1
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A travelling wave is described by the equation

$$y(x,t) = [0.05\sin (8x - 4t)]$$ m

The velocity of the wave is : [all the quantities are in SI unit]

A
$$\mathrm{4~ms^{-1}}$$
B
$$\mathrm{2~ms^{-1}}$$
C
$$\mathrm{8~ms^{-1}}$$
D
$$\mathrm{0.5~ms^{-1}}$$
2
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is :

A
136 m
B
272 m
C
68 m
D
192 m
3
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements :

Statement I : The temperature of a gas is $$-73^\circ$$C. When the gas is heated to $$527^\circ$$C, the root mean square speed of the molecules is doubled.

Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.

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

A
Statement I is true but Statement II is false
B
Both Statement I and Statement II are true
C
Statement I is false but Statement II is true
D
Both Statement I and Statement II are false
4
JEE Main 2023 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Match List I with List II

List-I
List-II
A. Planck's constant (h) I. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 2}}]}$$
B. Stopping potential (Vs) II. $$\mathrm{[{M^1}\,{L^1}\,{T^{ - 1}}]}$$
C. Work function ($$\phi$$) III. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 1}}]}$$
D. Momentum (p) IV. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 3}}\,{A^{ - 1}}]}$$

Choose the correct answer from the options given below :

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