Verified Solution • 2025–26 Session moderate

QJEEM24Ph5023: JEE Main 2024 Physics - Class 11 JEEM24Ph5023 Solution: Match List I with List II : .tg…

Match List I with List II :

LIST I LIST II
A. Kinetic energy of planet I. −GMm/a
B. Gravitation Potential energy of sun-planet system II. GMm/2a
C. Total mechanical energy of planet III. Gmr
D. Escape energy at the surface of planet for unit mass object IV. −GMm/2a

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

Choose the correct answer from the options given below :

Multiple Choice Options

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

Step-by-Step Verified Solution

 K.E =GMm2a(II)\text { K.E }=\frac{G M m}{2 a} \quad \text{(II)}

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

M.E=−GMm2a(IV)M . E=\frac{-G M m}{2 a} \quad \text{(IV)}

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

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