(a) Starting from Newton’s law of gravitation, obtain by dimensional analysis the…

PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

(a) Starting from Newton’s law of gravitation, obtain by dimensional analysis the dimensional formula of the universal gravitational constant

G

. (b) Express

G

in terms of the seven SI base units and state whether any special SI derived unit name has been allotted to it. (c) From

g = \dfrac{GM}{r^{2}}

for a planet of mass

M

and radius

r

, obtain the dimensional formula of gravitational field intensity

g

and express its unit in SI base units. Comment on the existence (or otherwise) of a special name for this unit.