A Body of mass (m) is suspended from two light springs of spring constants `k_(1) and k_(2) (lt k_(1))` separately.The periods of vertical oscillations are `T_(1) and T_(2)` respectively. Now the same body is suspended from same two springs which are first connected in series and then in parallel. The period of vertical oscillations are `T_(S) and T_(P)` respectively.

Options

A. `T_(P) lt T_(1) lt T_(2)` for `k_(1) gt k_(2)`
B. `(1)/(T_(P)^(2))=(1)/(T_(1)^(2))+(1)/(T_(2)^(2))`
C. `T_(S)^(2)=T_(1)^(2)+T_(2)^(2)`
D. `sqrt(T_(S))=sqrt(T_(1))+sqrt(T_(2))`.

Answer

B, C