JEE Main 2026 · 4 Apr 2026 Shift 2

Two cars A and B are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that car A is moving ahead of car B. A person in car B throws a stone with a speed v so that it hits the car A with a speed of 5 m/s. The value of v is ________ km/h.

1. A18
2. B28
3. C38
4. D48

At t = 0, a body of mass 100 g starts moving under the influence of a force (5î + 10ĵ) N. After 2 s its position is (2xî + 5yĵ) m. The ratio x : y is ________.

1. A1 : 2
2. B2 : 5
3. C5 : 2
4. D5 : 4

If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t − 4.9t², respectively, then the angle (in degrees) made by the projectile with horizontal when t = 2 s is ________.

1. A60
2. B45
3. C30
4. D75

The height in terms of radius of the earth (R), at which the acceleration due to gravity becomes g/9, where g is acceleration due to gravity on earth's surface, is ________.

1. A√3R
2. B2√2R
3. C2R
4. D4/9 R

A metal string A is suspended from a rigid support and its free end is attached to a block of mass M. Second block having mass 2M is suspended at the bottom of the first block using a string B. The area of cross sections of strings A and B are same. The ratio of lengths of strings of A to B is 2 and the ratio of their Young's moduli (Yₐ/Yᵦ) is 0.5. The ratio of elongations in A to B is ________.

1. A1
2. B4
3. C8
4. D6

A water spray gun is attached to a hose of cross sectional area 30 cm². The gun comprises of 10 perforations each of cross sectional area of 15 mm². If the water flows in the hose with the speed of 50 cm/s, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)

1. A100 m/s
2. B10 m/s
3. C1000 m/s
4. D15 × 10² m/s

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If the average kinetic energy of H₂ and O₂ molecules, kept in two different sized containers are same, then their temperatures will be same. Reason R: The r.m.s. speed of H₂ and O₂ molecules are same at same temperature. Choose the correct answer from the options given below

1. ABoth A and R are true and R is the correct explanation of A
2. BBoth A and R are true but R is NOT the correct explanation of A
3. CA is true but R is false
4. DA is false but R is true

The temperature of a metal strip having coefficient of linear expansion α is increased from T₁ to T₂ resulting in increase of its length by ΔL₁. The temperature is further increased from T₂ to T₃ such that the increase in its length is ΔL₂. Given T₃ + T₁ = 2T₂ and T₂ − T₁ = ΔT, the value of ΔL₂ is ________.

1. AΔL₁[1 + 2α²(ΔT)²]
2. BΔL₁[1 + α²(ΔT)²]
3. CΔL₁[1 + 2αΔT]
4. DΔL₁[1 + αΔT]