JEE Main 2024 · 5 Apr 2024 Shift 1

If G be the gravitational constant and u be the energy density then which of the following quantity have the dimensions as that of the √uG:

1. AForce per unit mass
2. BGravitational potential
3. CEnergy per unit mass
4. Dpressure gradient per unit mass

The angle between vector Q⃗ and the resultant of (2Q⃗ + 2P⃗) and (2Q⃗ − 2P⃗) is:

1. Atan⁻¹(2Q/P)
2. Btan⁻¹(P/Q)
3. Ctan⁻¹((2Q⃗ − 2P⃗)/(2Q⃗ + 2P⃗))
4. D0°

A wooden block of mass 5 kg rests on a soft horizontal floor. When an iron cylinder of mass 25 kg is placed on the top of the block, the floor yields and the block and the cylinder together go down with an acceleration of 0.1 ms⁻². The action force of the system on the floor is equal to:

1. A297 N
2. B294 N
3. C291 N
4. D196 N

Given below are two statements: Statement I: When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be 0°. Statement II: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. In the light of the above statement, 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 and Statement II is false
4. DStatement I is false but Statement II is true

If the collision frequency of hydrogen molecules in a closed chamber at 27°C is Z, then the collision frequency of the same system at 127°C is:

1. A2/√3 Z
2. B√3/2 Z
3. C4/3 Z
4. D3/4 Z

A simple pendulum doing small oscillations at a place R height above earth surface has time period of T₁ = 4 s. T₂ would be it's time period if it is brought to a point which is at a height 2R from earth surface. Choose the correct relation [R = radius of earth]:

1. AT₁ = T₂
2. B2T₁ = T₂
3. C3T₁ = 2T₂
4. D2T₁ = 3T₂

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of:

1. A10³⁶
2. B10³⁹
3. C10²⁹
4. D10¹⁹

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero:

1. Aoutside the cable
2. Binside the inner conductor
3. Cinside the outer conductor
4. Din between the two conductors