Maharashtra Board Solutions for Chapter: Wave Optics, Exercise 4: Exercises

Prove law of refraction using Huygens' principle.

 A parallel beam of green light of wavelength $550 \mathrm{nm}$ passes through a slit of width $0.4 \mathrm{mm}$. The intensity pattern of the transmitted light is seen on a screen which is $40 \mathrm{cm}$ away. What is the distance between the two first order minima? 

What must be the ratio of the slit width to the wavelength for a single slit to have the first diffraction minimum at 45.0°?

Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen $2.50 \mathrm{m}$ from the slit. If the width of the central maximum is $6.00 \mathrm{mm}$, what is the slit width if the wavelength is $500 \mathrm{nm}$ (visible light);

Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen $2.50 \mathrm{m}$ from the slit. If the width of the central maximum is $6.00 \mathrm{mm}$, what is the slit width if the wavelength is $50 \text{μ}\mathrm{m}$ (infrared radiation);

Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen $2.50 \mathrm{m}$ from the slit. If the width of the central maximum is $6.00 \mathrm{mm}$, what is the slit width if the wavelength is $0.500 \mathrm{nm}$ (X-rays)?

A star is emitting light at the wavelength of $5000\text{Å}$. Determine the limit of resolution of a telescope having an objective of diameter of $200 \mathrm{inch}$. 

The distance between two consecutive bright fringes in a biprism experiment using light of wavelength $6000\text{Å}$ is $0.32 \mathrm{mm}$ by how much will the distance change if light of wavelength $4800\text{Å}$ is used?