Dimensional analysis is a powerful tool that helps us understand the relationships between different physical quantities and their units. By mastering this technique, you can simplify complex problems and ensure your calculations are accurate. Let’s see how well you can apply dimensional analysis to various scenarios!

We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂

## Dimensional Analysis Quiz Questions Overview

### 1. What is the primary purpose of dimensional analysis?

To convert units

To check the consistency of equations

To derive formulas

All of the above

### 2. Which of the following is the correct dimensional formula for force?

M L T^-2

M L T^-1

M L^2 T^-2

M L^-1 T^-2

### 3. If the dimensions of velocity are [L T^-1], what are the dimensions of acceleration?

L T^-2

L T^-1

L^2 T^-2

L^-1 T^-2

### 4. Which of the following quantities is dimensionless?

Reynolds number

Velocity

Force

Energy

### 5. What is the dimensional formula for work?

M L^2 T^-2

M L T^-2

M L^2 T^-1

M L^-1 T^-2

### 6. Which of the following is NOT a fundamental dimension in dimensional analysis?

Length

Time

Temperature

Velocity

### 7. What is the dimensional formula for pressure?

M L^-1 T^-2

M L T^-2

M L^2 T^-2

M L^-2 T^-2

### 8. How can dimensional analysis help in deriving a formula?

By ensuring dimensional consistency

By providing numerical values

By simplifying calculations

By converting units

### 9. What is the dimensional formula for kinetic energy?

M L^2 T^-2

M L T^-2

M L^2 T^-1

M L^-1 T^-2

### 10. Which of the following is an example of a derived unit?

Meter

Second

Newton

Kilogram

We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