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A seconds pendulum is suspended from the...

A seconds pendulum is suspended from the ceiling of a trolley moving horizontally with an acceleration of `4 m//s^(2)` . Its period of oscillation is

A

`1.90s`

B

`1.70 s`

C

`2.30 s`

D

`1.40 s`

Text Solution

Verified by Experts

The correct Answer is:
A

`g_(e) = sqrt(g^(2) + a^(2)) = sqrt((10)^(2) + (4)^(2))`
`= 10.77 m//s^(2)`
`T = 2pi sqrt((l)/(g_(e)) = 2pi sqrt((1)/(10.77))`
`= 1.90 s`
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