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

 

Answers (1)

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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