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Question

A wave moves with speed 400 m/s on a wire , which is under a tension of 900 N. If the wave moves with 450 m/s, then the change in tension of the wire is

A

250 N
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B
+250 N
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C
+239 N
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D
239 N
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Solution

The correct option is C +239 N
Speed of a transverse wave on wire is
v=Tμ ......(1)
From this, we can write that,
v1v2=T1T2
T2=T1×(v2v1)2
From the data given in the question,
T2=900×(450400)21139 N
Then,
T2T1=1139900=239 N
Tension should be increased by 239 N
Thus, option (c) is the correct answer.

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