1
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1

A vessel contains $$14 \mathrm{~g}$$ of nitrogen gas at a temperature of $$27^{\circ} \mathrm{C}$$. The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be :

Take $$\mathrm{R}=8.32 \mathrm{~J} \mathrm{~mol}^{-1} \,\mathrm{k}^{-1}$$.

A
2229 J
B
5616 J
C
9360 J
D
13,104 J
2
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1

Sun light falls normally on a surface of area $$36 \mathrm{~cm}^{2}$$ and exerts an average force of $$7.2 \times 10^{-9} \mathrm{~N}$$ within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is

A
$$25.92 \times 10^{2} \mathrm{~W} / \mathrm{cm}^{2}$$
B
$$8.64 \times 10^{-6} \mathrm{~W} / \mathrm{cm}^{2}$$
C
$$6.0 \mathrm{~W} / \mathrm{cm}^{2}$$
D
$$0.06\mathrm{~W} / \mathrm{cm}^{2}$$
3
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

A Carnot engine has efficiency of $$50 \%$$. If the temperature of sink is reduced by $$40^{\circ} \mathrm{C}$$, its efficiency increases by $$30 \%$$. The temperature of the source will be:

A
166.7 K
B
255.1 K
C
266.7 K
D
367.7 K
4
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

Given below are two statements :

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II : The rms speed of oxygen molecules in a gas is $$v$$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $$2 v$$.

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

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is true but Statement II is false
D
Statement I is false but Statement II is true
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination