JEE MAIN - Physics (2024 - 5th April Morning Shift - No. 7)

Match List I with List II :

	LIST I		LIST II
A.	Kinetic energy of planet	I.	$$ -\mathrm{GMm} / \mathrm{a} $$
B.	Gravitation Potential energy of sun-planet system	II.	$$ \mathrm{GMm} / 2 \mathrm{a} $$
C.	Total mechanical energy of planet	III.	$$ \frac{\mathrm{Gm}}{\mathrm{r}} $$
D.	Escape energy at the surface of planet for unit mass object	IV.	$$ -\mathrm{GMm} / 2 \mathrm{a} $$

(Where $$\mathrm{a}=$$ radius of planet orbit, $$\mathrm{r}=$$ radius of planet, $$\mathrm{M}=$$ mass of Sun, $$\mathrm{m}=$$ mass of planet)

Choose the correct answer from the options given below :

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(A)-(I), (B)-(IV), (C)-(II), (D)-(III)

$$\text { K.E }=\frac{G M m}{2 a} \quad \text{(II)}$$

$$U_G=\frac{-G M m}{a} \quad \text{(I)}$$

$$M . E=\frac{-G M m}{2 a} \quad \text{(IV)}$$

$$\text { and Escape Energy }=\frac{G m}{r} \quad \text{(III)}$$