JEE Main 2024 · 27 Jan 2024 Shift 1

Given below are two statements : Statement (I) : Planck’s constant and angular momentum have same dimensions. Statement (II) : Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the correct answer from the options given below :

1. ABoth Statement I and Statement II are true
2. BBoth Statement I and Statement II are false
3. CStatement I is true but Statement II is false
4. DStatement I is false but Statement II is true

Position of an ant (S in metres) moving in Y-Z plane is given by S = 2t²ĵ + 5k̂ (where t is in second). The magnitude and direction of velocity of the ant at t = 1 s will be:

1. A4 m/s in x-direction
2. B16 m/s in y-direction
3. C4 m/s in y-direction
4. D9 m/s in z-direction

A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is :

1. A6
2. B5
3. C3
4. D2

A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve of radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10 m/s²) :

1. A4.2 cm
2. B4.8 cm
3. C5.4 cm
4. D6.0 cm

Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is :

1. A2 : 5
2. B5 : 4
3. C4 : 5
4. D3 : 5

The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

1. A4 g
2. Bg/4
3. Cg/2
4. D2 g

Given below are two statements : Statement (I) : Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below :

1. ABoth Statement I and Statement II are correct
2. BBoth Statement I and Statement II are incorrect
3. CStatement I is correct but Statement II is incorrect
4. DStatement I is incorrect but Statement II is correct

0.08 kg air is heated at constant volume through 5°C. The specific heat of air at constant volume is 0.17 kcal/kg°C and J = 4.18 joule/cal. The change in its internal energy is approximately.

1. A142 J
2. B284 J
3. C298 J
4. D318 J