Questions
Question 1
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State the principal maximum condition for many equally spaced slits.
Question 2
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What is the path difference between adjacent slits separated by \(d\) at angle \(\theta\)?
Question 3
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Write the phase difference between adjacent slits in a multiple-slit pattern.
Question 4
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Why do many slits produce sharper principal maxima than two slits?
Question 5
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If \(N\) identical slits are exactly in phase, how does peak intensity scale with \(N\)?
Question 6
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Five identical slits are in phase at a principal maximum. Compare the peak intensity with one slit alone.
Question 7
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A four-slit pattern has all slits in phase at a maximum. What is the field amplitude compared with one slit?
Question 8
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What role does the single-slit diffraction envelope play in a multiple-slit pattern?
Question 9
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State the condition for a missing order when slit width is \(a\) and slit spacing is \(d\).
Question 10
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For \(d=4a\), what is the first missing principal maximum?
Question 11
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For \(d=3a\), list the first two missing principal maxima.
Question 12
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A multiple-slit setup has \(d=0.20\,\mathrm{mm}\) and \(\lambda=500\,\mathrm{nm}\). Find the first-order principal maximum angle.
Question 13
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Why does increasing the number of slits improve spectral sharpness?
Question 14
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If the slit spacing \(d\) is decreased, what happens to the angular separation of principal maxima?
Question 15
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What is the zero-order principal maximum?
Question 16
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A principal maximum occurs at \(\theta=10^\circ\) with \(d=2.0\,\mu\mathrm{m}\) and \(m=1\). Find \(\lambda\).
Question 17
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Why can a grating maximum be absent even though \(d\sin\theta=m\lambda\) is satisfied?
Question 18
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Ten slits replace five slits with the same slit spacing and width. What changes ideally at principal maxima?
Question 19
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Derive the principal maximum condition from adjacent-slit phase difference.
Question 20
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A multiple-slit pattern has \(d/a=5\). Which of the first six principal orders are missing?