Principle of Superposition of Waves

The video tutorial explains the principle of superposition using wave pulses traveling in opposite directions on a string. It describes how the total displacement is the algebraic sum of individual displacements. The tutorial provides a mathematical explanation and an example involving waves with a phase difference. It concludes with a calculation of the resultant wave using trigonometric relations, highlighting how phase differences affect wave amplitude.

What is the principle of superposition in the context of wave pulses?

• The total displacement is the product of individual displacements.

• The total displacement is the difference between individual displacements.

• The total displacement is the average of individual displacements.

• The total displacement is the algebraic sum of individual displacements.

How is the resultant wave displacement calculated when two waves overlap?

• By adding the displacements of the individual waves.

• By subtracting the displacement of one wave from the other.

• By multiplying the displacements of the individual waves.

• By dividing the displacement of one wave by the other.

What happens to the amplitude of the resultant wave when two waves are in phase?

• The amplitude remains the same.

• The amplitude halves.

• The amplitude becomes zero.

• The amplitude doubles.

What is the phase difference between two waves that are completely out of phase?

• 0

• π/2

• π

• 2π

In the given example, what is the effect of a phase difference of π on the amplitude of the resultant wave?

• The amplitude becomes double.

• The amplitude becomes half.

• The amplitude becomes zero.

• The amplitude becomes maximum.