Four different equations are proposed for the magnitude of gravitational force…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Four different equations are proposed for the magnitude of gravitational force

F

between two point masses

m_1

and

m_2

separated by a distance

r

(with

G

as a constant). Which one is dimensionally consistent? (a)

F = G\,\dfrac{m_1}{r^{2}}

(b)

F = G\,m_1 m_2 r^{2}

(c)

F = G\,\dfrac{m_1 m_2}{r^{2}}

(d)

F = G\,\dfrac{m_1 m_2}{(m_1+m_2)\,r^{2}}