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PHXI11:THERMAL PROPERTIES OF MATTER

366699 Assertion :
A solid and hollow sphere of same diameter and same material when heated through the same temperature will expand by the same amount
Reason :
The change in volume is independent of the original mass but depends on original volume.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI11:THERMAL PROPERTIES OF MATTER

366700 The volume of a metal block is $4000 c m^{3}$ at 273 $K$ . What would be its volume at $373 K$ ? (give $α$ of the metal is $18 \times 10^{- 6} K^{- 1}$ )

1

5.001 m^{3}

2

4.8 \times 10^{- 3} m^{3}

3

4.002 \times 10^{- 3} m^{3}

4

1.002 \times 10^{- 2} m^{3}

Explanation:

$V_{t} = V_{0} (1 + γ Δ T) \Rightarrow V_{0} = 4 \times 10^{3} m^{3}$
$α = \frac{γ}{3} \Rightarrow γ = 3 α = 3 \times 18 \times 10^{- 6}$
$∴ V_{t} = V_{0} (1 + γ Δ T)$
$\Rightarrow V_{t} = 4 \times 10^{- 3} (1 + 3 \times 18 \times 10^{- 6} \times 10^{2})$
$V = 4 \times 10^{- 3} (1 + 5.4 \times 10^{- 3})$
$V = 4.002 \times 10^{- 3} m^{3}$

PHXI11:THERMAL PROPERTIES OF MATTER

366701 The coefficient of volumetric expansion of lamina is $5 \times 10^{5} /^{\circ} C$ . Its coefficient of linear expansion will be :

1

1.6 \times 10^{- 5} /^{\circ} C

2

1.1 \times 10^{5} /^{\circ} C

3

2 \times 10^{- 6} /^{\circ} C

q

4

3 \times 10 /^{\circ} C

Explanation:

$α = \frac{γ}{3} = \frac{5 \times 10^{- 5}}{3} = 1.6 \times 10^{- 5} /^{\circ} C$

PHXI11:THERMAL PROPERTIES OF MATTER

366702 Two large holes are cut in a metal sheet. If this is heated, distances $A B$ and $B C$ , (as shown)
supporting img

1 both will increase

2 both will decrease

3

A B

increases

B C

decreases

4

A B

decreases,

B C

increases

PHXI11:THERMAL PROPERTIES OF MATTER

366703 A thin copper wire of length $L$ increases in length by one percent when heated from
${t_{1}}^{\circ} C$ and ${t_{2}}^{\circ} C$ . The percentage change in area when a thin copper plate having dimension $2 L \times L$ is heated from ${t_{1}}^{\circ} C$ to ${t_{2}}^{\circ} C$ is

1

1 %

2

3 %

3

2 %

4

4 %

Explanation:

$\frac{Δ l}{l} \times 100 = 1$
$\Rightarrow α (Δ t) = 10^{- 2}$
$\Rightarrow \frac{Δ A}{A} \times 100 = 2 α (Δ t) 100 = 2$

PHXI11:THERMAL PROPERTIES OF MATTER

366699 Assertion :
A solid and hollow sphere of same diameter and same material when heated through the same temperature will expand by the same amount
Reason :
The change in volume is independent of the original mass but depends on original volume.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI11:THERMAL PROPERTIES OF MATTER

366700 The volume of a metal block is $4000 c m^{3}$ at 273 $K$ . What would be its volume at $373 K$ ? (give $α$ of the metal is $18 \times 10^{- 6} K^{- 1}$ )

1

5.001 m^{3}

2

4.8 \times 10^{- 3} m^{3}

3

4.002 \times 10^{- 3} m^{3}

4

1.002 \times 10^{- 2} m^{3}

Explanation:

$V_{t} = V_{0} (1 + γ Δ T) \Rightarrow V_{0} = 4 \times 10^{3} m^{3}$
$α = \frac{γ}{3} \Rightarrow γ = 3 α = 3 \times 18 \times 10^{- 6}$
$∴ V_{t} = V_{0} (1 + γ Δ T)$
$\Rightarrow V_{t} = 4 \times 10^{- 3} (1 + 3 \times 18 \times 10^{- 6} \times 10^{2})$
$V = 4 \times 10^{- 3} (1 + 5.4 \times 10^{- 3})$
$V = 4.002 \times 10^{- 3} m^{3}$

PHXI11:THERMAL PROPERTIES OF MATTER

366701 The coefficient of volumetric expansion of lamina is $5 \times 10^{5} /^{\circ} C$ . Its coefficient of linear expansion will be :

1

1.6 \times 10^{- 5} /^{\circ} C

2

1.1 \times 10^{5} /^{\circ} C

3

2 \times 10^{- 6} /^{\circ} C

q

4

3 \times 10 /^{\circ} C

Explanation:

$α = \frac{γ}{3} = \frac{5 \times 10^{- 5}}{3} = 1.6 \times 10^{- 5} /^{\circ} C$

