Types of Expansion in Solids

Q. At ${15}^{\circ }C$ the height of Eifel tower is $324m$. If it is made of iron, what will be the increase in length in cm, at ${30}^{\circ }C$? ( Take coefficient of linear expansion of Iron as $11.5\times {10}^{-6}{}^{\circ }{C}^{-1})$

1. $5.6cm$
2. $12.2cm$
3. $8.4cm$
4. $2.4cm$

Q.

A bridge is made from $20m$ long iron rods. At temperature ${18}^{\circ }C$, the distance between two rods is $0.4cm$. Up to what temperature will the bridge be in good shape?

(Take coefficient of Linear expansion of iron is $11.5\times {10}^{-6}{}^{\circ }C$)

1. ${35.4}^{\circ }C$
2. ${15.7}^{\circ }C$
3. ${55.2}^{\circ }C$
4. ${25.4}^{\circ }C$

Q.

If a bimetallic strip is heated it will

1. Bend towards the metal with higher thermal expansion

2. Not bend at all

3. Twist itself into a helix

4. Bend towards the metal with lower thermal expansion

Q. What will be the increase in length of a steel rod of length $0.5m$, when its temperature is increased by ${60}^{\circ }C$? The coefficient of linear expansion of steel is $0.000013{}^{\circ }{C}^{-1}$.

1. $0.019cm$
2. $0.045cm$
3. $0.015cm$
4. $0.039cm$

Q.

What is the percentage change in length of $1m$ iron rod if the temperature change by ${100}^{\circ }C$ (Assume coefficient of linear expansion, $\alpha =2\times {10}^{-5}{}^{\circ }{C}^{-1}$)

1. $0.1\%$

2. $0.2\%$

3. $0.3\%$

4. $0.4\%$

Q. On heating a rod, its length increases. On what factors does the increase in the length depend on?

1. The material of the rod
2. The initial length of the rod
3. The rise in the rod's temperature
4. The cross sectional area of the rod

Q. During summer, electrical wires sag due to _______.

1. thermal expansion of solids
2. thermal expansion of liquids
3. thermal expansion of gases
4. anomalous expansion

Q. Read the given statements and select the correct option.
Statement 1: The size of a hydrogen balloon increases as it rises in air.
Statement 2: The material from which the balloon is made can be easily stretched.

Q. A circular metal disc of diameter $5cm$ is heated by $500{}^{\circ }C$. If the coefficient of linear expansion of metal is $1.8\times {10}^{-5}{}^{\circ }{C}^{-1}$, what will be its final diameter?

1. 4.945 cm

2. 5.001 cm

3. 5.045 cm

4. 5.450 cm

Q. A concrete railroad tie has a length $2.45m$ on a hot sunny day having temperature $35{}^{\circ }C$. What is the length of the railroad tie in the winter when the temperature dips to $-25{}^{\circ }C$? (Take the coefficient of linear expension of railroad as $12\times {10}^{-5}/{}^{\circ }C$)

1. $1.8\times {10}^{-3}m$
2. $1.2\times {10}^{-3}m$
3. $1.5\times {10}^{-3}m$
4. $2.4\times {10}^{-3}m$

Q.

The density of a substance at ${20}^{\circ }C$ and ${120}^{\circ }C$ are $1.1gc.c^{-1}$ and $1gc.c^{-1}$ respecttively. Find the coefficient of cubical expansion of the solid.

1. $0.001{/}^{\circ }C$

2. $0.002{/}^{\circ }C$

3. $0.004{/}^{\circ }C$

4. $0.003{/}^{\circ }C$

Q.

What happens to the shape of a tin can filled with hot air when it is kept in a refrigerator?

1. Pressure inside the can is less than that outside, so it shrinks.

2. Pressure inside the can is more than that outside, so it shrinks.

3. Pressure outside the can is same as that inside, so the shape remains the same.

4. Pressure inside the can is equal to the atmospheric pressure - final shape depends on the atmospheric pressure.

Q. The thermal expansion of a solid bar depends on its______.

1. \N

2. the temerature change only.

3. depends on original length only.

4. the thermal properties of metal only.

Q.

Which among the following factors does not influence the increase in volume of solids?

1. The constant temperature

2. The final temperature

3. The final volume of solid

4. The initial volume of solid

Q. Two rods A and B of the same metal, but of length $1\text{m}$ and $2\text{m}$ respectively, are heated from $0{}^{\circ }\text{C}$ to $100{}^{\circ }\text{C}$. Then, ___.

1. both A and B elongate the same.
2. A elongates more than B.
3. B elongates more than A.
4. A elongates, but B contracts.

Q. Small gaps are left between cemented roads to avoid damage due to:

1. thermal expansion of gases
2. thermal expansion of liquids
3. anomalous expansion
4. thermal expansion of solids

Q. In the case of expansion of solids, match the type of expansions with the effects.

1. change in length
2. change in volume
3. change in area

Q. Read the given statements and select the correct option.
Statement 1: The size of a hydrogen balloon increases as it rises in air.
Statement 2: The material from which the balloon is made can be easily stretched.

1. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
2. Statement 1 is true and statement 2 is false.
3. Both statement 1 and 2 are false.
4. Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.