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The temperature of a wire of length 1 metre and area of cross-section 1 cm2 is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (α=10−5/°C and Y=1011 N/m2)

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a

103N

b

104N

c

105N

d

109N

answer is B.

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Detailed Solution

F= force developed =YAα(Δθ)=1011×10−4×10−5×100=104N

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The temperature of a wire of length 1 metre and area of cross-section 1 cm2 is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (α=10−5/°C and Y=1011 N/m2)