STATEMENT -1 : In non - uniform circular motion acceleration of a particles is along the tangent of the circle .
STATEMENT -2 : In uniform circular motion acceleration of a particle is zero .
STATEMENT -3 : In no - uniform circular motion acceleration of a particle is towards the centre of the circle.

Options

A. ` T "T "T`
B. `T " T "F`
C. `F" F "F`
D. `F" T "T`

Answer

To analyze the given statements regarding circular motion, we will evaluate each statement one by one and determine their validity.

### Step 1: Evaluate Statement 1
**Statement 1**: In non-uniform circular motion, the acceleration of a particle is along the tangent of the circle.

- In non-uniform circular motion, the speed of the particle is not constant. This means that there is a tangential component of acceleration (denoted as \( a_t \)) that is responsible for the change in speed.
- However, there is also a centripetal acceleration (denoted as \( a_c \)) that acts towards the center of the circular path.
- Therefore, the total acceleration is a combination of both the tangential and centripetal components, and it does not lie solely along the tangent. It will be at an angle between the radial direction (towards the center) and the tangential direction.

**Conclusion**: Statement 1 is **False**.

### Step 2: Evaluate Statement 2
**Statement 2**: In uniform circular motion, the acceleration of a particle is zero.

- In uniform circular motion, the speed of the particle remains constant, which means that the tangential acceleration (\( a_t \)) is zero (since there is no change in speed).
- However, there is still centripetal acceleration (\( a_c \)) acting towards the center of the circular path, which is given by \( a_c = \frac{v^2}{r} \), where \( v \) is the constant speed and \( r \) is the radius of the circle.
- Thus, while the tangential acceleration is zero, the centripetal acceleration is not zero.

**Conclusion**: Statement 2 is **False**.

### Step 3: Evaluate Statement 3
**Statement 3**: In non-uniform circular motion, the acceleration of a particle is towards the center of the circle.

- As previously discussed, in non-uniform circular motion, there are two components of acceleration: tangential acceleration (\( a_t \)) and centripetal acceleration (\( a_c \)).
- The centripetal acceleration does indeed act towards the center of the circle, but the tangential acceleration acts along the tangent to the path.
- Therefore, the resultant acceleration is not solely directed towards the center; it has components in both the radial and tangential directions.

**Conclusion**: Statement 3 is **False**.

### Final Conclusion
All three statements are **False**.