1. Question

A brass rod is 2 m long at a certain temperature. What is the length for a temperature rise of 100 K. If the expansitivity of brass is 18 × 10^-6K^-1

2.0036 m
2.0018 m
2.1800 m
2.0360 m
2.0077 m

2. Question

A bridge made of steel is 600 m long. What is the daily variation in its length if the night-time and day-time temperature are 10° C and 35° C respectively? The linear expansivity of steel is 0.0000120 C^-1.

0.18 m
0.16 m
0.72 m
0.66 m
0.2 m

3. Question

A metal rod of length 100 cm, is heated through 100° C, calculate the change in length of the rod. (Linear expansivity (α) of the material of the rod is 3 × 10^-5K^-1)

0.7 cm
0.5 cm
0.3 cm
0.1 cm
0.04 cm

4. Question

A metal rod of length 40.00 cm at 20° C is heated to a temperature of 45° C. If the new length of the rod is 40.05 cm. Calculate its linear expansivity.

5 × 10 ^-4K^-1
4 × 10^-5K^-1
5 × 10^-5K^-1
3 × 10^-5K^-1
4 × 10^-4K^-1

5. Question

A piece of brass of mass 170 kg has its temperature raised from 0° C to 30° C. Calculate its increase in volume, given the density of brass of 0° C as 8.5 × 10³kgm^-3 and its cubic expansitivity as 5.7 × 10^-5K^-1

4.51 × 10^-5m³
7.31 × 10^-5m³
3.42 × 10^-5m³
6.22 × 10^-5m³
2.52 × 10^-5m³

6. Question

A rectangular metal block of volume 10^-6m³ at 273 K is heated to 573 K. If its coefficient of linear expansion is 1.2 × 10^-5K^-1, the percentage change of its volume is?

6.2%
1.1%
1.9%
3.4%
5.3%

7. Question

A solid metal cube of side 10 cm, is heated from 10° C to 60° C. If the linear expansivity of the metal is 1.2 × 10^-5K^-1, calculate the increase in its volume.

1.6 cm³
1.8 cm³
1.5 cm³
2.9 cm³
4.3 cm³

8. Question

The ratio of the coefficient of linear expansion of two metals is 3:4. If, when heated through the same temperature change, the ratio of the increase in lengths of the two metals is 1:2, the ratio of the original length \( \frac {ℓ_1}{ℓ_2} \) is

\( \frac{2}{3} \)
\( \frac{1}{2} \)
\( \frac{1}{3} \)
\( \frac{2}{5} \)
\( \frac{2}{1} \)

9. Question

A metal cube of linear expansivity, α, is heated through a temperature rise of θ. If the initial volume of the cube is V_0,the correct expression for the increase in volume of the cube is

\( \frac{1}{3} \scriptsize \alpha V_0 \theta \)
\(\scriptsize 3 \alpha V_0 \theta \)
\(\scriptsize 2 \alpha V_0 \theta \)
\( \frac{1}{2} \scriptsize \alpha V_0 \theta \)
\(\scriptsize 7 \alpha V_0 \theta \)

10. Question

The linear expansivity of a metal P is twice that of another metal Q. When these materials are heated through the same temperature change, their increase in length is the same. Calculate the ratio of the original length of P to that of Q

1 : 3
1 : 2
2 : 3
3 : 2
2 : 2

11. Question

Which of the following does not affect an application of expansion in metals?

Bimetallic strip thermometer
Temperature control in an electric iron
Compensated balance wheel of watch
Sagging of telegraph wires

12. Question

A rectangular piece of iron measuring 4 cm by 3 cm at 20°C is heated until its temperature increases by 100°C. Calculate the new area of the metal.

[Linear expansivity of iron is 1.2 × 10^-5K^-1]

12.0144 cm²
12.0346 cm²
12.0288 cm²
12.0173 cm²

13. Question

An aluminium rod of length 1.8 m at 10°C is heated to proceed to produce a difference in length of 0.007 m. Calculate the temperature to which it is heated. (Linear expansivity of aluminium = 2.3 × 10^-5K^-1)

155ºC
160ºC
169ºC
179ºC

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