1
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm ? Both the diameters have been measured at room temperature (27$$^\circ$$C).

(Given : coefficient of linear thermal expansion of gold $$\alpha$$L = 1.4 $$\times$$ 10$$-$$5 K$$-$$1)

A
125.7$$^\circ$$C
B
91.7$$^\circ$$C
C
425.7$$^\circ$$C
D
152.7$$^\circ$$C
2
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the process is purely isothermal, W2, if the process is purely adiabatic and W3 if the process is purely isobaric. Then, choose the correct option

A
W1 < W2 < W3
B
W2 < W3 < W1
C
W3 < W1 < W2
D
W2 < W1 < W3
3
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1

A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :

A
72 $$\times$$ 105
B
32 $$\times$$ 105
C
27 $$\times$$ 104
D
54 $$\times$$ 104
4
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0$$^\circ$$C will be :

(Given gas constant R = 8.3 JK$$-$$1-mol$$-$$1)

A
249 J
B
415 J
C
498 J
D
830 J
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