MHT CET · Physics · Motion In Two Dimensions

For a particle in uniform circular motion

A linear velocity always radial to the circular path, without change in its magnitude
B linear velocity always tangential to the circular path, without change in its magnitude
C linear acceleration always tangential to the circular path
D linear acceleration always along the axis of the circular path

Verified Solution

Answer & Solution

Correct Answer

(B) linear velocity always tangential to the circular path, without change in its magnitude

Step-by-step Solution

Detailed explanation

This is correct. In uniform circular motion, the particle moves in a circle with a constant speed, so the linear velocity is always tangential to the circular path, and its magnitude remains constant.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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