A diffraction grating has 500 slits/mm. What is the longest wavelength of light for which there will be a third-order maximum?

Physics

1 answer:

Alexxandr [17]3 years ago

8 0

Answer:

The longest wavelength of light is 666.7 nm

Explanation:

The general form of the grating equation is

mλ = d(sinθi + sinθr)

where;

m is third-order maximum = 3

λ is the wavelength,

d is the slit spacing (m/slit)

θi is the incident angle

θr is the diffracted angle

Note: at longest wavelength, sinθi + sinθr = 1

λ = d/m

d = 1/500 slits/mm

λ = 1 mm/(500 *3) = 1mm/1500 = 666.7 X 10⁻⁶ mm = 666.7 nm

Therefore, the longest wavelength of light is 666.7 nm

You might be interested in

The element in an incandescent light bulb that releases light energy is? A- a phosphor, B- mercury vapor, C- a thin tungsten fil

LenKa [72]

C.) A Thin tungsten filament

7 0

3 years ago

A hiker walked a hiking trail according to the chart below. What is a possible explanation of the hiker's movement?

joja [24]

<span>a.The hiker had an easy, level trail from 11:00-12:00 and was able to travel the fastest during that time period.---> may be because this was indeed fastest stage

b.The hiker got tired and walked the slowest from 1:00-2:00.---> no, because this was not the slowest stage

c.The hiker stopped for lunch from 11:00-12:00 and that slowed him down.---> no because this was the fastest stage

d.The hiker ended up in the same place that he started.---> no, because the hiker walked more toward east than toward west and more toward south than toward north.

Answer: option a) </span>

6 0

3 years ago

Two identical charges q placed 2.0 mapart exert forces of magnitude 4.0 N on each other What is the value of the charge q? a) q

katen-ka-za [31]

Answer:

c) $4.2*10^{-5}C$

Explanation:

Coulomb's law says that the force exerted between two charges is inversely proportional to the square of distance between them, and is given by the expression:

$F=\frac{kq_{1}q_{2}}{r^{2}}$