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$T$
B$\frac{T}{2}$
C$2 T$
D$\frac{T}{4}$
AIPMT 2003, Easy
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B$\frac{T}{2}$
b (b)By cutting spring in four equal parts force constant (K) of each parts becomes four times so by using $T = 2\pi \sqrt {\frac{m}{K}} ;$ time period will be half i.e. $T' = T/2$
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