Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m, 8m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be:
-G
-8/3G
-4/3G
-4G
The gravitational potential () at a point due to a system of particles is the scalar sum of the potentials due to individual particles. Given that each mass kg and the distances are The total potential at the origin is: The term in the bracket is an infinite geometric series with first term and common ratio . The sum of an infinite GP is . Substituting this back into the expression for : .
Join thousands of students and practice with AI-generated mock tests.