Wave Optics

Practice Questions:

Question 1: difficult

In the Young’s double slit experiment using a monochromatic light of wavelength λ , the path
difference ( in terms of an integer n) corresponding to any point having half the peak
intensity is

1. (2n +1) λ/2

2. (2n +1) λ/4

3. (2n +1) λ/8

4. (2n +1) λ/16

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Question 2: difficult

Two polaroids are placed in the path of unpolarised beam of intensity I0 such that no light is emitted from the second polarioid. If a third polaroid whose polarization axis makes an angle θ with the polarization axis of first polaroid, is placed between these polaroids then the intensity of light emerging from the last polaroid will be :

1. \[\frac{I_{0}}{8}sin^{2} 2\theta\]

2. \[\frac{I_{0}}{4}sin^{2} 2\theta\]

3. \[\frac{I_{0}}{2}cos^{4} \theta\]

4. \[I_{0}cos^{4} \theta\]

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Question 3: difficult

White light is used to illuminate the two silts in a Young’s double slit experiment. The separation between the slits is b and the screen is at a distance d (> > b) from the slits. At a point on the screen directly in front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are :

1. \[\lambda=\frac{b^{2}}{d}\]

2. \[\lambda=\frac{2b^{2}}{d}\]

3. \[\lambda=\frac{3b^{2}}{d}\]

4. \[\lambda=\frac{2b^{2}}{3d}\]

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