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An iron bar whose cross sectional area is 4cm2 is heated from 0°C and 100°C. The force required to prevent the expansion of the rodis [Y of Iron = 2 × 1012 dyne / cm2 α of Iron = 2 × 10-6 /°C]

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a

0.96×108N

b

0.96×107N

c

9.6×107N

d

96×103N

answer is D.

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Detailed Solution

Δ=FlAY …(1)Increase in length Δ=laΔt …(2)from (1) and (2) FlAY=laΔt⇒F=YAaΔT

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An iron bar whose cross sectional area is 4cm2 is heated from 0°C and 100°C. The force required to prevent the expansion of the rodis [Y of Iron = 2 × 1012 dyne / cm2 α of Iron = 2 × 10-6 /°C]