Time period of a spring mass system is T. If this spring is cut into two parts whose lengths are in the ratio 1 : 3 and the some mass is attached to the longer part, the new time period will be :

# Time period of a spring mass system is T. If this spring is cut into two parts whose lengths are in the ratio 1 : 3 and the some mass is attached to the longer part, the new time period will be :

1. A

$\sqrt{\frac{3}{2}}\mathrm{T}$

2. B

$\frac{\mathrm{T}}{\sqrt{3}}$

3. C

$\frac{\sqrt{3}\mathrm{T}}{2}$

4. D

$\sqrt{3}\mathrm{T}$

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For spring kl= constant so spring constant of longer part $\mathrm{k}\text{'}=\frac{4}{3}\mathrm{k}.$