Match List$-I$ With List$-II$

$(a)$ Gravitational constant $(G)$	$(i)$ $\left[ L ^{2} T ^{-2}\right]$
$(b)$ Gravitational potential energy	$(ii)$ $\left[ M ^{-1} L ^{3} T ^{-2}\right]$
$(c)$ Gravitational potential	$(iii)$ $\left[ LT ^{-2}\right]$
$(d)$ Gravitational intensity	$(iv)$ $\left[ ML ^{2} T ^{-2}\right]$

Choose the correct answer from the options given below:

Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. $F \propto {1\over r^3}$, but still remaining a central force. Then

What is the direction of areal velocity of the earth around the sun ?

The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun

Two satellites are launched at a distance $R$ from a planet of negligible radius. Both satellites are launched in the tangential direction. The first satellite launches correctly at a speed $v_0$ and enters a circular orbit. The second satellite, however, is launched at a speed $\frac {1}{2}v_0$ .  What is the minimum distance between the second satellite and the planet over the course of its orbit?

The time period of a satellite in a circular orbit of radius $R$ is $T$. The period of another satellite in a circular orbit of radius $9 R$ is............ $T$