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1. ⇒  (MHT CET 2023 12th May Evening Shift )

In P th  second, a particle describes angular displacement of ' β ' rad. If it starts from rest, the angular acceleration is

A. β P

B. β ( P − 1 )

C. 2 β ( 2 P − 1 )

D. ( 2 β + 1 ) ( 2 P − 1 )

Correct Option is (C)

The equation for the angular displacement of the particle that starts from rest is given as:

β = 0 + 1 2 α ( 2 P − 1 )

∴ The angular acceleration of the particle is α = 2 β ( 2 P − 1 )