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Q.

An iron rod Y=1011N/m2,α=10−5/∘C has a length of one metre and cross-section 10cm2. By raising its temperature from 0°c to 100°C and holding it so that it is not permitted to expand or bend, the force developed is

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a

109N

b

105N

c

104N

d

103N

answer is B.

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Detailed Solution

Y=(F/A)(l/L)  or  F=YAlLFurther l=Lαt(t= temperature rise )∴ F=YALαtL=YAαt=1011×10×10−4×10−5×100=105N
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An iron rod Y=1011N/m2,α=10−5/∘C has a length of one metre and cross-section 10cm2. By raising its temperature from 0°c to 100°C and holding it so that it is not permitted to expand or bend, the force developed is