Light of wavelength 590 nm illuminates a diffraction grating. The second-order maximum is at angle 40.5...

Question

Question

Light of wavelength 590 nm illuminates a diffraction grating. The second-order maximum is at angle 40.5

How many lines per millimeter does this grating have?

Answer 1

Answer #1

here,

let the line seperation is d

Now, for the second maximum

d * sin(theta) = m * wavelength

d * sin(40.5 degree) = 2 * 590 *10^-9

d = 1.816 *10^-6 m = 1.816 *10^-3 mm

lines per mm = 1/d

lines per mm = 1/(1.816 *10^-3)

lines per mm = 551

the lines per mm is 551 lines/mm

Add a comment

Answer 2

Similar Homework Help Questions

Light of wavelength 600 nm illuminates a diffraction grating. The second-order maximum is at angle 38.7...

Light of wavelength 600 nm illuminates a diffraction grating. The second-order maximum is at angle 38.7 ∘. How many lines per millimeter does this grating have?
If a diffraction grating produces a third-order bright spot for red light of wavelength 700 nm, at 65° from the central maximum at what angle will the second order bright spot be for violet light...

If a diffraction grating produces a third-order bright spot for red light of wavelength 700 nm, at 65° from the central maximum at what angle will the second order bright spot be for violet light of wavelength 400 nm? How many lines per mm on this grating? If a diffraction grating produces a third-order bright spot for red light of wavelength 700 nm, at 65° from the central maximum at what angle will the second order bright spot be for...
Light of wavelength 490.00 nm is incident normally on a diffraction grating, and the first-order maximum...

Light of wavelength 490.00 nm is incident normally on a diffraction grating, and the first-order maximum is observed to be 31.0° from the normal. How many slits per millimeter are marked on the grating? number of slits per millimeter: TOOLS x109

The light shining on a diffraction grating has a wavelength of 485 nm (in vacuum). The...

The light shining on a diffraction grating has a wavelength of 485 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.09°. How many lines per centimeter does the grating have?
The light shining on a diffraction grating has a wavelength of 495 nm (in vacuum). The...

The light shining on a diffraction grating has a wavelength of 495 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 9.34. How many lines per centimeter does the grating have?
The light shining on a diffraction grating has a wavelength of 481 nm (in vacuum). The...

The light shining on a diffraction grating has a wavelength of 481 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.59°. How many lines per centimeter does the grating have?

Consider a diffraction grating that produces a second-order maximum for 735 nm red light at an angle of 67.5°.

Consider a diffraction grating that produces a second-order maximum for 735 nm red light at an angle of 67.5°.What is the distance, in meters, between lines on such a diffraction grating?
If a laser beam of wavelength 590 nm is sent through a diffraction grating of 870...

If a laser beam of wavelength 590 nm is sent through a diffraction grating of 870 lines per mm, at what angle will the first-order maximum be?
2. Light of wavelength 545 nm passes through a diffraction grating with 1.35 x103 slits/cm The...

2. Light of wavelength 545 nm passes through a diffraction grating with 1.35 x103 slits/cm The diffraction pattern is observed on a screen 1.70 cm from the grating. a) Determine the separation distance between the adjacent maxima on the screen. b) A second monochromatic light illuminates the diffraction grating simultancously. The second-order maximum of the second light falls midway between the central maximum and the first-order maximum for the first light on the screen. Determine the wavelength of the second...

A 500 lines per mm diffraction grating is illuminated by light of wavelength 560 nm ....

A 500 lines per mm diffraction grating is illuminated by light of wavelength 560 nm . Part A What is the maximum diffraction order seen Part B: What is the angle of each diffraction order starting from zero diffraction order to the maximum visible diffraction order? Enter your answers in degrees in ascending order separated by commas.