Mastering Dimensional Formulas in Physics

This video tutorial introduces a simple trick to derive dimensional formulas for various physical quantities. It covers basic units of mass, length, time, and current, and demonstrates how to find the dimensional formulas for velocity, acceleration, force, pressure, stress, modulus of elasticity, work, energy, torque, resistance, reactance, and impedance. The tutorial emphasizes the importance of understanding these formulas for solving both easy and hard level questions in physics.

What is the dimensional formula for velocity?

• M^0 L T^-1

• M L T^-2

• M L^2 T^-2

• M L^-1 T^-2

Acceleration is defined as the change in velocity over time. What is its dimensional formula?

• M L^2 T^-2

• M L T^-2

• L T^-2

• L T^-1

Which of the following represents the dimensional formula for force?

• M L^2 T^-2

• M L T^-2

• M^0 L T^-1

• M L^-1 T^-2

Pressure and stress share the same dimensional formula. What is it?

• M^0 L T^-1

• M L^2 T^-2

• M L^-2 T^-2

• M L^-1 T^-2

What is the dimensional formula for modulus of elasticity?

• M^0 L T^-1

• M L^2 T^-2

• M L^-2 T^-2

• M L^-1 T^-2

Work and energy have the same dimensional formula. What is it?

• M L T^-2

• M L^2 T^-2

• M L^-1 T^-2

• M^0 L T^-1

Torque is the cross product of force and distance. What is its dimensional formula?

• M L^-1 T^-2

• M^0 L T^-1

• M L^2 T^-2

• M L T^-2

Which of the following is the dimensional formula for kinetic energy?

• M L T^-2

• M L^2 T^-2

• M L^-1 T^-2

• M^0 L T^-1

What is the dimensional formula for resistance?

• M L^2 T^-3 A^-2

• M^0 L T^-1

• M L^2 T^-2

• M L^-1 T^-2

Which of the following represents the dimensional formula for angular velocity?

• M^0 L^0 T^-1

• M L^2 T^-2

• M L T^-2

• M L^-1 T^-2