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Pure Rotation about an Axis

A rod is hing...

Question

A rod is hinged (free to rotate) at its center O as shown in figure.Two point charges +q and +q are kept at its two ends. Rod is placed in uniform electric field E ' as shown. Space is gravity free. Choose the correct option/s.

A

Net force from the hinge on the rod is zero

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B

Net force from the hinge on the rod is leftwards

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C

Equilibrium of rod is neutral

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D

Equilibrium of rod is stable

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Solution

The correct options are
B Net force from the hinge on the rod is leftwards
C Equilibrium of rod is neutral
Here the net force $F_{n} = q E + q E = 2 q E$ so net force is towards the electric field i.e leftwards .
Here the rod is displaced little bit left side due to electrostatic force but can not come back and it will rest there. This type of equilibrium is known as neutral .

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