| ⇦ | 
| ⇨ |
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 series R-C circuit is connected to an alternating voltage source. Consider two
- One coolie takes 1 minute to raise a suitcase through a height of 2 m
- The motion of a particle along a straight line is described by equation
- A certain mass of Hydrogen is changed to Helium by the process of fusion
- What should be the velocity(v) of a sound source moving towards a stationary observer
Topics: Gravitation
(63)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A series R-C circuit is connected to an alternating voltage source. Consider two
- One coolie takes 1 minute to raise a suitcase through a height of 2 m
- The motion of a particle along a straight line is described by equation
- A certain mass of Hydrogen is changed to Helium by the process of fusion
- What should be the velocity(v) of a sound source moving towards a stationary observer
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