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Question

A wire is 4 m long and has a mass of 0.2 kg. The wire is kept horizontally. A transverse pulse is generated by plucking one end of the taut (tight) wire. The pulse makes four trips back and forth along the
cord in 0.8 sec. The tension is the cord will be

A
80 N
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B
160 N
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C
240 N
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D
320 N
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Solution

The correct option is A 80 N
Distance travelled in 4 trips will be 32 m
t=dvv=dt=320.8=40 m/s
Velocity of sound wave is
v=TμT=μv2
T=0.24×(40)2=2×16×104
T=80 N

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