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Question: A particle executes SHM along a straight line so that its period is 12s. The time it takes in traver...

A particle executes SHM along a straight line so that its period is 12s. The time it takes in traversing a distance equal to half its amplitude from its equilibrium position is –

A

6s

B

4s

C

2s

D

1s

Answer

1s

Explanation

Solution

E = a sin wt a2\frac { \mathrm { a } } { 2 } = a sin wt

or 12\frac { 1 } { 2 }= sin wt

or sin π6\frac { \pi } { 6 }= sin 2π12\frac { 2 \pi } { 12 }t

t = 1s