PHXI11:THERMAL PROPERTIES OF MATTER

366702 Two large holes are cut in a metal sheet. If this is heated, distances $A B$ and $B C$ , (as shown)
supporting img

1 both will increase

2 both will decrease

3

A B

increases

B C

decreases

4

A B

decreases,

B C

increases

PHXI11:THERMAL PROPERTIES OF MATTER

366703 A thin copper wire of length $L$ increases in length by one percent when heated from
${t_{1}}^{\circ} C$ and ${t_{2}}^{\circ} C$ . The percentage change in area when a thin copper plate having dimension $2 L \times L$ is heated from ${t_{1}}^{\circ} C$ to ${t_{2}}^{\circ} C$ is

1

1 %

2

3 %

3

2 %

4

4 %

Explanation:

$\frac{Δ l}{l} \times 100 = 1$
$\Rightarrow α (Δ t) = 10^{- 2}$
$\Rightarrow \frac{Δ A}{A} \times 100 = 2 α (Δ t) 100 = 2$

PHXI11:THERMAL PROPERTIES OF MATTER

366699 Assertion :
A solid and hollow sphere of same diameter and same material when heated through the same temperature will expand by the same amount
Reason :
The change in volume is independent of the original mass but depends on original volume.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI11:THERMAL PROPERTIES OF MATTER

366700 The volume of a metal block is $4000 c m^{3}$ at 273 $K$ . What would be its volume at $373 K$ ? (give $α$ of the metal is $18 \times 10^{- 6} K^{- 1}$ )

1

5.001 m^{3}

2

4.8 \times 10^{- 3} m^{3}

3

4.002 \times 10^{- 3} m^{3}

4

1.002 \times 10^{- 2} m^{3}

Explanation:

$V_{t} = V_{0} (1 + γ Δ T) \Rightarrow V_{0} = 4 \times 10^{3} m^{3}$
$α = \frac{γ}{3} \Rightarrow γ = 3 α = 3 \times 18 \times 10^{- 6}$
$∴ V_{t} = V_{0} (1 + γ Δ T)$
$\Rightarrow V_{t} = 4 \times 10^{- 3} (1 + 3 \times 18 \times 10^{- 6} \times 10^{2})$
$V = 4 \times 10^{- 3} (1 + 5.4 \times 10^{- 3})$
$V = 4.002 \times 10^{- 3} m^{3}$

PHXI11:THERMAL PROPERTIES OF MATTER

366701 The coefficient of volumetric expansion of lamina is $5 \times 10^{5} /^{\circ} C$ . Its coefficient of linear expansion will be :

1

1.6 \times 10^{- 5} /^{\circ} C

2

1.1 \times 10^{5} /^{\circ} C

3

2 \times 10^{- 6} /^{\circ} C

q

4

3 \times 10 /^{\circ} C

Explanation:

$α = \frac{γ}{3} = \frac{5 \times 10^{- 5}}{3} = 1.6 \times 10^{- 5} /^{\circ} C$

PHXI11:THERMAL PROPERTIES OF MATTER

366702 Two large holes are cut in a metal sheet. If this is heated, distances $A B$ and $B C$ , (as shown)
supporting img

1 both will increase

2 both will decrease

3

A B

increases

B C

decreases

4

A B

decreases,

B C

increases

PHXI11:THERMAL PROPERTIES OF MATTER

366703 A thin copper wire of length $L$ increases in length by one percent when heated from
${t_{1}}^{\circ} C$ and ${t_{2}}^{\circ} C$ . The percentage change in area when a thin copper plate having dimension $2 L \times L$ is heated from ${t_{1}}^{\circ} C$ to ${t_{2}}^{\circ} C$ is

1

1 %

2

3 %

3

2 %

4

4 %

Explanation:

$\frac{Δ l}{l} \times 100 = 1$
$\Rightarrow α (Δ t) = 10^{- 2}$
$\Rightarrow \frac{Δ A}{A} \times 100 = 2 α (Δ t) 100 = 2$

PHXI11:THERMAL PROPERTIES OF MATTER

366699 Assertion :
A solid and hollow sphere of same diameter and same material when heated through the same temperature will expand by the same amount
Reason :
The change in volume is independent of the original mass but depends on original volume.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI11:THERMAL PROPERTIES OF MATTER

366700 The volume of a metal block is $4000 c m^{3}$ at 273 $K$ . What would be its volume at $373 K$ ? (give $α$ of the metal is $18 \times 10^{- 6} K^{- 1}$ )

1

5.001 m^{3}

2

4.8 \times 10^{- 3} m^{3}

3

4.002 \times 10^{- 3} m^{3}

4

1.002 \times 10^{- 2} m^{3}

Explanation:

