1
WB JEE 2024
+1
-0.25

The internal energy of a thermodynamic system is given by $$U=a s^{4 / 3} V^\alpha$$ where $$\mathrm{s}$$ is entropy, $$\mathrm{V}$$ is volume and '$$\mathrm{a}$$' and '$$\alpha$$' are constants. The value of $$\alpha$$ is

A
1
B
$$-$$1
C
$$\frac{1}{3}$$
D
$$-\frac{1}{3}$$
2
WB JEE 2023
+1
-0.25

Six molecules of an ideal gas have velocities 1, 3, 5, 5, 6 and 5 m/s respectively. At any given temperature, if $$\mathrm{\overline V}$$ and $$\mathrm{V_{rms}}$$ represent average and rms speed of the molecules, then

A
$$\mathrm{\overline V = 5}$$ m/s
B
$$\mathrm{{V_{rms}} > \overline V}$$
C
$$\mathrm{V_{rms}^2 < {\overline V ^2}}$$
D
$$\mathrm{{V_{rms}} = \overline V}$$
3
WB JEE 2023
+1
-0.25

A given quantity of gas is taken from A to C in two ways; a) directly from A $$\to$$ C along a straight line and b) in two steps, from A $$\to$$ B and then from B $$\to$$ C. Work done and heat absorbed along the direct path A $$\to$$ C is 200 J and 280 J respectively.

If the work done along A $$\to$$ B $$\to$$ C is 80 J, then heat absorbed along this path is,

A
80 J
B
0
C
160 J
D
120 J
4
WB JEE 2023
+1
-0.25

Two substances A and B of same mass are heated at constant rate. The variation of temperature $$\theta$$ of the substances with time t is shown in the figure. Choose the correct statement.

A
Specific heat of A is greater than that of B.
B
Specific heat of B is greater than that of A.
C
Both have same specific heat.
D
None of the above is true.
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