Which of the following statements is true for | vedclass

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(A) According to Kepler's second law of planetary motion, the areal velocity of a planet revolving around the sun remains constant. This is a direct c

Vedclass · Accepted Answer

Their velocity increases when their distance decreases from the sun in accordance with the conservation of angular momentum.

Vedclass · Answer

(A) According to Kepler's second law of planetary motion, the areal velocity of a planet revolving around the sun remains constant. This is a direct consequence of the conservation of angular momentum, as the gravitational force exerted by the sun is a central force, resulting in zero torque $(	au = 0)$.Since angular momentum $L = mvr \sin(	heta)$ is conserved, when a planet is closer to the sun (smaller $r$), its orbital velocity $v$ must increase to keep $L$ constant. Therefore, the statement in option $A$ is correct.

Which of the following statements is true for the planets orbiting around the sun?

Similar Questions

The period of revolution of planet $A$ around the sun is $8$ times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun?

Which quantity remains constant in the orbital motion of the Earth around the Sun?

Which of the following graphs represents the motion of a planet moving about the sun?

$A$ planet revolves around the Sun in an elliptical orbit as shown in the figure. Which of the following statements is correct?

Assertion $(A)$: Angular speed,linear speed,and kinetic energy change with time,but angular momentum remains constant for a planet orbiting the sun.
Reason $(R)$: Angular momentum is constant as no external torque acts on the planet.

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