Three arrangements of spring - mass system are shown in figures (A), (B) and ( C). If `T_(1)`, `T_(2)` and `T_(3)` represent the respective periods of oscillation, then correct relation is

Options

A. `T_(1) gt T_(2) gt T_(3)`
B. `T_(3) gt T_(2) gtT_(1)`
C. `T_(2) gt T_(1) gt T_(3)`
D. `T_(2) gt T_(3) gt T_(1)`

Answer

C

Explanation

In solved example, we have shown that
`T_(1) = 2pi sqrt((m)/(k))`
`T_(2) = 2pi sqrt ((4m)/(k))`
and `T_(3) = 2pi sqrt ((m)/(4k))`