1
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

Heat energy of 184 kJ is given to ice of mass 600 g at $$-12^\circ \mathrm{C}$$. Specific heat of ice is $$\mathrm{2222.3~J~kg^{-1^\circ}~C^{-1}}$$ and latent heat of ice in 336 $$\mathrm{kJ/kg^{-1}}$$

A. Final temperature of system will be 0$$^\circ$$C.

B. Final temperature of the system will be greater than 0$$^\circ$$C.

C. The final system will have a mixture of ice and water in the ratio of 5 : 1.

D. The final system will have a mixture of ice and water in the ratio of 1 : 5.

E. The final system will have water only.

Choose the correct answer from the options given below :

A
A and E only
B
B and D only
C
A and C only
D
A and D only
2
JEE Main 2023 (Online) 29th January Evening Shift
+4
-1

At 300 K, the rms speed of oxygen molecules is $$\sqrt {{{\alpha + 5} \over \alpha }}$$ times to that of its average speed in the gas. Then, the value of $$\alpha$$ will be

(used $$\pi = {{22} \over 7}$$)

A
27
B
28
C
24
D
32
3
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: If $$d Q$$ and $$d W$$ represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics $$d Q=d U-d W$$.

Reason R: First law of thermodynamics is based on law of conservation of energy.

In the light of the above statements, choose the correct answer from the options given below:

A
Both A and R are correct but R is not the correct explanation of A
B
Both A and R are correct and R is the correct explanation of A
C
A is correct but R is not correct
D
A is not correct but R is correct
4
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

Match List I with List II

List I List II
A. Isothermal Process I. Work done by the gas decreases internal energy
B. Adiabatic Process II. No change in internal energy
C. Isochoric Process III. The heat absorbed goes partly to increase internal energy and partly to do work
D. Isobaric Process IV. No work is done on or by the gas

Choose the correct answer from the options given below :

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