Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • The mean radius of the earth is R, its angular speed about its own axis and the acceleration due to gravity at th

The mean radius of the earth is R, its angular speed about its own axis \omega and the acceleration due to gravity at the earth surface is g. The cube of radius of orbit of ‘geostationary satellite’ will be:

Option: 1

\mathrm{\left(R^2 g / \omega\right)}


Option: 2

\mathrm{\left(R^2 \omega / g\right)}


Option: 3

\mathrm{\left(\mathrm{Rg} / \omega^2\right)}


Option: 4

\mathrm{\left(R^2 g / \omega^2\right)}


Answers (1)

best_answer

\mathrm{\begin{aligned} & m r \omega^2=\frac{G M m}{r^2} \\ \Rightarrow & r \omega^2=\frac{G M}{r^2} \\ \Rightarrow & r^3=\frac{G M}{\omega^2}=\frac{G M}{R^2} \cdot \frac{R^2}{\omega^2} \\ \Rightarrow & r^3=g \frac{R^2}{\omega^2} . \end{aligned}}

Hence (D) is correct.

Posted by

manish

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET aspirant dies by suicide in Hyderabad, was depressed over not securing seat
anam-khan

Maharashtra NEET UG Counselling 2026: 138 seats vacant still vacant; no institutional round admission
anam-khan

NEET UG 2026 Paper Leak: Delhi court reserves order on framing of charges

Latest Question