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Question

Each wire in Fig. has cross-section area 5×103cm2 and Y=2×1011Pa. P, Q and R have mass 3kg each. Find the strain developed in A. Assume surface to be smooth.

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A
105
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B
106
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C
104
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D
none
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Solution

The correct option is B 104
From the free body diagram, we can easily see,
3gT1=3aT1T2=3aT2=3a
Adding the three, we get:
a=g3;T2=3a=gΔll=F/AY=TAY=g5×103×2×1011×104=104

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