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A mass is suspended separately by two di...

A mass is suspended separately by two different springs in successive order then time period is `t_1` and `t_2` respectively. If it is connected by both spring as shown in figure then time period is `t_0`, the correct relation is : -

A

`t_0^2=t_1^2+t_2^2`

B

`t_0^2=t_1^(-2)+t_2^(-2)`

C

`t_0^(-1)=t_1^(-1) + t_2^(-1)`

D

`t_0=t_1+t_2`

Text Solution

Verified by Experts

The correct Answer is:
B
`because T=2pisqrt(m/K) rArr K prop 1/T_2`
In this case `K=K_1+K_2`
`1/t_0^2=1/t_1^2+1/t_2^2 rArr t_0^2=t_1^2+t_2^2`
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