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#### Question

Define an ideal simple pendulum. Show that, under certain · conditions, simple pendulum performs linear simple harmonic motion.

#### Solution

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When the length of a simple pendulum is decreased by 20 cm, the period changes by 10%. Find the original length of the pendulum.

The period of a conical pendulum in terms of its length (l), semivertical angle (θ) and acceleration due to gravity (g) is:

(a)`1/(2pi)sqrt((l costheta)/g)`

(b)`1/(2pi)sqrt((l sintheta)/g)`

(c)`4pisqrt((lcostheta)/(4g))`

(d)`4pisqrt((l tantheta)/g)`

The phase difference between displacement and acceleration of a particle performing S.H.M. is _______.

(A) `pi/2rad`

(B) π rad

(C) 2π rad

(D)`(3pi)/2rad`

If the metal bob of a simple pendulum is replaced by a wooden bob of the same size, then its time period will.....................

- increase
- remain same
- decrease
- first increase and then decrease.