# Starting from the extreme position, the time taken by an ideal simple pendulum to travel a distance of half of the amplitude is Option 1) T/6 Option 2) T/12 Option 3) T/13 Option 4) T/4

As discussed in

Phase -

The quantity $\phi = wt+\delta$ is called the phase . It determines the status of the particle in simple harmonic motion.

- wherein

e.g.

$x= A\sin \left ( wt +\delta \right )\rightarrow$ phase

$x=\cos \omega t = \frac{A}{2}=A\cos \omega t$

$\frac{1}{2} = \cos \omega t = \omega t = \frac{\pi }{3}$

$\frac{2\pi }{T} t = \frac{\pi }{3} = t = T/6$

Option 1)

T/6

This solution is correct.

Option 2)

T/12

This solution is incorrect.

Option 3)

T/13

This solution is incorrect.

Option 4)

T/4

This solution is incorrect.

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