Among the following daily life activities, Bernoulli's theorem is applicable in

Options

A. Uplifting of the air foil
B. Swinging of the cricket ball
C. Spinning of the cricket ball
D. Spray pump used to spray pesticides

Answer

To determine which daily life activities Bernoulli's theorem is applicable to, we will analyze each option provided in the question.

### Step-by-Step Solution:

1. **Understanding Bernoulli's Theorem**:
Bernoulli's theorem states that in a flowing fluid, an increase in the fluid's velocity occurs simultaneously with a decrease in pressure or potential energy. This principle is fundamental in various applications involving fluid dynamics.

2. **Analyzing Each Option**:
- **Option 1: Uplifting of the Airfoil**:
- When an airfoil (like a wing) moves through the air, the shape of the wing causes the air to travel faster over the top surface than the bottom surface. According to Bernoulli's theorem, the pressure on the top surface is lower than on the bottom surface, resulting in lift.
- **Conclusion**: Bernoulli's theorem is applicable here.

- **Option 2: Swinging of the Cricket Ball**:
- When a cricket ball is bowled with spin, it creates a difference in air velocity on either side of the ball. The side with higher velocity experiences lower pressure, causing the ball to swing in the direction of the lower pressure.
- **Conclusion**: Bernoulli's theorem is applicable here.

- **Option 3: Spinning of the Cricket Ball**:
- The spinning of a cricket ball, particularly after it hits the ground, is primarily influenced by impulse and friction rather than fluid dynamics. The change in direction of the ball is not due to Bernoulli's principle.
- **Conclusion**: Bernoulli's theorem is not applicable here.

- **Option 4: Spraying Pump Used to Spray Pesticides**:
- In a spraying pump, the fluid is forced through a nozzle, which increases its velocity and decreases its pressure, allowing the liquid to be atomized into fine droplets. This principle is a direct application of Bernoulli's theorem.
- **Conclusion**: Bernoulli's theorem is applicable here.

3. **Final Conclusion**:
The activities where Bernoulli's theorem is applicable are:
- Uplifting of the airfoil
- Swinging of the cricket ball
- Spraying pump used to spray pesticides
- The only activity where Bernoulli's theorem is not applicable is the spinning of the cricket ball.

### Summary of Applicable Options:
- **Applicable**: Uplifting of the airfoil, Swinging of the cricket ball, Spraying pump used to spray pesticides.
- **Not Applicable**: Spinning of the cricket ball.