Q.
A body is projected from a point on ground making an angle of 60o with horizontal. If radius of curvature of its trajectory at the top most point is 10 m, then radius of curvature at the point of projection is
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
a
20 m
b
120 m
c
60 m
d
80 m
answer is D.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
If u be the velocity of projection, α be the angle of projection and ρ be the radius of curvature at the highest point, then ucosα2ρ=g⇒ρ=u2cos2αgAt point A, u2ρ1=gcosα⇒gcosα⇒ρ1=u2g1cosα=ρcos2α.1cosα=ρcos3α∴ ρ1=10cos60o3m=80 m
Watch 3-min video & get full concept clarity