A light steel wire of length L and area of cross-section A is hanging vertically downward from a ceiling- It cools to the room temperature 30- C from the initial temperature 100-C- The weight which should be attached at its lower end such that its length remains the same is Young-s modulus of steel is Y and coefficient of linear expansion is -

The correct option is A 70 Aα Y Δ L =L α nbsp;Δ t Δ L= WLAY L α nbsp;Δ T = nbsp;WLAY W=AY α nbsp;Δ T W = AY α (100 30) ...

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Standard XII

Physics

Poisson's Effect

A light steel...

Question

A light steel wire of length L and area of cross-section A is hanging vertically downward from a ceiling. It cools to the room temperature ( $30^{\circ} C$ ) from the initial temperature $100^{\circ} C$ . The weight which should be attached at its lower end such that its length remains the same is (Young's modulus of steel is Y and coefficient of linear expansion is $α$ )

70 A α Y

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70 A α / Y

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130 A α Y

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130 A α / Y

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Solution

The correct option is A $70 A α Y$
$Δ L = L α Δ t$
$Δ L = \frac{W L}{A Y}$
$L α Δ T = \frac{W L}{A Y}$
$W = A Y α Δ T$
$W = A Y α (100 - 30)$
$W = 70 A Y α$

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The correct option is A 70AαYΔL=LαΔtΔL=WLAYLαΔT=WLAYW=AYαΔTW=AYα(100−30)W=70AYα

The correct option is A $70 A α Y$
$Δ L = L α Δ t$
$Δ L = \frac{W L}{A Y}$
$L α Δ T = \frac{W L}{A Y}$
$W = A Y α Δ T$
$W = A Y α (100 - 30)$
$W = 70 A Y α$