Question

(8%) Problem 15: A laser beam with wavelength ? = 650 nm hits a grating with n = 6500 grooves per centimeter. 25% Part (a) Express the grating spacing, d, in terms of n. d = 1/n 25% Part (b) Calculate the numerical value of d, in centimeters. d = 1.53 * 10^-4 d = 1.53E-4 25% Part (c) Find the sin of the angle, ?2, at which the 2nd order maximum will be observed, in terms of d and ?. sin(?2) = 2(?)/d 25% Part (d) Calculate the numerical value of ?2 in degrees. ?2 =

          (8%) Problem 15: A laser beam with wavelength ? = 650 nm hits a grating with n = 6500 grooves per centimeter.
25% Part (a) Express the grating spacing, d, in terms of n.
d = 1/n
25% Part (b) Calculate the numerical value of d, in centimeters.
d = 1.53 * 10^-4
d = 1.53E-4
25% Part (c) Find the sin of the angle, ?2, at which the 2nd order maximum will be observed, in terms of d and ?.
sin(?2) = 2(?)/d
25% Part (d) Calculate the numerical value of ?2 in degrees.
?2 =

(8%) Problem 15: A laser beam with wavelength ? = 650 nm hits a grating with n = 6500 grooves per centimeter.
25% Part (a) Express the grating spacing, d, in terms of n.
d = 1/n
25% Part (b) Calculate the numerical value of d, in centimeters.
d = 1.53 * 10^-4
d = 1.53E-4
25% Part (c) Find the sin of the angle, ?2, at which the 2nd order maximum will be observed, in terms of d and ?.
sin(?2) = 2(?)/d
25% Part (d) Calculate the numerical value of ?2 in degrees.
?2 =

Added by Alexis W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

06/02/2022

Step 1

It can be expressed in terms of the number of grooves per centimeter, n, as d = 1/n. Part (b): To calculate the numerical value of d in centimeters, we substitute n = 6500 grooves per centimeter into the formula d = 1/n. This gives d = 1/6500 = 1.53 x 10^-4 cm. Show more…

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Problem 15: A laser beam with wavelength λ = 650 nm hits a grating with n = 6500 grooves per centimeter: Part (a) Express the grating spacing, d, in terms of n. d = 1/n Part (b) Calculate the numerical value of d, in centimeters. d = 1.53E-4 Part (c) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. sin(θ2) = 2(λ)/d Part (d) Calculate the numerical value of θ2 in degrees.