| ⇦ | 
| ⇨ |
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: - The ratio of volumes of nuclei (assumed to be in spherical shape) with respective
- The range of voltmeter is 10V and its internal resistance is 50Ω.
- If α (current gain) of transistor is 0.98, then what is the value of β
- The most important characteristic of electron in the production of X-rays is
- When a mass m is attached to a spring, it normally extends by 0.2 m.
Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The ratio of volumes of nuclei (assumed to be in spherical shape) with respective
- The range of voltmeter is 10V and its internal resistance is 50Ω.
- If α (current gain) of transistor is 0.98, then what is the value of β
- The most important characteristic of electron in the production of X-rays is
- When a mass m is attached to a spring, it normally extends by 0.2 m.
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