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What force should be applied to the ends of steel rod of a cross sectional area 10 $c m^{2}$ to prevent it from elongation when heated form 273 K to 303 k? (a of steel 10^-5 ° $C^{- 1}$ , Y = 2 × 10¹¹ Nm^-2 )

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2 × 104N

3 × 104N

6 × 104N

12 × 104 N

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detailed solution

Correct option is C

Δ=FlAY Increase in length, Δl=lαΔt from (1) and (2); FlAY=l α Δt⇒F=YAαΔT

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What force should be applied to the ends of steel rod of a cross sectional area 10 cm2 to prevent it from elongation when heated form 273 K to 303 k? (a of steel 10-5 °C-1, Y = 2 × 1011 Nm-2 )

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What force should be applied to the ends of steel rod of a cross sectional area 10 $c m^{2}$ to prevent it from elongation when heated form 273 K to 303 k? (a of steel 10^-5 ° $C^{- 1}$ , Y = 2 × 10¹¹ Nm^-2 )