JEE Main 2025 (Online) 7th April Morning Shift | Heat and Thermodynamics Question 6 | Physics

1

JEE Main 2025 (Online) 7th April Morning Shift

MCQ (Single Correct Answer)

+4

-1

Match the List I with List II

	List - I		List - II
(A)	Triatomic rigid gas	(I)	$\frac{C_p}{C_v}=\frac{5}{3}$
(B)	Diatomic non-rigid gas	(II)	$\frac{C_p}{C_v}=\frac{7}{5}$
(C)	Monoatomic gas	(III)	$\frac{C_p}{C_v}=\frac{4}{3}$
(D)	Diatomic rigid gas	(IV)	$\frac{C_p}{C_v}=\frac{9}{7}$

Choose the correct answer from the options given below:

A

A-III, B-IV, C-I, D-II

B

A-II, B-IV, C-I, D-III

C

A-IV, B-II, C-III, D-I

D

A-III, B-II, C-IV, D-I

2

JEE Main 2025 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

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

A

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

B

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

C

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

D

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

3

JEE Main 2025 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K . If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K , at steady state the pressure in the vessels will be (in kPa ).

A

24

B

4.4

C

18

D

6

4

JEE Main 2025 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

+4

-1

Match List - I with List - II.

	List - I		List - II
(A)	Isobaric	(I)	$\Delta Q=\Delta W$
(B)	Isochoric	(II)	$\Delta Q=\Delta U$
(C)	Adiabatic	(III)	$\Delta Q=$ zero
(D)	Isothermal	(IV)	$\Delta Q=\Delta U+P\Delta V$

$\Delta Q=$ Heat supplied

$\Delta W=$ Work done by the system

$\Delta \mathrm{U}=$ Change in internal energy

$\mathrm{P}=$ Pressure of the system

$\Delta \mathrm{V}=$ Change in volume of the system

Choose the correct answer from the options given below :

A

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

B

(A)-(IV), (B)-(II), (C)-(III), (D)-(I)

C

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

D

(A)-(II), (B)-(IV), (C)-(III), (D)-(I)