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Questions  

A particle moves so that its acceleration a is given by a=bx, where x is displacement from the equilibrium position and b is a constant. The period of oscillation is

a
2πb
b
2πb
c
2πb
d
2πb

detailed solution

Correct option is B

Condition for motion of a particle to be SHM is, acceleration of SHM is  a = −ω2x, here ω= angular velocity, x= displacementGiven equation , a = −bx  ∴  ω2=b ω=b, time period is T2πT=b ⇒T=2πb

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