1
JEE Main 2022 (Online) 25th June Evening Shift
+4
-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).

A
2.4 $$\times$$ 106 cm3
B
1.2 $$\times$$ 105 cm3
C
6.0 $$\times$$ 104 cm3
D
4.8 $$\times$$ 105 cm3
2
JEE Main 2022 (Online) 25th June Evening Shift
+4
-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]

A
1.5 kg
B
5.8 kg
C
2.9 kg
D
3.8 kg
3
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

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

A
$$\left( {1 + {f \over 3}} \right)$$
B
$$\left( {1 + {2 \over f}} \right)$$
C
$$\left( {1 + {f \over 2}} \right)$$
D
$$\left( {1 + {1 \over f}} \right)$$
4
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :

A
$${v_{rms}} = \sqrt {{2 \over 3}} {v_p}$$
B
$${v_{rms}} = \sqrt {{3 \over 2}} {v_p}$$
C
$${v_{rms}} = {v_p}$$
D
$${v_{rms}} = \sqrt {{1 \over 3}} {v_p}$$
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