SATHEE: Properties Of Solids And Liquids Question 562

Properties Of Solids And Liquids Question 562

Question: The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel S. The coefficient of volume expansion of copper is $γ_{C}$ . What is the coefficient of linear expansion of silver?

Options:

A) $(C + γ_{C} + S) / 3$

B) $(C - γ_{C} + S) / 3$

C) $(C + γ_{C} - S) / 3$

D) $(C - γ_{C} - S) / 3$

Show Answer

Answer:

Correct Answer: C

Solution:

Apparent coefficient of volume expansion for liquid $γ_{a p p} = γ_{L} - γ_{s}$

$∴$ $γ_{L} = γ_{a p p} + γ_{s}$

where $γ_{s}$ is coefficient of volume expansion for solid vessel.

When liquid is placed in copper vessel, then

$γ_{L} = C + γ_{c o p p e r}$ (i)

[as $γ_{a p p}$ for liquid in copper vessel = C]

When liquid is placed in silver vessel, then

$γ_{L} = S + γ_{s i l v e r}$

[as $γ_{a p p}$ for liquid in silver vessel = S]

From (i) and (ii), we get

$C + γ_{c o p p e r} = S + γ_{s i l v e r}$

$∴$ $γ_{s i l v e r} = C + γ_{c o p p e r} - S$

Coefficient of volume expansion $= 3 \times$ Coefficient of linear expansion

$\Rightarrow$ $α_{s i l v e r} = \frac{γ_{s i l v e r}}{3} = \frac{C + γ_{c o p p e r} - S}{3}$

Properties Of Solids And Liquids Question 562

Question: The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel S. The coefficient of volume expansion of copper is $γ_{C}$ . What is the coefficient of linear expansion of silver?

Options:

Answer:

Solution:

Engineering Preparation

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Properties Of Solids And Liquids Question 562

Question: The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel S. The coefficient of volume expansion of copper is γC . What is the coefficient of linear expansion of silver?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel S. The coefficient of volume expansion of copper is $γ_{C}$ . What is the coefficient of linear expansion of silver?