Kinetic energy of a body is independent of ………..

Options

A. force applied
B. time for which force is applied
C. elasticity of the body
D. none of the above

Explanation

To solve the question "Kinetic energy of a body is independent of ………..", we need to analyze the options provided and understand the concept of kinetic energy.

### Step-by-Step Solution:

1. **Understanding Kinetic Energy**:
Kinetic energy (KE) is defined as the energy that a body possesses due to its motion. The formula for kinetic energy is given by:
\[ KE = \frac{1}{2} mv^2 \]
where \( m \) is the mass of the body and \( v \) is its velocity.

2. **Analyzing the Options**:
The options provided are:
- A) Force applied
- B) Time for which force is applied
- C) Elasticity of the body
- D) None of the above

3. **Option A - Force Applied**:
The force applied to a body affects its acceleration and, consequently, its velocity. Since kinetic energy depends on velocity, the kinetic energy is influenced by the force applied.

4. **Option B - Time for which Force is Applied**:
The time for which a force is applied also affects the change in velocity of the body. More time means more velocity (assuming constant force), thus impacting kinetic energy. Therefore, kinetic energy is influenced by time as well.

5. **Option C - Elasticity of the Body**:
Elasticity refers to the ability of a material to return to its original shape after deformation. However, the kinetic energy of a body does not depend on whether the body is elastic or rigid. The kinetic energy is solely a function of mass and velocity, regardless of the material's elasticity.

6. **Option D - None of the Above**:
This option suggests that all previous options affect kinetic energy, which we have established is not true.

7. **Conclusion**:
Based on the analysis, the correct answer is:
\[ \text{Kinetic energy of a body is independent of elasticity of the body.} \]

### Final Answer:
Kinetic energy of a body is independent of **elasticity of the body**.

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