JEE Mains · Physics · STD 11 - 7. gravitation
Match list-\(I\) with list-\(II\):
| List-\(I\) | List-\(II\) |
| \((A)\)Kinetic energy of plant | \((I)\) \(-\frac{\mathrm{GMm}}{\mathrm{a}}\) |
| \((B)\) Gravaitatioin potentiyal energy of sun -plant system | \((II)\) \(\frac{\mathrm{GMm}}{2 \mathrm{a}}\) |
| \((C)\)Total mecaniacal energy of palnt | \((III)\) \(\frac{\mathrm{Gm}}{\mathrm{r}}\) |
| \((D)\)Escap energyat the surface of plant for unit mass object | \((IV)\) \(-\frac{\mathrm{GMm}}{2 \mathrm{a}}\) |
Choose the correct answer from the options given below:
- A \((A) - II, (B) - I, (C) - IV, (D) - III\)
- B \((A) - III, (B) - IV, (C) - I, (D) - II\)
- C \((A) - I, (B) - IV, (C) - II, (D) - III\)
- D \((A) - I, (B) - II, (C) - III, (D) - IV\)
Answer & Solution
Correct Answer
(A) \((A) - II, (B) - I, (C) - IV, (D) - III\)
Step-by-step Solution
Detailed explanation
\(\mathrm{KE}=\frac{1}{2} \mathrm{mv}^2=\frac{\mathrm{GMm}}{2 \mathrm{a}}\) \(\mathrm{PE}=-2 \mathrm{KE}\) \(\mathrm{TE}=-\mathrm{KE}\)
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