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Gravitation

JEE Main 2025 (Online) 29th January Evening ShiftNumericalMedium📈 Topic in 8% papers+4
Ques. 1JEE Main 2025, 29 January (Evening Shift)

Two planets, A and B are orbiting a common star in circular orbits of radii RA and RB, respectively, with RB=2RA. The planet B is 4 2 times more massive than planet A. The ratio ( LBLA ) of angular momentum (LB) of planet B to that of planet A (LA) is closest to integer .

Answer

8

Solution

Gravity gives the centripetal force: v= GMr ⇒ L=mvr=m GMr

[figure]

LBLA= mBmA RBRA=4 2 2

∴ =8

Answer: 8

Keep practising — Gravitation

Ques. 2JEE Main 2025, 28 January (Evening Shift)

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be:

  1. 8.4
  2. 11.2
  3. 5.6
  4. 2.8
Ques. 3JEE Main 2025, 24 January (Morning Shift)

A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period of revolution of the second satellite is larger than the first one approximately by

  1. 3%
  2. 2.5%
  3. 4.5%
  4. 9%
Ques. 4JEE Main 2025, 24 January (Evening Shift)

Acceleration due to gravity on the surface of earth is 'g'. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of earth is g.

Ques. 5JEE Main 2025, 23 January (Evening Shift)

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon = 27 days and gravitational attraction between the satellite and the moon is neglected.

  1. 3 days
  2. 27 days
  3. 81 days
  4. 1 day
Ques. 6JEE Main 2025, 23 January (Evening Shift)

A satellite of mass M2 is revolving around earth in a circular orbit at a height of R3 from earth surface. The angular momentum of the satellite is M GMRx. The value of x is , where M and R are the mass and radius of earth, respectively. ( G is the gravitational constant)

Ques. 7JEE Main 2025, 22 January (Morning Shift)

A small point of mass m is placed at a distance 2R from the centre ' O ' of a big uniform solid sphere of mass M and radius R . The gravitational force on ' m ' due to M is F1. A spherical part of radius R/3 is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of M is found to be F2. The value of ratio F1:F2 is [figure]

  1. 11 : 10
  2. 12 : 11
  3. 16 : 9
  4. 12 : 9

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