Question

7. The relation between "g" and "G" is :
*
g=Gm/R2
GR2/m
g=GmR2
G/mR2​

Answer 1

Answer:

a) is the correct answer

Explanation:

Where,

g is the acceleration due to the gravity of any given body in m.s-2

G is the universal gravitational constant in Nm2.kg-2

R is the radius of the given body in km

M is the mass of the given body in kg

Answer 2

$\red{\frak{Given }} \begin{cases}\textsf{ Capital \textbf{ G} which is Gravitational Constant.}\\\textsf{ Small \textbf{g} which is acceleration due of gravity.}\end{cases}$

$\red{\frak{To \ Find}}\begin{cases}\textsf{ The realtion between g and G .}\end{cases}$

Here we need to find the Realation between G and g . As we know that this capital G is the Gravitational Constant whose value is $\sf 6.67 \times 10^{-11}\ kg^2 m^{-2}$ .

Now we know the formula to find the Force of attraction between two bodies as ,

$\sf:\implies\pink{ Force_{(attraction)}=\dfrac{G (Mass_1 ) (Mass_2)}{Radius^2}} \\\\\sf:\implies Weight = \dfrac{G (M ) (m)}{Radius^2} \\\\\sf:\implies mg = \dfrac{G (M) (m)}{Radius^2} \qquad\bigg\lgroup \red{\bf Weight = mg }\bigg\rgroup \\\\\sf:\implies \boxed{\pink{\frak{ g =\dfrac{G M_{(planet)}}{Radius_{(planet)}^2}}}}$