Q.

If  the gravitational force between sun and earth is inversely proportional to  r3 , where r is distance between earth and sun. Then which of the following statements are correct.

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

Its orbit around sun can’t be a stable elliptical orbit.

b

Its orbit around sun can’t be a stable circular orbit.

c

Motion of earth around sun will be in one plane.

d

Tidal forces acting on earth will be inversely proportional to  r4.

answer is A, B, C, 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

1. Motion is in one plane by conservation of angular momentum
2.  mω2r=mv2r=(mvr)2mr3=L2mr3
 Question Image
Let equilibrium radius be   (L2mr03+Kr03)  or  K=L2m
In general force on earth
F=(L2mr3Kr3)dFdr=(3L2mr4+3Kr4) 
 dFdr=3(KL2m)[1r4)=0
This represents neutral equilibrium
3. Tidal forces are proportional to  dFdr

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon