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A sewing machine needle is oscillating s...

A sewing machine needle is oscillating simple harmonically in a vertical line of length `6cm` with a frequency `30` per minute. The displacement of the needle `1//6s` after crossing the mean position is

A

`3 sqrt(3)` cm

B

`sqrt(3)` cm

C

3 cm

D

1.5 cm

Text Solution

Verified by Experts

The correct Answer is:
D
`2A = 6cm rArr A = 3 cm`
`T = (1 min)/(30) = 2s`
`t = (1)/(6)s = (T)/(12)rArr x = 0`
`x = (3)/(2) = 1.5 cm`
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