Concept explainers
(a)
Thickness of the film.
(a)
Explanation of Solution
Given:
The refractive index of film is
The missing wavelengths of spectrum are
Formula used:
Write the expression for condition of destructive interference.
Here,
Rearrange the above equation for
Rearrange the above equation for
Calculation:
Substitute
Substitute
Divide equation (3) by equation (4).
Solve for
Substitute
Conclusion:
Thus, the thickness of film is
(b)
The brightest wavelength in reflected interference pattern.
(b)
Explanation of Solution
Given:
The refractive index of film is
The missing wavelengths of spectrum are
Formula used:
Write the expression for condition of constructive interference.
Here,
Rearrange the above equation for
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the wavelengths in visible spectrum are
(c)
The wavelengths in visible spectrum when refractive index of glass is
(c)
Explanation of Solution
Given:
The refractive index of film is
The missing wavelengths of spectrum are
Formula used:
Write the expression for condition of constructive interference.
Here,
Rearrange the above equation for
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the wavelengths in visible spectrum are
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Chapter 33 Solutions
Physics for Scientists and Engineers
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