Question
Number of Fringes in a Diffraction Maximum. In Fig. 36.12 $\mathrm{c}$ the central diffraction maximum contains exactly seven interference fringes, and in this case $d / a=4 .(\mathrm{a})$ What must the ratio $d / a$ be if the central maximum contains exactly five fringes? (b) In the case considered in part (a), how many fringes are contained within the first diffraction maximum on one side of the central maximum?
Step 1
Step 1: The condition for the central maximum in a diffraction pattern is given by $\beta = 2\pi \frac{a}{\lambda}$, where $\beta$ is the phase difference, $a$ is the slit width, and $\lambda$ is the wavelength of light. Show more…
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In Fig. $36.12 \mathrm{c}$ the central diffraction maximum contains exactly seven interference fringes, and in this case $d / a=4 .$ (a) What must the ratio $d / a$ be if the central maximum contains exactly five fringes? (b) In the case considered in part (a), how many fringes are contained within the first diffraction maximum on one side of the central maximum?
In Fig. 36.12c the central diffraction maximum contains exactly seven interference fringes, and in this case $d/a$ = 4. (a) What must the ratio $d/a$ be if the central maximum contains exactly five fringes? (b) In the case considered in part (a), how many fringes are contained within the first diffraction maximum on one side of the central maximum?
Diffraction
Multiple Slits
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