Concept explainers
(a)
The filter that will produce the wider band.
(a)
Answer to Problem 20PP
The red filter produces the wider band.
Explanation of Solution
Introduction:
In single slit experiment, when a light ray from a monochromatic light source falls on a single slit placed at a distance, the light gets diffracted by the edges of the single slit and falls on the screen. The brightest band appears at the middle of the screen.
The expression for the width of bright band
Here,
When a monochromatic blue light passes through a single minute opening, whose size is larger than the
The width of the central band is directly proportional to the wavelength of the light emitted by the monochromatic light.
As the wavelength of the red light is more than the wavelength of the blue light, the width of the central band corresponding to red filter is more than that of the blue filter.
Conclusion:
Thus, the red filter produced the wider band.
(b)
The width of the central bright band for blue-violet filter and red filter.
(b)
Answer to Problem 20PP
The width of the central bright band for blue-violet filter is
The width of the central bright band for red filter is
Explanation of Solution
Given:
The width of the slit is
The wavelength of the blue-violet filter is
The wavelength of the red filter is
The distance is
Formula used:
The expression for the width of bright band
Here,
Calculation:
The width of the central bright band for blue-violet filter is
The width of the central bright band for red filter is,
Conclusion:
Thus, the width of the central bright band for blue-violet filter is
Chapter 19 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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