| ⇦ | 
| ⇨ |
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: - When 4 A current flows for 2 min in an electroplating experiment,
- Which gate can be obtained by shorting both the input terminals of a NOR gate?
- A bullet comes out of the barrel of gun of length 2m with a speed of 800 m/s
- The ultimate individual unit of magnetism in any magnet is called
- The half life of radium is about 1600 year. Of 100 gram of radium existing now
Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- When 4 A current flows for 2 min in an electroplating experiment,
- Which gate can be obtained by shorting both the input terminals of a NOR gate?
- A bullet comes out of the barrel of gun of length 2m with a speed of 800 m/s
- The ultimate individual unit of magnetism in any magnet is called
- The half life of radium is about 1600 year. Of 100 gram of radium existing now
Topics: Gravitation (63)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
If it is √GM/4R then the ans. Should be [GM/4R]*1/2