Coefficient of cubical expansion of a metal cube is - - Increase in temperature for which the volume of the cube increases by 5

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Standard XII

Physics

Bulk Modulus

Coefficient o...

Question

Coefficient of cubical expansion of a metal cube is $γ$ . Increase in temperature for which the volume of the cube increases by 5% is:

0.05 γ

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0.5 γ

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0.5 / γ

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0.05 / γ

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Solution

The correct option is D $0.05 / γ$
It is given that $V_{2} = 1.05 V_{1}$
Also, we know that $V_{2} = V_{1} (1 + γ Δ T)$
Equating , we get
$γ Δ T = 0.05$
So, $Δ T = \frac{0.05}{γ}$

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Coefficient of cubical expansion of a metal cube is γ . Increase in temperature for which the volume of the cube increases by 5% is:

The correct option is D 0.05/γIt is given that V2=1.05V1Also, we know that V2=V1(1+γΔT)Equating , we getγΔT=0.05So, ΔT=0.05γ

Coefficient of cubical expansion of a metal cube is $γ$ . Increase in temperature for which the volume of the cube increases by 5% is:

The correct option is D $0.05 / γ$
It is given that $V_{2} = 1.05 V_{1}$
Also, we know that $V_{2} = V_{1} (1 + γ Δ T)$
Equating , we get
$γ Δ T = 0.05$
So, $Δ T = \frac{0.05}{γ}$