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Oscillations question bank (Physics)

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Q1.

If the maximum velocity in S.H.M. is 'V' then the average velocity during motion from one extreme to other extreme position will be

(A)

$\dfrac{V}{\pi}$

(B)

$\dfrac{2V}{\pi}$

(C)

$\dfrac{4V}{\pi}$

(D)

$\dfrac{8V}{\pi}$

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Q2.

A simple pendulum having length $l$ and mass 'm' is suspended between two plates having uniform electric field 'E' as shown in figure. The bob is given a charge $q$. The time period 'T' of its vibration is

(A)

$2\pi\sqrt{\dfrac{l}{g - \dfrac{Eq}{m}}}$

(B)

$2\pi\sqrt{\dfrac{l}{g + \dfrac{Eq}{m}}}$

(C)

$2\pi\sqrt{\dfrac{l}{\left[g^2 - \left(\dfrac{Eq}{m}\right)^2\right]^{1/2}}}$

(D)

$2\pi\sqrt{\dfrac{l}{g}}$

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