$V_{t} = V_{0} (1 + γ Δ T) \Rightarrow V_{0} = 4 \times 10^{3} m^{3}$
$α = \frac{γ}{3} \Rightarrow γ = 3 α = 3 \times 18 \times 10^{- 6}$
$∴ V_{t} = V_{0} (1 + γ Δ T)$
$\Rightarrow V_{t} = 4 \times 10^{- 3} (1 + 3 \times 18 \times 10^{- 6} \times 10^{2})$
$V = 4 \times 10^{- 3} (1 + 5.4 \times 10^{- 3})$
$V = 4.002 \times 10^{- 3} m^{3}$

PHXI11:THERMAL PROPERTIES OF MATTER

366701 The coefficient of volumetric expansion of lamina is $5 \times 10^{5} /^{\circ} C$ . Its coefficient of linear expansion will be :

1

1.6 \times 10^{- 5} /^{\circ} C

2

1.1 \times 10^{5} /^{\circ} C

3

2 \times 10^{- 6} /^{\circ} C

q

4

3 \times 10 /^{\circ} C

Explanation:

$α = \frac{γ}{3} = \frac{5 \times 10^{- 5}}{3} = 1.6 \times 10^{- 5} /^{\circ} C$

PHXI11:THERMAL PROPERTIES OF MATTER

366702 Two large holes are cut in a metal sheet. If this is heated, distances $A B$ and $B C$ , (as shown)
supporting img

1 both will increase

2 both will decrease

3

A B

increases

B C

decreases

4

A B

decreases,

B C

increases

PHXI11:THERMAL PROPERTIES OF MATTER

366703 A thin copper wire of length $L$ increases in length by one percent when heated from
${t_{1}}^{\circ} C$ and ${t_{2}}^{\circ} C$ . The percentage change in area when a thin copper plate having dimension $2 L \times L$ is heated from ${t_{1}}^{\circ} C$ to ${t_{2}}^{\circ} C$ is

1

1 %

2

3 %

3

2 %

4

4 %

Explanation:

$\frac{Δ l}{l} \times 100 = 1$
$\Rightarrow α (Δ t) = 10^{- 2}$
$\Rightarrow \frac{Δ A}{A} \times 100 = 2 α (Δ t) 100 = 2$

PHXI11:THERMAL PROPERTIES OF MATTER

366699 Assertion :
A solid and hollow sphere of same diameter and same material when heated through the same temperature will expand by the same amount
Reason :
The change in volume is independent of the original mass but depends on original volume.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but reason is correct.

PHXI11:THERMAL PROPERTIES OF MATTER

366700 The volume of a metal block is $4000 c m^{3}$ at 273 $K$ . What would be its volume at $373 K$ ? (give $α$ of the metal is $18 \times 10^{- 6} K^{- 1}$ )

1

5.001 m^{3}

2

4.8 \times 10^{- 3} m^{3}

3

4.002 \times 10^{- 3} m^{3}

4

1.002 \times 10^{- 2} m^{3}

Explanation:

$V_{t} = V_{0} (1 + γ Δ T) \Rightarrow V_{0} = 4 \times 10^{3} m^{3}$
$α = \frac{γ}{3} \Rightarrow γ = 3 α = 3 \times 18 \times 10^{- 6}$
$∴ V_{t} = V_{0} (1 + γ Δ T)$
$\Rightarrow V_{t} = 4 \times 10^{- 3} (1 + 3 \times 18 \times 10^{- 6} \times 10^{2})$
$V = 4 \times 10^{- 3} (1 + 5.4 \times 10^{- 3})$
$V = 4.002 \times 10^{- 3} m^{3}$

PHXI11:THERMAL PROPERTIES OF MATTER

366701 The coefficient of volumetric expansion of lamina is $5 \times 10^{5} /^{\circ} C$ . Its coefficient of linear expansion will be :

1

1.6 \times 10^{- 5} /^{\circ} C

2

1.1 \times 10^{5} /^{\circ} C

3

2 \times 10^{- 6} /^{\circ} C

q

4

3 \times 10 /^{\circ} C

Explanation:

$α = \frac{γ}{3} = \frac{5 \times 10^{- 5}}{3} = 1.6 \times 10^{- 5} /^{\circ} C$

PHXI11:THERMAL PROPERTIES OF MATTER

366702 Two large holes are cut in a metal sheet. If this is heated, distances $A B$ and $B C$ , (as shown)
supporting img

1 both will increase

2 both will decrease

3

A B

increases

B C

decreases

4

A B

decreases,

B C

increases

PHXI11:THERMAL PROPERTIES OF MATTER

366703 A thin copper wire of length $L$ increases in length by one percent when heated from
${t_{1}}^{\circ} C$ and ${t_{2}}^{\circ} C$ . The percentage change in area when a thin copper plate having dimension $2 L \times L$ is heated from ${t_{1}}^{\circ} C$ to ${t_{2}}^{\circ} C$ is

1

1 %

2

3 %

3

2 %

4

4 %

Explanation:

$\frac{Δ l}{l} \times 100 = 1$
$\Rightarrow α (Δ t) = 10^{- 2}$
$\Rightarrow \frac{Δ A}{A} \times 100 = 2 α (Δ t) 100 = 2$

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