Statement-1 : A conducting sphere charged upto `50V` is placed at the centre of a conducting shell charged upto `100V` and connected by a wire. All the charge of the shell flows to the sphere
Statement-2: The positive charge always flows from higher to lower potential.

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 statement -1
C. Statement-1 is False, Statement-2 is True
D. Statement-1 is True, Statement-2 is False.

Answer

To analyze the statements provided in the question, let's break down the problem step by step.

### Step 1: Understand the Setup
We have a conducting sphere charged to a potential of 50V placed at the center of a conducting shell charged to a potential of 100V. They are connected by a wire.

**Hint:** Visualize the scenario by drawing a diagram of the sphere inside the shell, indicating their respective potentials.

### Step 2: Determine Charge Flow
When the conducting sphere and shell are connected by a wire, charge will flow between them until they reach the same potential. Since the shell is at a higher potential (100V) compared to the sphere (50V), the charge will flow from the shell to the sphere.

**Hint:** Remember that charge flows from higher potential to lower potential when connected by a conductor.

### Step 3: Analyze Statement 1
Statement 1 claims that "all the charge of the shell flows to the sphere." This is incorrect because while charge will flow from the shell to the sphere, it will not be all the charge. The flow will continue until both the sphere and shell reach the same potential.

**Hint:** Consider the concept of equilibrium in electric potential when charges are allowed to move.

### Step 4: Analyze Statement 2
Statement 2 states that "the positive charge always flows from higher to lower potential." This statement is true. Positive charges are repelled from regions of higher potential and attracted to regions of lower potential.

**Hint:** Recall the behavior of electric fields and how they influence the movement of positive charges.

### Step 5: Conclusion
From the analysis:
- Statement 1 is false because not all charge flows from the shell to the sphere; they will reach the same potential.
- Statement 2 is true because positive charges do flow from higher to lower potential.

**Final Answer:** Statement 1 is false, and Statement 2 is true.