1-You have a laser with wavelength = 635.7[nm]. The grating has a slit spacing o

Question

1-You have a laser with wavelength = 635.7[nm]. The grating has a slit spacing of 1.666E-03[mm]. What is the angle measured for n=1?
angle =???? [radian]( use 3 sig) (show all the steps) the right answer is 0.931 rad but i need the steps

2-You measure a distance from diffraction to screen to be 285[mm]. What should be the angle to the first spot measured off axis, if the distance from the center spot is 1.176E+02[mm]?

angle =???? [degree] ( use 3 sig) (show all the steps) the right answer is 22.4 degree but i need the steps

3-For this question your laser has a wavelength of 635.7[nm]. You measure a distance from diffraction grating to screen to be 285[mm] and the first spot is measured a distance from center axis to be 1.176E+02[mm]. How many slits per millimeter are there?

Number of slits / mm =???? (Answer to the nearest integer slit.) (show all the steps)

Explanation / Answer

Part A)

Apply dsin(angle) = m(wavelength)

(1.666X 10^-6)(sin angle) = (1)(635.7 X 10^-9)

angle = 22.4 degrees

Convert that to radians (pi)/180 = x/22.4

x = .391 rad

Part B)
tan (angle) = 1.176 X 10^2/285

angle = 22.4 degrees

Part C)

y/L = m(wavelength)/d

1.176 X 10^2/285 = (1)(635.7 X 10^-9)/d

d = 1.54 X 10^-6 m per slit

We are asked for slits per mm

1.54 X 10^-6m per slit is 1.54 X 10^-3 mm per slit

Now take the inverse

1/1.54 X 10^-3 = 649 slits per mm

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.