Q.

The equation of motion of a particle is d2ydt2+Ky=0 , where K is positive constant. The time period of the motion is given by

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a

2πK

b

2πK

c

2πK

d

2πK

answer is C.

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Detailed Solution

On comparing with standard equation d2ydt2+ω2y=0 we get ω2=K⇒ω=2πT=K⇒T=2πK.
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The equation of motion of a particle is d2ydt2+Ky=0 , where K is positive constant. The time period of the motion is given by