Answer
$f=0.59Hz$
$T=1.7s$
Work Step by Step
The required frequency can be determined as
$f=\frac{1}{2\pi}\sqrt{\frac{K}{m}}$
We plug in the known values to obtain:
$f=\frac{1}{2\pi}\sqrt{\frac{26000}{1900}}$
$\implies f=0.59Hz$
Now, we can find the time period as:
$T=\frac{1}{f}$
$\implies T=\frac{1}{0.59}$
$T=1.7s$