jee-main 2024 Q9

jee-main · India · session2_05apr_shift1 Not Maths
Match List I with List II:
List I
(A) Kinetic energy of planet
(B) Gravitation Potential energy of sun-planet system
(C) Total mechanical energy of planet
(D) Escape energy at the surface of planet for unit mass object
List II (I) $-\mathrm{GMm}/\mathrm{a}$ (II) $\mathrm{GMm}/2\mathrm{a}$ (III) $\frac{\mathrm{Gm}}{\mathrm{r}}$ (IV) $-\mathrm{GMm}/2\mathrm{a}$ (Where $\mathbf{a} =$ radius of planet orbit, $\mathbf{r} =$ radius of planet, $\mathrm{M} =$ mass of Sun, $\mathrm{m} =$ mass of planet) Choose the correct answer from the options given below:
(1) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(2) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
(3) (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
(4) (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
Match List I with List II:

\textbf{List I}\\
(A) Kinetic energy of planet\\
(B) Gravitation Potential energy of sun-planet system\\
(C) Total mechanical energy of planet\\
(D) Escape energy at the surface of planet for unit mass object

\textbf{List II}\\
(I) $-\mathrm{GMm}/\mathrm{a}$\\
(II) $\mathrm{GMm}/2\mathrm{a}$\\
(III) $\frac{\mathrm{Gm}}{\mathrm{r}}$\\
(IV) $-\mathrm{GMm}/2\mathrm{a}$\\
(Where $\mathbf{a} =$ radius of planet orbit, $\mathbf{r} =$ radius of planet, $\mathrm{M} =$ mass of Sun, $\mathrm{m} =$ mass of planet)\\
Choose the correct answer from the options given below:\\
(1) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)\\
(2) (A)-(II), (B)-(I), (C)-(IV), (D)-(III)\\
(3) (A)-(I), (B)-(II), (C)-(III), (D)-(IV)\\
(4) (A)-(I), (B)-(IV), (C)-(II), (D)-(III)