JEE Main 2022 (Online) 26th June Morning Shift | Heat and Thermodynamics Question 145 | Physics

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by :

(R = universal gas constant)

$${{M{v^2}} \over {7R}}$$

$${{M{v^2}} \over {5R}}$$

2$${{M{v^2}} \over {7R}}$$

7$${{M{v^2}} \over {5R}}$$

JEE Main 2022 (Online) 25th June Evening Shift

MCQ (Single Correct Answer)

-1

A solid metallic cube having total surface area 24 m² is uniformly heated. If its temperature is increased by 10$$^\circ$$C, calculate the increase in volume of the cube. (Given $$\alpha$$ = 5.0 $$\times$$ 10^$$-$$4 $$^\circ$$C^$$-$$1).

2.4 $$\times$$ 10⁶ cm³

1.2 $$\times$$ 10⁵ cm³

6.0 $$\times$$ 10⁴ cm³

4.8 $$\times$$ 10⁵ cm³

JEE Main 2022 (Online) 25th June Evening Shift

MCQ (Single Correct Answer)

-1

A copper block of mass 5.0 kg is heated to a temperature of 500$$^\circ$$C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : 0.39 J g^$$-$$1 $$^\circ$$C^$$-$$1 and latent heat of fusion of water : 335 J g^$$-$$1]

1.5 kg

5.8 kg

2.9 kg

3.8 kg

JEE Main 2022 (Online) 25th June Evening Shift

MCQ (Single Correct Answer)

-1

The ratio of specific heats $$\left( {{{{C_P}} \over {{C_V}}}} \right)$$ in terms of degree of freedom (f) is given by :

$$\left( {1 + {f \over 3}} \right)$$

$$\left( {1 + {2 \over f}} \right)$$

$$\left( {1 + {f \over 2}} \right)$$

$$\left( {1 + {1 \over f}} \right)$$