Statement-1 : If two concentric conducing sphere which are connected by a conducting wire. No charge can exist on inner sphere.
Statement-2: When charge on outer sphere will exist then potential of inner shell and outer shell will be same.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation of statement 1
B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation of statement 1
C. Statement-1 is False, Statement-2 is True
D. Statement-1 is True, Statement-2 is False.

Answer

To solve the question, we need to analyze both statements regarding the behavior of two concentric conducting spheres connected by a conducting wire.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- Statement 1 claims that if two concentric conducting spheres are connected by a conducting wire, no charge can exist on the inner sphere.
- According to the properties of conductors, the electric field inside a conductor in electrostatic equilibrium is zero. This implies that any excess charge resides on the surface of the conductor.
- Since the inner sphere is connected to the outer sphere via a conducting wire, any charge that might be present on the inner sphere would redistribute to the outer sphere. Therefore, the inner sphere cannot hold any charge.
- **Conclusion**: Statement 1 is true.

**Step 2: Analyze Statement 2**
- Statement 2 states that when charge exists on the outer sphere, the potential of the inner shell and the outer shell will be the same.
- The potential inside a conductor is constant and equal to the potential on its surface. Since the inner sphere has no charge, its potential is constant and equal to zero (assuming it is uncharged).
- The outer sphere, when charged, will have a potential that depends on its charge and radius. The potential at a point outside a charged sphere is given by \( V = \frac{kQ}{r} \), where \( Q \) is the charge on the outer sphere and \( r \) is the distance from the center.
- Since the outer sphere has charge, its potential will not be zero and will differ from the potential of the inner sphere.
- **Conclusion**: Statement 2 is false.

### Final Conclusion:
- Statement 1 is true, and Statement 2 is false.