If P represents linear momentum , K represents kinetic energy and T temperature, then quantities remaining constant in collision are

Options

A. P,K and T
B. P only
C. K and T
D. T only

Explanation

To solve the question regarding which quantities remain constant in a collision, we will analyze the concepts of linear momentum, kinetic energy, and temperature in the context of collisions.

### Step-by-Step Solution:

1. **Understanding Collisions**:
- In physics, collisions can be classified into two main types: elastic and inelastic. In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, momentum is conserved, but kinetic energy is not.

2. **Linear Momentum (P)**:
- Linear momentum is defined as the product of mass and velocity (P = mv). In a closed system where no external forces act, the total linear momentum before the collision is equal to the total linear momentum after the collision. Therefore, linear momentum is conserved in both elastic and inelastic collisions.

3. **Kinetic Energy (K)**:
- Kinetic energy is given by the formula K = (1/2)mv². In elastic collisions, kinetic energy is conserved. However, in inelastic collisions, some kinetic energy is transformed into other forms of energy (like heat or sound), meaning kinetic energy is not conserved.

4. **Temperature (T)**:
- During a collision, especially inelastic collisions, some of the kinetic energy is converted into thermal energy, which can increase the temperature of the colliding bodies. Therefore, temperature is not conserved in a collision.

5. **Conclusion**:
- From the analysis, we conclude that in a collision, the quantity that remains constant is linear momentum (P). Kinetic energy (K) is not conserved, and temperature (T) generally increases due to the conversion of kinetic energy to thermal energy.

### Final Answer:
The quantity remaining constant in a collision is **linear momentum (P)**.