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Question

The equation of motion of a particle executing SHM is (d2xdt2)+kx=0. The time period of the particle will be ?

A
2πk
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B
2π
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C
2πk
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D
2πk
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Solution

The correct option is A 2πk
The equation of motion,

d2xdt2+kx=0

a=kx

ω2=k (a=ω2x)

ω=k

2πT=k

Time period,

T=2πk

The correct option is A.

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