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AIPMT PRELIMS2005Physics-Circular Motion

AIPMT PRELIMS 2005 Physics Centripetal Acceleration MCQ Question

Type: MCQ-numerical-Medium-Class 11

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 s, what is the magnitude and direction of acceleration of the stone ?

A

(π²/4) ms⁻² and direction along the radius towards the centre

B

2π² ms⁻² and direction along the radius away from centre

C

π² ms⁻² and direction along the radius towards the centre

D

4π² ms⁻² and direction along the tangent to the circle

Correct Answer

Option C

Detailed Explanation

The centripetal acceleration is given by a = ω²r. With ω = 2π/T and T = 2 s, the acceleration is π² ms⁻² directed towards the center.

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