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Byju's Answer

Standard XII

Physics

Motion Under Gravity

A thin rod of...

Question

A thin rod of negligible mass and cross-sectional area 4x10 $^{- 6} m^{2}$ , suspended vertically from one end, has a length of 0.5 m at 100 $^{o}$ C. The rod is cooled to 0 $^{o}$ C. Youngs modulus $=$ 10 $^{11}$ Nm $^{- 2}$ , coefficient of linear expansion $=$ 10 $^{- 5}$ K $^{- 1}$ and g $= 10 m s^{- 2}$
The decrease in the length of the rod on cooling is:

2x10

^{- 4}

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3x10

^{- 4}

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4x10

^{- 4}

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5x10

^{- 4}

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Solution

The correct option is C 5x10 $^{- 4}$ m
$Δ T = - 100$
$Δ L = L α Δ T$
$= (0.5) (10^{- 5}) (- 100)$
$Δ L = - 5 \times 10^{- 4} m .$

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Similar questions

Q. A thin rod of negligible mass and cross-sectional area

4 \times 10

^{- 6} m^{2}

, suspended vertically from one end, has a length of 0.5 m at 100

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C .Young's modulus

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Q. A thin rod of negligible mass, length

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and area of cross-section

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The correct option is C 5x10−4mΔT=−100ΔL=LαΔT=(0.5)(10−5)(−100)ΔL=−5×10−4m.

The correct option is C 5x10 $^{- 4}$ m
$Δ T = - 100$
$Δ L = L α Δ T$
$= (0.5) (10^{- 5}) (- 100)$
$Δ L = - 5 \times 10^{- 4} m .$