Consider a rectangular sheet of solid materaial of length = 9 cm and with d = 4 cm. The coefficient of linear expansion is at room temperature and one atmospheric pressure. The mass of sheet m = 0.1 kg and the specific heat capacity . If the amount of h

Question

Consider a rectangular sheet of solid material of length $l$ = 9 cm and width d = 4 cm. The coefficient of linear expansion is $α = 3.1 \times 10^{- 5} K^{- 1}$ at room temperature and one atmospheric pressure. The mass of sheet m = 0.1 kg and the specific heat capacity $C_{v} = 900 J {kg}^{- 1} K^{- 1}$ . If the amount of heat supplied to the material is $8.1 \times 10^{2} J$ then change in area of the rectangular sheet is: [2025]

Smart Achievers · Accepted Answer

(1)

$Q = m c △ T$

$8.1 \times 10^{2} = 900 \times 0.1 \times △ T \Rightarrow △ T = 9 K$

$△ A = A \cdot 2 α △ T$

$= 36 \times 2 \times 3.1 \times 10^{- 5} \times 9 \times 10^{- 4} = 2 \times 10^{- 6} m^{2}$

Solution

1 $2.0 \times 10^{- 6} m^{2}$

2 $3.0 \times 10^{- 7} m^{2}$

3 $6.0 \times 10^{- 7} m^{2}$

4 $4.0 \times 10^{- 7} m^{2}$

Ans.
(1)

$Q = m c △ T$

$8.1 \times 10^{2} = 900 \times 0.1 \times △ T \Rightarrow △ T = 9 K$

$△ A = A \cdot 2 α △ T$

$= 36 \times 2 \times 3.1 \times 10^{- 5} \times 9 \times 10^{- 4} = 2 \times 10^{- 6} m^{2}$

Want Us to Email you About Special Offers & Updates?

Solution

1 2.0×10–6 m2

2 3.0×10–7 m2

3 6.0×10–7 m2

4 4.0×10–7 m2