Sunlight is used in a double-slit interference experiment. The fourth-order maxi
ID: 1500298 • Letter: S
Question
Sunlight is used in a double-slit interference experiment. The fourth-order maximum for a wavelength of 460 nm occurs at an angle of = 90°. Thus, it is on the verge of being eliminated from the pattern because cannot exceed 90° in Eq. 35-14. (a) What least wavelength in the visible range (400 nm to 700 nm) are not present in the third-order maxima? To eliminate all of the visible light in the fourth-order maximum, (b)should the slit separation be increased or decreased and (c) what least change in separation is needed? Sunlight is used in a double-slit interference experiment. The fourth-order maximum for a wavelength of 460 nm occurs at an angle of = 90°. Thus, it is on the verge of being eliminated from the pattern because cannot exceed 90° in Eq. 35-14. (a) What least wavelength in the visible range (400 nm to 700 nm) are not present in the third-order maxima? To eliminate all of the visible light in the fourth-order maximum, (b)should the slit separation be increased or decreased and (c) what least change in separation is needed?Explanation / Answer
For nth order maxima dsin = n where d is the slit separation.
For 4th order maxima =900 dsin90 = 4 = 4×460nm = 1840nm
d = 1840 nm
(a) For 3rd order maxima, 1840*sin = 3
sin = 3/1840
For > 613.3 nm , no value of is possible
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