Electric Rotation

A point particle of mass $M$ is attached to one end of a massless rigid non conducting rod of length $L$ another point particle of same mass is attached to another end of rod.The two particles carry charge $+q$ and $-q$ .this arrangement is held in a uniform electric field $E$ such that rod makes a small angle (say of about 5 degrees) with the field direction.The minimum time required for the rod to become parallel to the electric field after it is set free is $T$ . Assume the space is gravity free.

If $T$ can be written as $T = \left(\dfrac {\beta \pi^\alpha ML}{\gamma qE} \right)^\delta$ , find $\alpha + \beta + \gamma +\delta$ .

Details:

1. $\alpha$ , $\beta$ , $\gamma$ , $\delta$ are rational numbers (some may be integers).
2. $\beta$ and $\gamma$ are in their simplest form.
3. $\alpha$ and $\delta$ are in their simplest form.
4. The expression is raised to the power $\delta$ .
5. It is $π$ raised to the power $\alpha$ .

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Problem taken from IITJEE 1989.