A very very large number of particles of same mass m are kept at horizontal distances of 1m, 2m, 4m, 8m and so on from (0,0) point. The total gravitational potential at this point is (addition of G.P. of infinite terms = 
where a = first term, r = common ratio)
Text Solution
Verified by ExpertsThe correct answer is:
D
v = v1 + v2 + v3 + v4 + ......
= – 
– 
– 
– 
– 
– 
– ........
= – Gm 
→ G.P. of infinite series
= – Gm 
v = – Gm = – 2Gm
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase…
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potentia…
A body which is initially at rest at a height R above the surface of the earth of radius R, falls f…
Two planets A and B are fixed at a distance d from each other as shown in the figure. If the mass o…
A body starts from rest at a point, distance R 0 from the center of the earth of mass M, radius R. …
A particle of mass m is placed at the centre of a uniform spherical shell of mass and radius R. The…