Statement-1 : The coefficient of restitution is less than one for all collision studied under Newton's laws of restituation.
and
Statement-2 : For a perfeclty elastic collision, coefficient of restitution is equal to one .

Options

A. Statement -1 is True, Statement -2 si True , Statement -2 is a correct explanation for Statement -1.
B. Statement -1 is True, Statement -2 si True , Statement -2 is not correct explanation for Statement -1.
C. Satement-1 is True, Statement-2 is Satement-1 is True, Statement-2 is False.
D. Satement-1 is False, Statement-2 is True.

Answer

To solve the given problem, we need to analyze both statements regarding the coefficient of restitution and determine their validity and relationship.

### Step 1: Understand the Coefficient of Restitution
The coefficient of restitution (e) is a measure of how elastic a collision is. It is defined as the ratio of the relative velocity of separation to the relative velocity of approach between two colliding bodies.

### Step 2: Analyze Statement 1
**Statement 1:** "The coefficient of restitution is less than one for all collisions studied under Newton's laws of restitution."

- The coefficient of restitution can take values from 0 to 1:
- e = 0 for perfectly inelastic collisions (the bodies stick together).
- 0 < e < 1 for partially elastic collisions.
- e = 1 for perfectly elastic collisions (the bodies bounce off without losing kinetic energy).

Thus, Statement 1 is **true** because while the coefficient of restitution can be less than one, it can also be equal to one for perfectly elastic collisions.

### Step 3: Analyze Statement 2
**Statement 2:** "For a perfectly elastic collision, the coefficient of restitution is equal to one."

- This statement is also true. In perfectly elastic collisions, kinetic energy is conserved, and the relative velocity of separation is equal to the relative velocity of approach, resulting in e = 1.

### Step 4: Determine the Relationship Between the Statements
While both statements are true, Statement 2 does not serve as a correct explanation for Statement 1. Statement 1 refers to all types of collisions, while Statement 2 specifically addresses only perfectly elastic collisions.

### Conclusion
- Statement 1 is true.
- Statement 2 is true.
- However, Statement 2 does not correctly explain Statement 1.

Thus, the correct option is **B**: Both statements are true, but Statement 2 is not the correct explanation for Statement 1.