SATHEE: Properties Of Solids And Liquids Question 543

Properties Of Solids And Liquids Question 543

Question: The volume of a metal ball increases by 0.18% when its temperature is increased by $30^{o} C$ What is the coefficient of linear expansion of metal?

Options:

A) $2 \times 10^{- 5} l^{0} C$

B) $3 \times 10^{- 5} l^{0} C$

C) $6 \times 10^{- 5} l^{0} C$

D) $1.8 \times 10^{- 4} l^{0} C$

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Answer:

Correct Answer: A

Solution:

Increase in volume of ball $Δ V = V γ Δ T$

$\frac{Δ V}{V} = γ Δ T$

$\frac{Δ V}{V} = \frac{0.18}{100}$ and $Δ T = 30^{0} C$

$∴$ $γ = \frac{Δ V}{V Δ t} = \frac{0.18}{100 \times 30} = 6 \times 10^{- 5}$ per $^{0} C$

$α = \frac{γ}{3} = \frac{6 \times 10^{- 5}}{3} = 2 \times 10^{- 5}$ per $^{0} C$

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Properties Of Solids And Liquids Question 543

Question: The volume of a metal ball increases by 0.18% when its temperature is increased by 30oC What is the coefficient of linear expansion of metal?

Options:

Answer:

Solution:

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Question: The volume of a metal ball increases by 0.18% when its temperature is increased by $30^{o} C$ What is the coefficient of linear expansion of metal?