Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20243 May 2024Morning ShiftPhysicsGravitationActual

The distance of the two planets A and B from the sun are r_A and r_B respectively. Also r_B is equal to 100 r_A . If the orbital speed of the planet A is ' v ' then the orbital speed of the planet B is

Options

  1. Av 10
  2. Bv 2 .
  3. C2 v
  4. D10 v

Correct answer

A. v 10

Step-by-step solution

Orbital or Critical velocity v_ orb = GM R From the data given, v _ orb _ A = GM r _ A ...(i) and v _ orb _ B = GM r _ B = GM 100 r _ A = 1 10 GM r _ A Dividing equation (i) by (ii) aligned & v_ orb _A v_ orb _B = G M r_A 10 r_A G M & v_ orb _B = v_ orb _A 10 = v 10 ( given _ orb _A = v ) aligned

Practice Gravitation on Quantrex Academy →

More from Gravitation

Two particles, one heavy and the other light, placed at 50 cm from each other, are under the influence of gravitational force of one another. If mass of the heavier particle is 4 k 2026Two neutral bodies of masses m₁ and m₂ are kept at a distance of r cm from one another in a vacuum medium. A gravitational force F_v acts between the two bodies. The entire set-up 2026A body is projected vertically upwards from the surface of earth with a velocity 'v' to reach a height of 10R, where R is the radius of the earth, then v is 2026Two spheres of masses M₁ and M₂ are in air separated by a distance of d m. The gravitational force of attraction between them is F. If the space around the masses is filled with a 2026A planet is revolving in a circular orbit with a time period T around the center of a star solely under the gravity of the star. Suppose the distance between the star and the plane 2026Imagine a new planet having the same density as that of the earth, but it is two times bigger than the earth in size. If the acceleration due to gravity on the surface of the earth 2026Suppose the acceleration due to gravity at the earth's surface is g m/s ^2 and at the surface of moon it is g' m/s ^2 . An M kg passenger goes from the earth to the moon in a space 2026The escape velocity of a body from a planet of mass M and radius R is 14 ~km ~s ⁻¹ . The escape velocity of the body from another planet having same mass and diameter 8 R (in km s 2025 Full Gravitation list All MHT CET PYQs