STATEMENT-1`:` Time period of a simple pendulum changes when the solid bob is replaced by a hollow sphere of same radius but difference mass
and
STATEMENT-2 `:` The time period of a simple pendulum depends on force acting on bob per unit mass dueto the earth.

Answer

To analyze the statements provided in the question, we will evaluate each statement step by step.

### Step 1: Understanding Statement 1
Statement 1 claims that the time period of a simple pendulum changes when a solid bob is replaced by a hollow sphere of the same radius but different mass.

**Analysis**:
The time period \( T \) of a simple pendulum is given by the formula:
\[ T = 2\pi \sqrt{\frac{L}{g}} \]
where \( L \) is the length of the pendulum and \( g \) is the acceleration due to gravity.

**Key Point**: The formula shows that the time period \( T \) depends only on the length \( L \) and the acceleration due to gravity \( g \). It does not depend on the mass of the bob. Therefore, replacing a solid bob with a hollow sphere of the same radius (but different mass) does not change the time period.

### Conclusion for Statement 1:
**Statement 1 is false**.

### Step 2: Understanding Statement 2
Statement 2 states that the time period of a simple pendulum depends on the force acting on the bob per unit mass due to the Earth.

**Analysis**:
The force acting on the bob due to gravity is given by \( F = mg \), where \( m \) is the mass of the bob and \( g \) is the acceleration due to gravity. The force per unit mass is:
\[ \frac{F}{m} = g \]
Since the time period formula \( T = 2\pi \sqrt{\frac{L}{g}} \) includes \( g \), it indicates that the time period does indeed depend on the gravitational force acting on the bob per unit mass.

### Conclusion for Statement 2:
**Statement 2 is true**.

### Final Conclusion:
- **Statement 1**: False
- **Statement 2**: True

### Summary:
The correct option is that Statement 1 is false and Statement 2 is true.

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