The time period of 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

Question

Toppr Admin · Accepted Answer

The correct option is C T2T-2-x3C0-x221A-mkWhen the spring is cut into four equal parts- the spring constant of one part will becomes 4k- therefore the new time period will becomeT-x2032-2-x3C0-x221A-mk-x2032-T-2-x3C0-x221A-m4k-xA0-T-x2032-T2

The time period of 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
$\frac{T}{4}$
$T$
$\frac{T}{2}$
$2 T$

The correct option is C $\frac{T}{2}$
$T = 2 π \sqrt{\frac{m}{k}}$

When the spring is cut into four equal parts, the spring constant of one part will becomes 4k, therefore the new time period will become

$T^{'} = 2 π \sqrt{\frac{m}{k^{'}}}$

$T = 2 π \sqrt{\frac{m}{4 k}}$

$T^{'} = \frac{T}{2}$

The time period of 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 beT4TT22T

The correct option is C T2T=2π√mkWhen the spring is cut into four equal parts, the spring constant of one part will becomes 4k, therefore the new time period will becomeT′=2π√mk′T=2π√m4k T′=T2

The time period of 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
$\frac{T}{4}$
$T$
$\frac{T}{2}$
$2 T$