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Five identical springs are used in the f...

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio

A

`1:sqrt(2):(1)/(sqrt(2))`

B

`2:sqrt(2):(1)/(sqrt(2))`

C

`(1)/(sqrt(2)):2:1`

D

`2:(1)/(sqrt(2)):1`

Text Solution

Verified by Experts

The correct Answer is:
A
(a)`T_(a) =2pisqrt((m)/(k))`
`T_(b)=2pisqrt((m)/((k//2)))" "`(`because` springs are connected in series)
`T_(c)=2pisqrt((m)/(2k))" "` (`Springs are connected in parallel)
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