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Springs in Parallel and Series

A particle ex...

Question

A particle executes SHM according to the equation $Y = 2 s i n 2 π t$ where ‘Y’ is displacement in ‘m’ and ‘t’ is time is ‘seconds’. The distance covered by the particle in 4s of its motion is

A

2m

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B

8m

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C

32m

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Solution

The correct option is C 32m
$y = A s i n ω t$ for one oscillation T = 1sec S = 4A = 8
For 4 sec 4 oscillate $S_{t o t a l} = 32 m$

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