Free physics question bank
Acceleration Due to Gravity & Escape Velocity questions with solutions
Practice Gravitation for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 112 questions
- MCQeasyGravitation
T is the time period of simple pendulum on the earth's surface. Its time period becomes xT when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of x will be:
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JEE Mains25 January 2023Morning Shift
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The weight of a body on the surface of the earth is 100 N. The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:
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JEE Mains6 April 2023Shift 2Evening Shift
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If Earth has mass nine times and radius twice that of a planet P, then (vₑ/3)√x m s⁻¹ will be the minimum velocity required by a rocket to escape from gravitational force of P, where vₑ is escape velocity on Earth. The value of x is:
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JEE Mains1 February 2023Shift 1Morning Shift
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An object is initially at rest at a height 3R above the Earth's surface, where R is Earth's radius. The minimum speed with which it must be projected so that it does not return to Earth is:
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JEE Mains 2025 4 April Evening Shift
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If the radius of the Earth is increased by a factor of 5 while the surface value of g is to remain unchanged, by what factor must its mean density change?
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JEE MainsAdvanced
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The distance between the centres of the Earth and Moon is D. The mass of the Earth is 81 times the mass of the Moon. At what distance from the centre of the Earth is the net gravitational force on a test mass zero?
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JEE MainsAdvanced
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A hypothetical spherical planet of radius R has density ρ(r) = Kr, where K is constant. The pressure at radius r < R is P(r) = [K²Gπ/n2](R⁴ - r⁴). Find n.
JEE MainsAdvanced
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Two straight tunnels are dug through a uniform Earth: one along a diameter and the other along a chord. A particle is released from one end of each tunnel. Let T₁,T₂ be their periods and v₁,v₂ their maximum speeds for the diameter and chord tunnels respectively. Select the correct statement(s).
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JEE MainsAdvanced
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A particle is projected vertically upward from Earth's surface with speed equal to half the escape speed. Neglect atmosphere. Its maximum distance from Earth's centre is:
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JEE AdvancedIrodov Level
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To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is Rₑ, g = acceleration due to gravity on the surface of earth) :
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JEE Mains 2024 06 Apr Morning Shift
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