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Standard XII

Physics

Flux as the Flow

Two charges o...

Question

Two charges of equal magnitude $q$ are placed at a distance $2 a$ . Another charge $q$ of mass $m$ , is placed midway between the two charges on $X - a x i s$ . If this charges is displaced from equilibrium state to a distance $x (x << a)$ , then the particle.

Will execute simple harmonic motion about equilibrium position

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Will be oscillating about equilibrium position but will not execute simple harmonic motion

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Will not return back to the equilibrium position

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Will stop at equilibrium position

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Solution

The correct option is A Will execute simple harmonic motion about equilibrium position
(i.e., of the same nature as charges at $A$ and $B$ )
If $q^{+}$ is placed at $O$ and disturbed in the axial direction, it will makes SHM. If the central one is of opposite charge, it has to be disturbed in the equatorial direction to produce oscillation. If disturbances are small, it will made S.H.M.
Therefore (a) as $x << a$ (given).

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Two charges of equal magnitude q are placed at a distance 2a. Another charge q of mass m, is placed midway between the two charges on X−axis. If this charges is displaced from equilibrium state to a distance x(x<<a), then the particle.

Two charges of equal magnitude $q$ are placed at a distance $2 a$ . Another charge $q$ of mass $m$ , is placed midway between the two charges on $X - a x i s$ . If this charges is displaced from equilibrium state to a distance $x (x << a)$ , then the particle.