A small bob attached to a light inextensible thread of length l has a periodic time T when allowed to vibrate as a simple pendulum. The thread is now suspended from a fixed end O of a vertical rigid rod of length (3 l/4) (as in figure). If now the pendulum performs periodic oscillations in this arrangement, the periodic time will be

Question

A small bob attached to a light inextensible thread of length l has a periodic time T when allowed to vibrate as a simple pendulum. The thread is now suspended from a fixed end O of a vertical rigid rod of length (3 l/4) (as in figure). If now the pendulum performs periodic oscillations in this arrangement, the periodic time will be (A) (3 T /4) (B) (T/2) (C) T (D) 2 T

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f775a3031a9c2d81e6986d7c3bd47811-.png" /> T prime=2(( T /8)+( T /4))

$\frac{3 T}{4}$

$\frac{T}{2}$

$T$

$2 T$

$T^{'} = 2 (\frac{T}{8} + \frac{T}{4})$

43T​

2T​

T

2T

T′=2(8T​+4T​)

$\frac{3 T}{4}$

$\frac{T}{2}$

$T$

$2 T$

$T^{'} = 2 (\frac{T}{8} + \frac{T}{4})$