In previous problem, if the body is suspended from the two springs connected in parallel, the time period will be

Options

A. `sqrt(T_1T_2)`
B. `(T_1T_2)/(sqrt(T_1^2+T_2^2))`
C. `sqrt((T_1^2T_2^2)/(2))`
D. `(2T_1T_2)/(sqrt(T_1^2+T_2^2))`

Answer

B

Explanation

`k_(eq)=k_1+k_2`
`(1)/(T^2)=(1)/(T_1^2)+(1)/(T_2^2)=(T_2^2+T_1^2)/(T_1^2T_2^2)`
`T=sqrt((T_1^2T_2^2)/(T_1^2+T_2^2))=(T_1T_2)/(sqrt(T_1^2T_2^2)`