mass per unit length is
`mu = 1.0 g cm^(-1) = 0.1 kg m^(-1)`. The wave velocity is, therefore, `v = sqrt(T/mu) = sqrt((10N)/(0.1 kg m^(-1))) = 10 ms^(-1)`. The time taken by the pulse in travelling through `50 cm` is, therefore `0.05 s`.
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Knowledge Check

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