JEE Main 2024 · 29 Jan 2024 Shift 1

The resistance R = V/I where V = (200 ± 5) V and I = (20 ± 0.2) A, the percentage error in the measurement of R is :

1. A7%
2. B3%
3. C3.5%
4. D5.5%

A body starts moving from rest with constant acceleration covers displacement S₁ in first (p − 1) seconds and S₂ in first p seconds. The displacement S₁ + S₂ will be made in time :

1. A√(2p² − 2p + 1) s
2. B(2p − 1) s
3. C(2p + 1) s
4. D(2p² − 2p + 1) s

If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their velocities will be in the ratio of :

1. A√3 : 1
2. B1 : √3
3. C√3 : 2
4. D2 : √3

A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4, then the work done against friction (in J) is :

1. A4000
2. B4500
3. C4200
4. D3900

The potential energy function (in J) of a particle in a region of space is given as U = (2x² + 3y³ + 2z). Here x, y and z are in meter. The magnitude of x - component of force (in N) acting on the particle at point P (1, 2, 3) m is :

1. A2
2. B4
3. C6
4. D8

At what distance above and below the surface of the earth a body will have same weight. (take radius of earth as R.)

1. AR/2
2. B√5 R − R
3. C(√5 R − R)/2
4. D(√3 R − R)/2

Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water. Statement II : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water. In the light of the above statements, choose the most appropriate 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

Two vessels A and B are of the same size and are at same temperature. A contains 1g of hydrogen and B contains 1g of oxygen. Pₐ and Pᵦ are the pressures of the gases in A and B respectively, then Pₐ/Pᵦ is :

1. A4
2. B16
3. C32
4. D8