Each question contains Statement-1 and Statement-2 and has...

Each question contains Statement-1 and Statement-2 and has the following choices (a), (b), (c)and (d), out of which ONLY ONE is correct. (a) Statement- 1 is True, Statement- 2 is True; Statement- 2 is a correct explanation for Statement-1 (b) Statement- 1 is True, Statement- 2 is True; Statement- 2 is NOT a correct explanation for Statement-1 (c) Statement- 1 is True, Statement- 2 is False (d) Statement- 1 is False, Statement- 2 is True Statement 1 The centripetal acceleration of a particle in non-uniform circular motion is constant, in order to maintain it in a circular trajectory. and Statement 2 The tangential acceleration of a particle in non-uniform circular motion changes continuously.

Each question contains Statement-1 and Statement-2 and has the following choices (a), (b), (c)and (d), out of which ONLY ONE is correct.
(a) Statement- 1 is True, Statement- 2 is True; Statement- 2 is a correct explanation for Statement-1
(b) Statement- 1 is True, Statement- 2 is True; Statement- 2 is NOT a correct explanation for Statement-1
(c) Statement- 1 is True, Statement- 2 is False
(d) Statement- 1 is False, Statement- 2 is True
Statement 1 The centripetal acceleration of a particle in non-uniform circular motion is constant, in order to maintain it in a circular trajectory. and
Statement 2
The tangential acceleration of a particle in non-uniform circular motion changes continuously.

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Key Concepts

Non-uniform Circular Motion

This is the type of circular motion where the speed of the particle changes, meaning that aside from the acceleration directed towards the center, there is also tangential acceleration present to account for the speed variation.

Centripetal Acceleration

This is the acceleration directed towards the center of the circle that keeps a particle moving in a circular path. It is dependent on the particle’s speed and the radius of the circle, typically calculated as the square of the speed divided by the radius.

Tangential Acceleration

This is the component of acceleration tangential to the circular path, responsible for changing the magnitude of the particle's velocity. It exists only in non-uniform circular motion where the speed is not constant.

Uniform vs Non-uniform Circular Motion

In uniform circular motion, the speed remains constant and the only acceleration present is centripetal, while in non-uniform circular motion the speed varies, requiring both centripetal and tangential accelerations to accurately describe the particle's motion.

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