**Problem Statement**
Two tiny spheres, each of mass M and having charges q and -q, are connected by a massless rod of length L. They are placed in a uniform electric field at an angle theta with E. Calculate the minimum time in which the system aligns itself parallel to E.

**Solution**
When the system is placed in an electric field at an angle theta with E, the charges experience a torque that tries to align them with the E field. The system will keep rotating until the torque is balanced by the moment of inertia of the system. The minimum time required for the system to align itself parallel to E can be calculated using the following steps:

**Step 1: Calculate the torque on the system**

The torque on the system can be calculated using the following formula:

τ = r × F

where r is the vector from the center of mass of the system to the point of application of force and F is the force acting on the system. In this case, the force is the electric force acting on the charges. The torque can be expressed as:

τ = qELsinθ

where E is the magnitude of the electric field and θ is the angle between the electric field and the rod.

**Step 2: Calculate the moment of inertia of the system**

The moment of inertia of the system can be calculated using the formula:

I = 2MR²/5

where M is the mass of each sphere and R is the distance between the center of mass and the end of the rod. R can be calculated using the formula:

R = L/√3

**Step 3: Calculate the minimum time**

The minimum time required for the system to align itself parallel to E can be calculated using the formula:

t = (π/2)√(I/τ)

Substituting the values of I and τ, we get:

t = 2.27√(MqEL/5)

Therefore, the minimum time required for the system to align itself parallel to E is 2.27 times the square root of the product of the mass, charge, electric field, and rod length divided by 5.

**Conclusion**
In conclusion, the minimum time required for the system to align itself parallel to E can be calculated using the formula t = 2.27√(MqEL/5). This problem highlights the concept of torque and moment of inertia in rotational motion and can be solved using basic principles of physics.