Question

If G is universal gravitational constant and g is acceleration due to gravity, then the unit of the quantity G/g is

(1) kg-m?
(2) kg/m
(3) kg/m²
(4) m2/kg


​

Answer 1

Answer:

kg/m2

Explanation:

Answer 2

Answer:

The unit of the quantity G/g is m2/kg i.e. option(4)

Explanation:

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of the universal gravitational effect. Its unit is Nm²kg⁻².

Whereas g is the net acceleration that is imparted to objects due to the combined effect of gravitation and the centrifugal force. Its unit is Nkg⁻¹.

As per the question,

$\frac{G}{g}=\frac{Nm^2kg^-2}{N kg^-^1}=\frac{m^2}{kg}$

Hence, the unit of the quantity G/g is m2/kg i.e. option(4)