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A particle of mass ‘m’ is kept at rest at a height 3R from the surface of earth, where ‘R’ is radius of earth and ‘M’ is mass of earth. The minimum speed with which it should be projected, so that it does not return back, is( g is acceleration due to gravity on the surface of earth)
Options
(a) (GM / R)¹/²
(b) (GM / 2R)¹/²
(c) (GR / 4)¹/²
(d) (2G / 4)¹/²
Correct Answer:
(GM / 2R)¹/²
Explanation:
As we know, the minimum speed with which a body is projected so that it doe snot return back is called escape speed.
vₑ = √(2GM / r) = √(2GM / R + h) = √(2GM / 4R)
= (GM / 2R)¹/² ( h = 3R)
Related Questions: - A particle in simple harmonic motion is described by the displacement function
- If the distance between the plates of two capacitor is increased then capacitance
- A bucket full of water is revolved in a vertical circle of 2m
- A slab consists of two parallel layers of two different materials of same thickness
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Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A particle in simple harmonic motion is described by the displacement function
- If the distance between the plates of two capacitor is increased then capacitance
- A bucket full of water is revolved in a vertical circle of 2m
- A slab consists of two parallel layers of two different materials of same thickness
- Charge q is uniformly spread on a thin ring of radius R. The ring rotates
Topics: Gravitation (63)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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If it is √GM/4R then the ans. Should be [GM/4R]*1/2