Statement I: For the planets orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant. Statement II: No torque is acting on the rotating planet. So its angular momentum is constant.

Question

Statement I: For the planets orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant. Statement II: No torque is acting on the rotating planet. So its angular momentum is constant. (A) If both statement I and statement II are true and statement II is the correct explanation of statement I (B) If both statement I and statement II are true but statement II is not the correct explanation of statement I (C) If statement I is true but statement II is false (D) If both statement I and statement II are false

Tardigrade Admin · Accepted Answer

The torque on a body is given by vecτ = (d vecL/dt) In case of planet orbiting around sun no torque is acting on it. (d vecL/dt) = 0 ⇒ vecL = constant.

Q. Statement I : For the planets orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant.
Statement II : No torque is acting on the rotating planet. So its angular momentum is constant.

If both statement I and statement II are true and statement II is the correct explanation of statement I

If both statement I and statement II are true but statement II is not the correct explanation of statement I

If statement I is true but statement II is false

If both statement I and statement II are false

The torque on a body is given by $τ = \frac{d L}{d t}$

In case of planet orbiting around sun no torque is acting on it.

$\frac{d L}{d t} = 0$

$\Rightarrow L =$ constant.

Q. Statement I : For the planets orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant. Statement II : No torque is acting on the rotating planet. So its angular momentum is constant.