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Gravitation — JEE Main & Advanced NSEP PYQs

14 previous year questions from Gravitation with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

14 questionsNSEPSolutions on every page
1

At a certain height h above the surface of the earth the change in the value of acceleration due to gravity (g) is the same as that at a depth x below the surface. Assuming h and x

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If Newton's inverse square law of gravitation had some dependence on radial distance other than r⁻² , which one of Kepler's three laws of planetary motion would rNone of the above

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Let R be the radius of the earth. In general, the loss of gravitational potential energy of a body of mass m falling from a height h to the earth surface is

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A satellite is launched from a point close to the surface of the earth (radius R ) with a velocity v=v₀ 1.5 , where v₀ is the velocity in a circular orbit. If the initial velocity

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The shortest period of rotation of a planet (considered to be a sphere of uniform density ) about its own axis, such that any mass m kept on its equator is just to fly off the surf

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The magnitudes of the gravitational field at distances r₁ and r₂ from the centre of a uniform solid sphere of radius R and mass M are F (r₁ ) and F (r₂ ) respectively. Such that

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Two particles of masses m and M are initially at rest and infinitely separated. At a later instant when they are at a finite distance d from each other, their relative velocity of

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Two planets, each of mass M and radius R are positioned (at rest) in space, with their centres a distance 4 R apart. You wish to fire a projectile from the surface of one planet to

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At the Earth's surface, a projectile is launched straight up at a speed of 10.0 ~km / s . Height to which it will rise is [ g at surface of Earth =9.8 ~ms ⁻² and radius of earth R

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Two stars of masses M and m(M=2 m) separated by a distance d=3 astronomical unit, revolve in circular orbit about their centre of mass with a period of 2 years. If M _ s is mass of

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In an isolated asteroid of radius R and uniform density , a spherical cavity of diameter A C=R is excavated, where C is centre of asteroid. Choose correct alternative (s)

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A bullet is fired vertically up with half the escape speed from the surface of the Earth. The maximum altitude reached by it (ignore the effect of rotation of the Earth) in terms o

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Three stars of equal mass M rotate in a circular path of radius r about their center of mass such that the stars always remain equidistant from each other. The common angular speed

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The figure shows a smooth tunnel AB ( length =2 ) in a uniform density planet (say Earth) of mass M and radius R . A small ball of mass m is released from rest at the end A of the

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