Wave Motion

Question 1

What the the two types of waves ?

Answer 1

Transverse waves and longitudinal waves

Question 2

What an you say about transverse waves ?

Answer 2

Transverse wave is the one in which the oscillations of y are perpendicular to wave velocity. Electromagnetic waves are transverse in nature.

Question 3

What can you say about longitudinal waves ?

Answer 3

A longitudinal wave is the one in which oscillations o u are parallel to the wave velocity. Sound Waves are longitudinal in nature.

Question 4

What is the general eq of wave motion ?

Answer 4

y=f(ax±bt)

Question 5

What is the formula of wave speed ?

Answer 5

Wave speed v = coefficient of t/ coefficient of x= b/a

Question 6

What is the formula of angular frequency ω?

Answer 6

T= 2π/ω
ω=2πf
f=1/T =ω/2π

Question 7

What is the formula of wave number k?

Answer 7

Wave number k= 2π/λ

where λ=wave length.

Question 8

What is the formula of wave speed ?

Answer 8

Wave speed v = ω/k= fλ

Question 9

What is the phase difference of one particle at a time interval ?

Answer 9

Δδ=ω(t1~t2)

Δδ=2π/T * ΔT

Question 10

What is the phase difference at one time between two particles at a path difference of delta x?

Answer 10

Δδ= 2π/λ . Δx

Question 11

What is the formula of energy density u?

Answer 11

Energy density u= 1/2pω²Α²= energy of oscillations per unit volume

Question 12

What is the formula of power P of wave motion?

Answer 12

Power P = 1/2pω²Α²Sv= energy transferred per unit time

Question 13

What is the formula of intensity in wave motion ?

Answer 13

Intensity I= 1/2pω²Α² v= energy transferred per unit time per unit area

Question 14

What is the phase difference of longitudinal wave ?

Answer 14

π/2

Question 15

What is the speed of transverse wave on a stretched wire v?

Answer 15

v =

√T/μ=√T/pS

Question 16

What is the speed v of longitudinal wave ?

Answer 16

v = (E/p)^1/2

Question 17

What is the Young’s modulus of elasticity in solids?

Answer 17

In solids , E=Y= Young’s modulus of elasticity

v= (Y/p)^1/2

Question 18

What is the adiabatic bulk modulus of elasticity according to Laplace correction ?

Answer 18

v=

√γRT/M

Question 19

What is the effect of temperature , pressure and relative humidity in speed of sound in air or in gas ?

Answer 19

With temperature v≈√T
Pressure has no effect as long as temperature remains constant and with increase in relative humidity , air density extended and speed of sound increases.