Waves

Question 1

Eqn of a progressive wave

Answer 1

y = A sin(kx - ωt + Φ)

Question 2

Intensity of a wave

Answer 2

• I ∝ A²
• I ∝ 1/d²

A: amplitude
d: distance between source and listener

Question 3

Velocity of sound wave and density relation

Answer 3

• V = √ (B/ρ)

As density of medium increases, velocity of wave in medium decreases

B: bulk modulus of medium
ρ: density of medium

Question 4

Propagation of a sound wave is a ______ process

Answer 4

Adiabatic

Question 5

Velocity of sound (Laplace eqn)

Answer 5

V = √ (γP/ρ)

P: pressure
ρ: density

Question 6

Velocity is independent of _______ of the medium

Answer 6

Velocity is independent of the pressure of the medium. Becuz as P changes, ρ proportionally changes.

V = √ (γP/ρ)

Question 7

Velocity of wave and temperature relation

Answer 7

V ∝ √T

T: absolute temperature
*As temp↑, velocity of wave ↑

Question 8

Equation of standing wave

Answer 8

y= (2Asinkx)cosωt

-(2Asinkx) : amplitude of stationary wave

Question 9

Distance between successive nodes or antinodes in a standing wave

Answer 9

λ/2

Question 10

Distance from a node to the next antinode in a stationary wave

Answer 10

λ/4