Question:

If the gravitational field in the space is given as (Kr2)\left(-\frac{K}{r^2}\right) Taking the reference point to be at r=2cmr =2\, cm with gravitational potential V=10J/kgV =10 \,J / kg Find the gravitational potential at r=3cmr =3\, cm in SI unit (Given, that K=6Jcm/kgK =6 \,Jcm / kg)

Updated On: Mar 20, 2025
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The Correct Option is B

Solution and Explanation



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Concepts Used:

Gravitation

In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.

Newton’s Law of Gravitation

According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,

  • F ∝ (M1M2) . . . . (1)
  • (F ∝ 1/r2) . . . . (2)

On combining equations (1) and (2) we get,

F ∝ M1M2/r2

F = G × [M1M2]/r2 . . . . (7)

Or, f(r) = GM1M2/r2

The dimension formula of G is [M-1L3T-2].