Monochromatic, in phase light of wavelength = 824nm is incident on a piece of metal with either one or two slits on it - it is difficult to see to determine which. The diffraction pattern is observed on a viewing screen that is located 72cm away from the metal plate. The first two minima are measured to be 9.78cm and 31.79cm away from the central maxima. What is the brightness of the light at a distance of 14.62cm from the central maxima, relative to the brightness of the central maxima? Ix10-³ Note: Brightness is proportional to the SQUARE of the amplitude. For double slit, this means I = ad sin e 2 this means I = I₂ . In both of these, I, is the maximum brightness, and d is the characteristic spacing of the slit(s). Io (cos(d sin 8))². For single slit, sin( ad sin e

Principles of Physics: A Calculus-Based Text
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Chapter27: Wave Optics
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Monochromatic, in phase light of wavelength = 824nm is incident on a piece of metal with either one or two slits on it - it is difficult
to see to determine which.
The diffraction pattern is observed on a viewing screen that is located 72cm away from the metal plate. The first two minima are
measured to be 9.78cm and 31.79cm away from the central maxima.
What is the brightness of the light at a distance of 14.62cm from the central maxima, relative to the brightness of the central maxima?
Xx10-³
Note: Brightness is proportional to the SQUARE of the amplitude. For double slit, this means I = I, (cos(zd sin )
@)) ².
this means I = I₂
d sin 8 2
sin
(S)²
ad sin e
. For single slit,
In both of these, I, is the maximum brightness, and d is the characteristic spacing of the slit(s).
Transcribed Image Text:Monochromatic, in phase light of wavelength = 824nm is incident on a piece of metal with either one or two slits on it - it is difficult to see to determine which. The diffraction pattern is observed on a viewing screen that is located 72cm away from the metal plate. The first two minima are measured to be 9.78cm and 31.79cm away from the central maxima. What is the brightness of the light at a distance of 14.62cm from the central maxima, relative to the brightness of the central maxima? Xx10-³ Note: Brightness is proportional to the SQUARE of the amplitude. For double slit, this means I = I, (cos(zd sin ) @)) ². this means I = I₂ d sin 8 2 sin (S)² ad sin e . For single slit, In both of these, I, is the maximum brightness, and d is the characteristic spacing of the slit(s).
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