Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A body is fired with velocity of magnitude <img alt="\sqrt{\mathrm{gR}}<\mathrm{V}<\sqrt{2 \mathrm{gR}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Csqrt%7B%5Cmathrm%7BgR%7D%7D%3C

A body is fired with velocity of magnitude \sqrt{\mathrm{gR}}<\mathrm{V}<\sqrt{2 \mathrm{gR}} at an angle of 30^{\circ} with the radius vector of earth. If at the highest point the speed of the body is \mathrm{v / 4}, the maximum height attained by the body is equal to

where \mathrm{R=} radius of earth. (Use the appropriate assumptions)

Option: 1

v^2 / 8 \mathrm{~g}


 


Option: 2

\mathrm{R}
 


Option: 3

\sqrt{ } 2 \mathrm{R}
 


Option: 4

None of these


Answers (1)

best_answer

Conservation of angular momentum of the body about \mathrm{O} yields

\mathrm{m v(\sin 30) R=m v^{\prime}(R+h)}

\mathrm{\Rightarrow \frac{\mathrm{v}}{2} \mathrm{R}=\frac{\mathrm{v}}{4}(\mathrm{R}+\mathrm{h})}

\mathrm{\Rightarrow \mathrm{h}=\mathrm{R}}

Hence option 2 is correct.


 

Posted by

Ritika Kankaria

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

Re-NEET UG 2026: Education minister seeks cooperation of states, UTs for fair and smooth conduct of exam
anam-khan

Tamil Nadu NEET UG Cut-offs: Madras Medical College, CMC Vellore among top choices
anam-khan

NEET Paper Leak Case: Delhi court sends Pune physics lecturer to six-day CBI custody

Latest Question