STATEMENT-1: When a particle is thrown obliquely form the surfcae of the Earth, ity always moves in a parabolic path, provided the air resistance is negligible.
STATEMENT-2: A projectile motion is a two dimensional motion.

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true.

Answer

To solve the given problem, we need to analyze both statements provided in the question and determine their validity.

### Step 1: Analyze Statement 1
**Statement 1:** "When a particle is thrown obliquely from the surface of the Earth, it always moves in a parabolic path, provided the air resistance is negligible."

- A particle thrown obliquely means it is projected at an angle to the horizontal. In the absence of air resistance, the only force acting on the particle after it is thrown is gravity, which acts downward.
- The horizontal motion is uniform (constant velocity) since there is no horizontal acceleration (ax = 0).
- The vertical motion is uniformly accelerated due to gravity (ay = -g, where g is the acceleration due to gravity).
- The combination of uniform horizontal motion and uniformly accelerated vertical motion results in a parabolic trajectory.

**Conclusion for Statement 1:** This statement is true under the condition that air resistance is negligible.

### Step 2: Analyze Statement 2
**Statement 2:** "A projectile motion is a two-dimensional motion."

- Projectile motion involves movement in both the horizontal (x-axis) and vertical (y-axis) directions simultaneously.
- The horizontal and vertical motions are independent of each other, but they occur simultaneously, which characterizes the motion as two-dimensional.

**Conclusion for Statement 2:** This statement is also true.

### Step 3: Determine the Relationship Between the Statements
Now we need to determine if Statement 2 provides a correct explanation for Statement 1.

- Statement 1 describes the nature of the path of a projectile, while Statement 2 describes the dimensionality of the motion.
- Since the parabolic path of the projectile (Statement 1) is a result of the two-dimensional nature of the motion (Statement 2), we can conclude that Statement 2 does indeed explain Statement 1.

### Final Conclusion
- Statement 1 is true.
- Statement 2 is true and provides a correct explanation for Statement 1.

### Answer
Thus, the correct answer is that Statement 1 is true, Statement 2 is true, and Statement 2 is the correct explanation of Statement 1.

---