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Q.

(A) : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes.
(R) : The centripetal acceleration in circular motion is dependent on angular velocity of the body.

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a

(A) is true but (R) is false

b

Both (A) and (R) are true and (R) is the correct explanation of (A)

c

Both (A) and (R) are false

d

Both (A) and (R) are true and (R) is not the correct explanation of (A)

answer is B.

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Detailed Solution

When a particle moves in a circle with a uniform speed , its direction changes continuously, hence, its velocity and acceleration both changes.

Centripetal force, ac=ω2R

Both (A) and (R) are true and (R) is not the correct explanation of (A).

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(A) : When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes.(R) : The centripetal acceleration in circular motion is dependent on angular velocity of the body.