MENU

If the density of earth is doubled keeping its radius constant then acceleration

If The Density Of Earth Is Doubled Keeping Its Radius Physics Question

If the density of earth is doubled keeping its radius constant then acceleration due to gravity will be (g=9.8 m/s²)

Options

(a) 19.6 m/s²
(b) 9.8 m/s²
(c) 4.9 m/s²
(d) 2.45 m/s²

Correct Answer:

19.6 m/s²

Explanation:

Acceleration due to gravity g=GM/R² ——-(1)
The radius is constant, volume also constant.
If volume is constant, density is proportional to mass.(v=m/ρ)
The density is doubled, the mass is also doubled. (M’=2M)
The new acceleration due to gravity g’=GM’/R’²
Put the value M’=2M and R’=R
g’=G(2M)/R²
g’=2GM/R² ——–(2)
Substituting equations (1) and (2), we get
g’=2g
g=9.8 m/s²
g’=2×9.8=19.6 m/s²

Related Questions:

  1. Three unequal resistors in parallel are equivalent to a resistance 1 Ω.
  2. Water rises to a height h in a capillary at the surface of earth. On the surface
  3. A thin ring of radius R meter has charge q coulomb uniformly spread on it
  4. The wavelength of the first line of Lymasn series for hydrogen atom is equal
  5. In intrinsic semiconductor at room temperature number of electrons and holes are

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

Be the first to comment

Leave a Reply

Your email address will not be published.


*