Question

Assertion :In circular motion, dot product of velocity vector $\left(\overrightarrow{v}\right)$ and acceleration $\left(\overrightarrow{a}\right)$ may be positive, negative or zero. Reason: Dot product of angular velocity vector and linear velocity is always zero.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion is incorrect and Reason is correct

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Assertion and reason both are correct as angular velocity is always orthogonal to the linear velocity in circular motion. However, acceleration has two components, a linear component and a radial component. But, reason is a stand alone statement and gives no clarity on acceleration of the object. Hence, option B.