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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)
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Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A galvanometer of 50 Ω resistance has 25 divisions. A current of 4×10⁻⁴ A gives
- In Wheatstone bridge, three resistors P,Q and R are conncected in three arms
- Three blocks A,B and C of masses 4 kg, 2 kg and 1 kg respectively are in contact
- A metal wire of circular cross-section has a resistance R₁. The wire is now stretched
- A leaf which contains only green pigments is illuminated by a laser light
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