Concept explainers
(a)
The distance of first and second order intensity from the central intensity maximum.
(a)
Explanation of Solution
Given:
The
The diffraction grating has
The distance of screen from grating is
The focal length of lens is
Formula used:
Write the expression for diffraction pattern.
Here,
Write the expression for position of intensity maxima.
Here,
Write the expression for slit separation.
Here,
Calculation:
Substitute
Rearrange above expression for
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the distances of first and second maxima are
(b)
The width of central maxima.
(b)
Explanation of Solution
Given:
The wavelength of light is
The diffraction grating has
The distance of screen from grating is
The focal length of lens is
Formula used:
Write the expression for minima of diffraction grating.
Here,
Rearrange the above expression for
Write the expression for slit separation.
Here,
Calculation:
Substitute
Substitute
Conclusion:
Thus, the width of central maxima is
(c)
The resolution in first order.
(c)
Explanation of Solution
Given:
The wavelength of light is
The diffraction grating has
The distance of screen from grating is
The focal length of lens is
Formula used:
Write the expression for resolution power.
Here,
Calculation:
Substitute
Conclusion:
Thus, the resolution power of grating is
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Chapter 33 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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