Practice Dimensional Homogeneity - 13.1.1 | 13. Dimensional Homogeneity | Fluid Mechanics - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What are the fundamental dimensions used in fluid mechanics?

💡 Hint: Think of basic measurements.

Question 2

Easy

Define dimensional homogeneity.

💡 Hint: Consider what happens if units don’t match.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does dimensional homogeneity ensure in an equation?

  • All terms have the same dimension
  • All terms are zero
  • All terms equal unity

💡 Hint: Think about the relationship of units.

Question 2

True or False: The Reynolds number is a dimensionless quantity.

  • True
  • False

💡 Hint: Think about its role in fluid dynamics.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a system with three dependent variables: pressure (p), velocity (V), and dynamic viscosity (μ). Using Buckingham’s Pi theorem, find the number of dimensionless groups.

💡 Hint: Count variables and use the theorem.

Question 2

If the drag force on a cylinder depends on its diameter, fluid velocity, density, and viscosity, describe how you would form a dimensionless group.

💡 Hint: Focus on balancing out units.

Challenge and get performance evaluation