Assertion : When two charged spheres are connected to each other by a thin conducting wire, charge flow bigger sphere to smaller sphere, if initial charges on them are same.
Reason : Electrostatic potential energy will be lost in redistribution of charges.

Options

A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Answer

To solve the given problem, we need to analyze the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that when two charged spheres are connected by a thin conducting wire, charge flows from the bigger sphere to the smaller sphere if the initial charges on them are the same.
- We need to evaluate whether this statement is true or false.

2. **Analyzing Charge Distribution**:
- When two spheres are connected, charge will redistribute until they reach the same electrostatic potential.
- The potential \( V \) of a charged sphere is given by the formula:
\[ V = \frac{kQ}{R} \]
where \( k \) is Coulomb's constant, \( Q \) is the charge, and \( R \) is the radius of the sphere.
- Since the spheres have the same charge initially, the sphere with a larger radius (bigger sphere) will have a lower potential compared to the smaller sphere.

3. **Direction of Charge Flow**:
- Charge flows from a region of higher potential to a region of lower potential.
- Since the smaller sphere has a higher potential (due to its smaller radius), the charge will actually flow from the smaller sphere to the bigger sphere, not the other way around.

4. **Conclusion on Assertion**:
- Therefore, the assertion is **false** because it incorrectly states that charge flows from the bigger sphere to the smaller sphere.

5. **Understanding the Reason**:
- The reason states that electrostatic potential energy will be lost during the redistribution of charges.
- When charges redistribute, they move to minimize the potential energy of the system. This is a fundamental principle in electrostatics.

6. **Evaluating the Reason**:
- The potential energy of a system decreases when charges move to equalize potential across connected conductors.
- Thus, the reason is **true** because the redistribution of charge indeed results in a decrease in electrostatic potential energy.

### Final Evaluation:
- The assertion is false, and the reason is true. Therefore, the correct conclusion is that the assertion does not support the reason.