JEE Main 2026 · 6 Apr 2026 Shift 2

The percentage error in the calculated volume of a sphere, if there is 2% error in its diameter measurement, is ________.

1. A1
2. B2
3. C6
4. D8

Match List - I with List - II. List - I

1. ABoltzmann constant
2. BStefan’s constant
3. CPlanck’s constant
4. DGravitational constant List - II I. [M⁻¹ L³ T⁻²] II. [M L² T⁻¹] III. [M L² T⁻² K⁻¹] IV. [M L⁰ T⁻³ K⁻⁴] Choose the correct answer from the options given below:

A body of mass 1 kg moves along a straight line with a velocity v = 2x². The work done by the body during displacement from x = 0 to 5 m is ________ J.

1. A0
2. B250
3. C1250
4. D1000

A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled in both (left and right) the compartments at same P, V, T. Heating is started from left side until pressure changes to 27P/8. If initial volume of each compartment was 9 litres then the final volume in right-hand side compartment is ________ litres. (for this ideal gas Cₚ/Cᵥ = 1.5)

1. A3
2. B4
3. C14
4. D9

For an electromagnetic wave propagating through vacuum, k⃗, E⃗ and ω represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by:

1. A(E⃗ × k⃗)/ω
2. B(k⃗ × E⃗)/ω
3. Cω (E⃗ × k⃗)
4. Dω (k⃗ × E⃗)

Two identical bodies A and B of equal masses have initial velocities v⃗₁ = 4î m/s and v⃗₂ = 4ĵ m/s respectively. The body A has acceleration a⃗₁ = 6î + 6ĵ m/s² while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in ________ path.

1. Acircular
2. Bparabolic
3. Cstraight line
4. Delliptical

A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm³ (dm : decimeter) The vessel is placed on a solid block of exactly same height as vessel. If a small hole is made at 70 cm below the top of water level, then horizontal range of water falling on the ground in the beginning is ________ cm.

1. A120√2
2. B140√2
3. C140√3
4. D120√3

If 2 mole of an ideal monoatomic gas at temperature T, is mixed with 6 mole of another ideal monoatomic gas at temperature 2T then the temperature of mixture is:

1. A5/2 T
2. B5/4 T
3. C7/2 T
4. D7/4 T