Two indentical springs each of force constant k are connected in series and support mass m. Calculate time period of the system

Explanation

For series combination, the effective force constant is,
`k_(s)=(kxxk)/(k+k)=(k^(2))/(2k)=(k)/(2)`
`:. T_(s)\= 2pi sqrt((m)/(k_(s)))= 2pi sqrt((m)/(k//2))`