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Physics-Uniform Circular Motion

NEET Physics Uniform Circular Motion MCQ Question

Type: MCQ-numerical-Hard-Class 11

A particle is in uniform circular motion with a constant speed v along a circle of radius R. If the frequency of its circular motion is ν, what is the expression for its centripetal acceleration a_c in terms of ν and R?

A

a_c = 4π²ν²R

B

a_c = 2πν²R

C

a_c = 4πνR²

D

a_c = 2π²νR

Correct Answer

Option A

Detailed Explanation

Using the relation a_c = ω²R and ω = 2πν, the centripetal acceleration a_c can be expressed as a_c = (2πν)²R = 4π²ν²R.

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