Question 84: Gravitation

Question

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 :

Accepted Answer

$$	ext { K.E }=\frac{G M m}{2 a} \quad 	ext{(II)}$$
$$U_G=\frac{-G M m}{a} \quad 	ext{(I)}$$
$$M . E=\frac{-G M m}{2 a} \quad 	ext{(IV)}$$
$$	ext { and Escape Energy }=\frac{G m}{r} \quad 	ext{(III)}$$

Answer

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

Answer

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

Answer

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

Answer

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

Gravitation

Choose the correct answer: