Q.
The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is
see full answer
Start JEE / NEET / Foundation preparation at rupees 99/day !!
21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya
a
2Gd(M1+M2)
b
22Gd(M1+M2)
c
2Gmd(M1+M2)
d
2Gm(M1+M2)d(R1+R2)
answer is A.
(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
Gravitational potential at mid point V=−GM1d/2+−GM2d/2Now, PE=m×V=−2Gmd(M1+M2)[m = mass of particle]So, for projecting particle from mid point to infinityKE = | PE |⇒ 12mv2=2 Gmd(M1+M2)⇒ v=2G (M1+M2)d
Watch 3-min video & get full concept clarity