Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • The escape velocity from the Earth's surface is . The escape velocity from the surface of another planet having a radius, four times that of Earth and

The escape velocity from the Earth's surface is \nu. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :

Option: 1

\nu


Option: 2

2\nu


Option: 3

3\nu

 


Option: 4

4\nu


Answers (1)

best_answer

Escape velocity from earth's surface=V=\sqrt{\frac{2GM}{R}}

Escape velocity from planet=V{}'=\sqrt{\frac{2GM{}'}{R{}'}}

R{}'=4R

M=3\times \frac{4}{3}\pi R^{3}

M{}'=3\times \frac{4}{3}\pi \left ( R{}'\right )^{3}=64M

\frac{V}{{V}'}=\sqrt{\frac{M}{{M}'}\times \frac{{R}'}{R}}=\sqrt{\frac{1}{64}\times \frac{4R}{R}}

\frac{V}{{V}'}=\frac{1}{4}             ;{{V}'}=4V

Posted by

seema garhwal

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 exam stress? 17 year-old MBBS aspirant dies by suicide in Goa; police launch probe
anam-khan

NEET UG 2026 Exam LIVE: Re-NEET dates soon for MBBS, BDS admissions; registration fee refund, NTA paper leak
anam-khan

'Abolish NEET', says Tamil Nadu CM Vijay citing structural flaws; backs 12th marks for MBBS admission

Latest Question