Gravitation – JEE Main 2026 Quiz

Q1. A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc. A particle of mass m is placed at the centre of the arc. The gravitational force on the particle due to the wire is:

Q2. If G is the universal gravitational constant and u is the energy density, then √(uG) has the same dimensions as:

Q3. The acceleration due to gravity at a height h above the surface of the earth (h ≪ R, where R is the radius of the earth) is given by:

Q4. A light planet revolves around a massive star in a circular orbit of radius R with a time period T. If the force of attraction between the planet and the star is proportional to R^−3/2, then which of the following relations is correct?

Q5. A simple pendulum is placed at a point where its distance from the earth’s surface is equal to the radius of the earth. If the length of the pendulum is 4 m and g = π² m/s², then the time period of small oscillations is _____ seconds.

Q6. Two identical particles each of mass m revolve in a circular orbit of radius a under the action of their mutual gravitational attraction. The angular speed of each particle is:

Q7. A satellite of mass 1000 kg revolves around the earth in a circular orbit at a height of 270 km above the earth’s surface. The kinetic energy of the satellite in this orbit is _____ × 10¹⁰ J.

Q8. A spaceship is moving in a circular orbit very close to the earth’s surface. The additional velocity required to overcome the gravitational pull of the earth is:

Q9. If the radius of the earth is reduced to three-fourth of its present value without any change in its mass, then the duration of a day becomes _____ hours 30 minutes.

Q10. An object is kept at rest at a distance of 3R above the earth’s surface, where R is the radius of the earth. The minimum speed with which it must be projected so that it does not return to the earth is: