Concept explainers
(a)
The separation of the slits.
(a)
Explanation of Solution
Given:
The
The distance between the slit and screen is
The distance of first interference from the central maxima is
Formula used:
The figure below shows the geometry of the given setup.
Here
Write the expression for two-slit interference maxima for
Rearrange the above expression for the distance between the two slits.
Write the expression for the triangle in the above figure with sides
Calculation:
Substitute
Substitute
Conclusion:
Thus, the separation of the slits is
(b)
The possible number of interference fringes.
(b)
Explanation of Solution
Given:
The wavelength of the light used is
The distance between the slit and screen is
The distance of first interference from the central maxima is
Formula used:
Write the expression for two-slit interference maxima for
Here
Rearrange the above expression for the distance between the two slits.
Write the expression for the triangle in the above figure with sides
Here
Write the expression for the two slit interference maxima.
where
Write the above expression for maximum number of interference fringes, for
Here
Simplify above expression for
Write the expression for the maximum number of fringes in the central maximum.
Here
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
Thus, the possible number of interference fringes is
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Chapter 33 Solutions
Physics for Scientists and Engineers, Vol. 3
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