Q58 / 75 · JEE Main 2025 (7 Apr Shift 2) · Physics
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant.
Reason (R) : For a central force field the angular momentum is a constant.
In the light of the above statements, choose the most appropriate answer from the options given below :
Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant.
Reason (R) : For a central force field the angular momentum is a constant.
In the light of the above statements, choose the most appropriate answer from the options given below :
- Correct answerABoth $(\mathrm{A})$ and $(\mathrm{R})$ are correct and $(\mathrm{R})$ is the correct explanation of $\mathrm{( A)}$
- BBoth $(\mathrm{A})$ and $(\mathrm{R})$ are correct but $(\mathrm{R})$ is not the correct explanation of (A)
- C(A) is correct but $(\mathrm{R})$ is not correct
- D(A) is not correct but (R) is correct
Solution
$\frac{\mathrm{dA}}{\mathrm{dt}}=\frac{\mathrm{L}}{2 \mathrm{~m}}$
Due to central force torque is zero $\&$ angular momentum is constant.
Due to central force torque is zero $\&$ angular momentum is constant.
Hence, the correct answer is option: 'A'.