Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

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

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
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)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

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

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon