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diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright
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diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm
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Physics
3 years
2021-07-18T23:07:05+00:00
2021-07-18T23:07:05+00:00 1 Answers
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Answer:
Explanation:
width of slits a = 1 x 10⁻² / 5150
= 1.941 x 10⁻⁶ m
angular position of first bright fringe = λ / a , λ is wavelength of light
= 633 x 10⁻⁹ / 1.941 x 10⁻⁶
= 326.12 x 10⁻³ radian
angular position of third bright fringe = 3 λ / a , λ is wavelength of light
= (3 x 633 x 10⁻⁹) / 1.941 x 10⁻⁶
= 978.36 x 10⁻³ radian
angular separation between the two
= 978.36 x 10⁻³ – 326.12 x 10⁻³
= 652.24 x 10⁻³ radian .