JEE Main 2023 · 10 Apr 2023 Shift 1

A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is x = A/2 and it moves along positive x-axis. The displacement of particle in time t is x = A sin (ωt + δ), then the value δ will be

1. Aπ/2
2. Bπ/3
3. Cπ/4
4. Dπ/6

Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to 1/8 of its original volume while the gas in B is compressed adiabatically to 1/8 of its original volume. The ratio of final pressure of gas in B to that of gas in A is

1. A8^(3/2)
2. B4
3. C8
4. D1/8

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is

1. A1 : 1
2. B√3 : 1
3. C9 : 1
4. D3 : 1

A physical quantity P is given as P = a²b³/(c√d). The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

1. A12%
2. B14%
3. C16%
4. D13%

Given below are two statements: Statement I : Pressure in a reservoir of water is same at all points at the same level of water. Statement II : The pressure applied to enclosed water is transmitted in all directions equally. 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

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth d = R/2 from the surface of earth, if its weight on the surface of earth is 200 N, will be : (Given R = radius of earth)

1. A300 N
2. B500 N
3. C400 N
4. D100 N

The range of the projectile projected at an angle of 15° with horizontal is 50 m. If the projectile is projected with same velocity at an angle of 45° with horizontal, then its range will be

1. A50 m
2. B50√2 m
3. C100 m
4. D100√2 m

A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity

1. Av
2. Bv/2
3. Cv/3
4. Dv/4