A particle of mass ‘m’ is kept at rest at a height 3R from the surface of earth

A Particle Of Mass M Is Kept At Rest At Physics Question

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:

  1. Three solids of masses m₁,m₂ and m₃ are connected with weightless string
  2. Surface tension of water will be minimum at
  3. Two bullets are fired simultaneously, horizontally and with different speeds
  4. Four point masses, each of value m, are placed at the corners of a square ABCD
  5. A conductor of length 5 cm is moved parallel to itself with a speed of 2 m/s,

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.

NEETLab Mobile App

Share this page with your friends

1 Comment on A particle of mass ‘m’ is kept at rest at a height 3R from the surface of earth

Leave a Reply

Your email address will not be published.


*