Question

(a) How many rulings must a 4.03-cm-wide diffraction grating have to resolve the wavelengths 415.574 and 415.490 nm in the second order? (b) At what angle are the second order maxima found?

Answer #1

A diffraction grating has 1 950 rulings/cm. On a screen 1.00 m
from the grating, it is found that for a particular order
m, the maxima corresponding to two closely spaced
wavelengths of sodium (589.0 nm and 589.6 nm) are separated by 0.42
mm. Determine the value of m.
Exact answers with detail please

A grating has 380 rulings/mm and is 5.7 mm wide. (a) What is the
smallest wavelength interval it can resolve in the third order at ?
= 450 nm? (b) How many higher orders of maxima can be seen?

A diffraction grating with 180 slots/mm is illuminated with a
light that contains only two wavelengths 400nm and 500 nm. The
signal has aangle of incidence of 5 °. What is the angular distance
between the second-order maxima of the two wavelengths? What is the
smallest angle at which the two maxima overlap? What is the highest
order at which maximums associated with the two wavelengths are
present in the diffraction pattern?

Suppose that you have a reflection diffraction grating with
n= 105 lines per millimeter. Light from a sodium lamp
passes through the grating and is diffracted onto a distant
screen.
Two visible lines in the sodium spectrum have wavelengths 498
nmand 569 nm. What is the angular separation ?? of the
first maxima of these spectral lines generated by this diffraction
grating?
How wide does this grating need to be to allow you to resolve
the two lines 589.00 and...

You have a diffraction grating with 3000 lines/cm. You also have
a light source that emits light at 2 different wavelengths, 428 nm
and 707 nm, at the same time. The screen for your experiment is 1.5
meters from the diffraction grating.
A. What is the line spacing for the grating?
B. What is the difference in the angle of the 2nd bright fringe
for each wavelength for this grating?
C. Which wavelength is closer to the center of the...

Light of wavelength 600 nm shines on a diffraction grating that
has 400 lines per cm. The light emerging from the grating hits a
screen 50 cm wide so that the central maximum is exactly in the
middle of the screen. Assume that the screen is 3 m from the
grating.
How many maxima appear on the screen?
(a)
4
(b)
6
(c)
7
(d)
5
(e)
3

Light from a Hydrogen lamp is focused through a diffraction
grating with 770 lines/cm and the diffraction pattern is shown on a
screen that is 5.30 m away. You notice in the pattern that there
are two distinct purple dots that are 16.46 cm and 17.70 cm from
the central maximum, corresponding to the first-order maxima for
two different wavelengths of light emitted by the lamp. What is the
difference between the two wavelengths (in nm)
corresponding to these purple...

A grating has a line density of 1090 cm−1,
and a screen perpendicular to the ray that makes the central peak
of the diffraction pattern is 3.5 m from the grating. If
light of two wavelengths, 620 nm and 650 nm,
passes through the grating, what is the separation on the (flat)
screen between the fourth-order maxima for the two wavelengths?

It is found that when blue light, λ = 470 nm, passes through a
diffraction grating with a slit separation d, the
diffraction pattern has a third order maximum at
an angle θ = 44.8o. At what angle will red
light, λ = 660 nm, have it's second order maximum
when passed through the same diffraction grating.
A.
29.4o
B.
39.7o
C.
41.3o
D.
31.6o

A diffraction grating has 1.3 ?m spacing. Find the
first-order diffraction angles for the following wavelengths.
Part A: Find the first-order diffraction angles for orange light
(615 nm ).
Part B: Find the first-order diffraction angles for green light
(540 nm ).
Part C: Find the first-order diffraction angles for red light
(680 nm ).

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