Question

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`

Answer 1

Correct Answer - 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)