The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be :

The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be :

A
$\frac{T}{4}$
B
$\frac{T}{2}$
C
$T$
D
$2 T$

Solution:

$k' = 4 k and T = 2 π \sqrt{\frac{m}{k}} \Rightarrow T' = \frac{T}{2}$

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