The equation of motion of a particle executing simple harmonic motion is 4 d ^2 y dt ^2 + ^2 y =0 where y is in metres and t is in seconds. The time period of oscillation of the particle is

Step-by-step solution

Equation of motion: aligned & 4 d^2 y d t^2 + ^2 y=0 & d^2 y d t^2 + ^2 4 y=0 aligned General equation of motion is d^2 y d t^2 + ^2 y=0 On compairing, ^2= ^2 2^2 = 2 Time is given as : T= 2 aligned & T= 2 2 & T=4 aligned