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Q.

A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section  10−2 cm2. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire α=8×10−6/°C and Young's modulus  Y=2.2×1011 N/m2 and its temperature is increased by 5°C, then the increase in the tension of the wire will be

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a

4.2 N

b

4.4 N

c

2.4 N

d

8.8 N

answer is D.

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Detailed Solution

Increase in tension of wire =YAαΔθ=8×10−6×2.2×1011×10−2×10−4×5=8.8 N
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A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section  10−2 cm2. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire α=8×10−6/°C and Young's modulus  Y=2.2×1011 N/m2 and its temperature is increased by 5°C, then the increase in the tension of the wire will be