A monochromatic light source passes through a diffraction grating (2999 nm spacings) and produces a third order maximum at 34.81 degrees. Using a full solution (if there is no solution, your answer will NOT be marked, even if you guess correctly), determine the colour of the light (use the chart provided; you cannot state a combination of colours, e.g. orange-red). ColorWavelengthviolet380–450 nmblue450–495 nmgreen495-570 nmyellow570–590 nmorange590–620 nmred620-750 nm Table 5 Physical ConstantsQuantitySymbolApproximate valuespeed of light in a vacuum3.0 x 10° m/sgravitational constantG6.67 x 10-1"1 N-m²/kg?Coulomb's constantk8.99 x 10°N-m?/C²charge on electron-e-1.60 x 10-19Ccharge on protone1.60 x 10-19 Celectron massmẹ9.11 x 10-31 kgproton massm,1.673 x 10-27 kgneutron massm.1.675 x 10-2 kgatomic mass unit1.660 x 10-27 kgPlanck's constant6.63 x 10-34 J-selectron-voltev1.60 x 10-19 J

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 23PQ

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A monochromatic light source passes through a diffraction grating (2999 nm spacings) and produces a third order maximum at 34.81 degrees. Using a full solution (if there is no solution, your answer will NOT be marked, even if you guess correctly), determine the colour of the light (use the chart provided; you cannot state a combination of colours, e.g. orange-red).

Color
Wavelength
violet
380–450 nm
blue
450–495 nm
green
495-570 nm
yellow
570–590 nm
orange
590–620 nm
red
620-750 nm

Table 5 Physical Constants
Quantity
Symbol
Approximate value
speed of light in a vacuum
3.0 x 10° m/s
gravitational constant
G
6.67 x 10-1"1 N-m²/kg?
Coulomb's constant
k
8.99 x 10°N-m?/C²
charge on electron
-e
-1.60 x 10-19C
charge on proton
e
1.60 x 10-19 C
electron mass
mẹ
9.11 x 10-31 kg
proton mass
m,
1.673 x 10-27 kg
neutron mass
m.
1.675 x 10-2 kg
atomic mass unit
1.660 x 10-27 kg
Planck's constant
6.63 x 10-34 J-s
electron-volt
ev
1.60 x 10-19 J

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