A source of white light is to be passed through a diffraction grating (as shown in the figure). An observation screen is located 0.40 m away from the grating. Prior to this, the grating spacing is first calibrated using a known wavelength (green) diode laser where λ = 550 nm. When the first- order diffraction maximum for the laser is observed on the screen, it is found to be at a distance y = 9.25 cm from the central maximum. Be careful with units: recall that 1 nm = 10-9 m whereas 1 cm = 10-² m. What is the spacing between grating slits? d = Next, when white light is incident onto the grating, the second-order diffraction pattern is observed. What is the value of y on the screen corresponding to red light at λ = 700 nm for m = 2? Yred= nm Yv= cm What is the value of y on the screen corresponding to violet light at λ = 400 nm? cm
A source of white light is to be passed through a diffraction grating (as shown in the figure). An observation screen is located 0.40 m away from the grating. Prior to this, the grating spacing is first calibrated using a known wavelength (green) diode laser where λ = 550 nm. When the first- order diffraction maximum for the laser is observed on the screen, it is found to be at a distance y = 9.25 cm from the central maximum. Be careful with units: recall that 1 nm = 10-9 m whereas 1 cm = 10-² m. What is the spacing between grating slits? d = Next, when white light is incident onto the grating, the second-order diffraction pattern is observed. What is the value of y on the screen corresponding to red light at λ = 700 nm for m = 2? Yred= nm Yv= cm What is the value of y on the screen corresponding to violet light at λ = 400 nm? cm
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Transcribed Image Text:A source of white light is to be passed through a diffraction grating (as shown in the figure). An
observation screen is located 0.40 m away from the grating. Prior to this, the grating spacing is
first calibrated using a known wavelength (green) diode laser where λ = 550 nm. When the first-
order diffraction maximum for the laser is observed on the screen, it is found to be at a distance Y
= 9.25 cm from the central maximum. Be careful with units: recall that 1 nm = 10-9 m whereas 1
10-2 m.
cm =
What is the spacing between grating slits?
d =
nm
Next, when white light is incident onto the grating, the second-order diffraction pattern is observed.
What is the value of y on the screen corresponding to red light at λ = 700 nm for m = 2?
Yred=
What is the value of y on the screen corresponding to violet light at λ = 400 nm?
Yv=
cm
cm
source
grating
L
m=2
m=1
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