8.4, 8.1 Diffraction Grating, Stationary Waves

Formula

dsin = nlambda

constructive

For dsinθ = nλ:
> d = spacing between adj. s__
> θ = ang between 0th and _th order of maxima
> n = o__ of maxima
> λ = wavelength

slits, n, order

Slit spacing formula

d = 1/N

For d = 1/N,
> N = l__ p__ mm/cm

lines per

Highest order of maxima is when θ = __
> thus d = nλ, rearr for n
> n must be w__, so round __

90, whole, down

Node is when amplitude =

0

Antinode is when amplitude =

max

node

antinode

Stationary waves are formed when _ i__ w__ t__ i_ o__ d__ m__

2 identical waves travelling in opp directions meet

Is energy transferred in stationary waves?

no

Phase diff between adj loops (same axis) = __

Phase diff between adj nodes (diff axis) = __

0, 180

L = __
f = __ x f₀

1/2 lambda, 1

L = __
f = __ x f₀

lambda, 2

L = __
f = __ x f₀

3/2 lambda, 3

__ harmonic (f__)
L = __
f = __ x f₀

1st, fundamental, 1/4 lambda, 1

__ harmonic
L = __
f = __ x f₀

3rd, 3/4 lambda, 3

__ harmonic
L = __
f = __ x f₀

5th, 5/4 lambda, 5

For stationary waves → container w/ 1 end, harmonic # must be __

odd

If 2 fixed ends OR no fixed ends, each new harmonic = +__λ

1/2

__ ends

no

>R__ can be moved to vary p__
>D__ can be moved to pick up m__ (nodes) & maxima (antinodes)

reflector, pattern, detector, minima

As __ changes, diff. # of minima & m__ form

f, maxima

>Place loud speaker at __ end of column
>At specific __, the powder s__ evenly apart = no d__ (0 amplitude) at n__

open, f, spreads, disturbance, nodes

phase diff =

0

phase diff =

180