Optics and Waves

Question 1

Wave equation

Answer 1

Question 2

Wave equation solution

Answer 2

Question 3

wave number

Answer 3

k = 2π/λ

Question 4

Period relationship to frequency

Answer 4

T = 2π/ω

Question 5

Angular frequency relationship to frequency

Answer 5

ω = 2πf

Question 6

Phase velocity

Answer 6

ω/k

Velocity of an individual wave crest

Question 7

Group velocity

Answer 7

dω/dk

Speed at which information is transmitted

Question 8

Speed of a wave in a string

Answer 8

Question 9

angular frequency and wave number relationship to the speed of light

Answer 9

ω/k = c/n

Question 10

Wavelength of light in a medium

Answer 10

λ/n

Question 11

Transmitted intensity of polarized light incident on a polarizer

Answer 11

I=I₀cos²θ

Question 12

Constructive interference

Answer 12

δ = 2nπ

Question 13

Brewster’s angle

Answer 13

Question 14

Destructive interference

Answer 14

δ = (2n+1)π

Question 15

Phase

Answer 15

δ = kΔx

Question 16

Phase shift in a thin film if n₂ > n₁

Answer 16

π

Question 17

Phase shift in a thin film if n₂ < n₁

Answer 17

0

Question 18

Resolution, i.e. Rayleigh criterion

Answer 18

Dsinθ = 1.22 λ

Question 19

Maxima in Bragg diffraction

Answer 19

dsinθ=nλ/2

Question 20

Snell’s law

Answer 20

n₁sinθ₁ = n₂sinθ₂

Question 21

Geometric optics equation

Answer 21

Question 22

Focal length of a spherical mirror

Answer 22

f = R/2

Question 23

Lensemaker’s equation

Answer 23

Question 24

Regular Doppler shift

Answer 24

Question 25

Constructive interference in a thin film

Answer 25

mλ/n = 2d if there is no phase shift (m+1/2) λ/n = 2d if there is a phase shift

Question 26

Frequency of light in a medium

Answer 26

The frequency of light in a medium does not change

Question 27

Harmonic frequencies in an open-closed pipe

Answer 27

Question 28

Harmonic frequencies in an open-open pipe

Answer 28

Question 29

Resolving power

Answer 29

λ/Δλ

Question 30

Single slit diffraction

Answer 30

Question 31

Transmitted intensity of unpolarized light incident on a polarizer

Answer 31

I₀/2