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Physics · MOTION IN A PLANE
हिन्दीA particle undergoes uniform circular motion in a path of radius \( R \). If its frequency of revolution is doubled while the radius of the circle is halved, the new centripetal acceleration becomes how many times its initial centripetal acceleration?
Correct answer · Option 1
\( 2\text{ times} \)
Explanation
\( a_c = 4\pi^2 \nu^2 R \). When \( \nu' = 2\nu \) and \( R' = R/2 \), \( a_c' = 4\pi^2 (2\nu)^2 (R/2) = 4\pi^2 (4\nu^2)(R/2) = 2(4\pi^2 \nu^2 R) = 2a_c \). Thus it becomes 2 times.
