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NEET
Exam
NEET
Subject
Physics
Chapter
Gravitation

NEET · Physics · Gravitation

Assertion (A) Angular speed, linear speed and kinetic energy change...

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 torque acts on the planet.

Options

  1. ABoth A\mathrm{A} and R\mathrm{R} are true and R\mathrm{R} is a correct explanation for AA.
  2. BBoth A\mathrm{A} and R\mathrm{R} are true but R\mathrm{R} is not a correct explanation for AA.
  3. CAA is true, RR is false.
  4. DAA is false, RR is true.

Correct answer

A. Both A\mathrm{A} and R\mathrm{R} are true and R\mathrm{R} is a correct explanation for AA.

Step-by-step solution

As we know that, Torque is the moment of force and torque (τ)=r×F(\tau)=\mathbf{r} \times \mathbf{F} where, r\mathbf{r} is distance between axis of rotation and force (F)(F). Also, τ=dLdt\tau=\frac{d L}{d t} and since, in space there is no external torque is applied so, τ=0∴ΔL=0= constant \tau=0\therefore \quad \Delta L=0=\text{ constant } Hence, Assertion (A) and Reason (R) both are true and Reason (R) is the correct explanation of Assertion (A).
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