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# Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board chapter 7 - Wave Optics [Latest edition]

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## Chapter 7: Wave Optics

Exercises
Exercises [Pages 184 - 185]

### Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board Chapter 7 Wave Optics Exercises [Pages 184 - 185]

Exercises | Q 1.1 | Page 184

Choose the correct option:

Which of the following phenomenon proves that light is a transverse wave?

• Reflection

• Interference

• Diffraction

• Polarization

Exercises | Q 1.2 | Page 184

Choose the correct option:

Which property of light does not change when it travels from one medium to another?

• Velocity

• Wavelength

• Amplitude

• Frequency

Exercises | Q 1.3 | Page 184

Choose the correct option:

When unpolarized light is passed through a polarizer, its intensity ______.

• Increases

• Decreases

• Remain unchanged

• Depends on the orientation of the polarize

Exercises | Q 1.4 | Page 184

Choose the correct option:

In Young's double-slit experiment, the two coherent sources have different intensities. If the ratio of the maximum intensity to the minimum intensity in the interference pattern produced is 25 : 1, what is the ratio of the intensities of the two sources?

• 5:1

• 25:1

• 3:2

• 9:4

Exercises | Q 1.5 | Page 184

Choose the correct option:

In Young's double-slit experiment, a thin uniform sheet of glass is kept in front of the two slits, parallel to the screen having the slits. The resulting interference pattern will satisfy:

• The interference pattern will remain unchanged

• The fringe width will decrease

• The fringe width will increase

• The fringes will shift

Exercises | Q 2.1 | Page 184

Answer in brief:

What are primary and secondary sources of light?

Exercises | Q 2.2 | Page 184

Answer in brief:

What is wavefront? How is it related to rays of light? What is the shape of the wavefront at a point far away from the source of light?

Exercises | Q 2.3 | Page 184

Answer in brief:

Why are multiple colours observed over a thin film of oil floating on water? Explain with the help of a diagram.

Exercises | Q 2.4 | Page 184

Answer in brief:

In Young's double-slit experiment what will we observe on the screen when white light is incident on the slits but one slit is covered with a red filter and the other with a violet filter? Give reasons for your answer.

Exercises | Q 2.5 | Page 184

Answer in brief:

Explain what is the optical path length. How is it different from actual path length?

Exercises | Q 3 | Page 184

Answer in brief:

Derive the laws of reflection of light using Huygens’ principle.

Exercises | Q 4 | Page 184

Answer in brief:

Explain what is meant by polarization and derive Malus’ law.

Exercises | Q 5 | Page 184

What is Brewster’s law? Derive the formula for Brewster angle.

Exercises | Q 6 | Page 184

Describe Young's double-slit interference experiment and derive conditions for occurrence of dark and bright fringes on the screen. Define fringe width and derive a formula for it.

Exercises | Q 7 | Page 184

What are the conditions for obtaining a good interference pattern? Give reasons.

Exercises | Q 8. (a) | Page 184

Answer in brief:

What is meant by coherent sources?

Exercises | Q 8. (b) | Page 184

What are the two methods for obtaining coherent sources in the laboratory?

Exercises | Q 9 | Page 184

What is the diffraction of light? How does it differ from interference? What are Fraunhofer and Fresnel diffractions?

Exercises | Q 10 | Page 184

Derive the conditions for bright and dark fringes produced due to diffraction by a single slit.

Exercises | Q 11 | Page 184

Describe Rayleigh's criterion for resolution. Explain it for a telescope and a microscope.

Exercises | Q 12 | Page 184

White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen when white light is passed through a glass of refractive index 1.55?

Exercises | Q 13 | Page 184

The optical path of a ray of light of a given wavelength travelling a distance of 3 cm in flint glass having refractive index 1.6 is the same as that on travelling a distance x cm through a medium having a refractive index 1.25. Determine the value of x.

Exercises | Q 14 | Page 185

A double-slit arrangement produces interference fringes for sodium light (λ = 589 nm) that are 0.20° apart. What is the angular fringe separation if the entire arrangement is immersed in water (n = 1.33)?

Exercises | Q 15 | Page 185

Answer in brief:

In a double-slit arrangement, the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits.
(a) What is the angular separation in radians between the central maximum and an adjacent maximum?
(b) What is the distance between these maxima on a screen 50.0 cm from the slits?

Exercises | Q 16 | Page 185

Unpolarized light with intensity I0 is incident on two polaroids. The axis of the first polaroid makes on the angle of 50° with the vertical, and the axis of the second polaroid is horizontal. What is the intensity of the light after it has passed through the second polaroid?

Exercises | Q 17 | Page 185

In a biprism experiment, the fringes are observed in the focal plane of the eyepiece at a distance of 1.2 m from the slits. The distance between the central bright band and the 20th bright band is 0.4 cm. When a convex lens is placed between the biprism and the eyepiece, 90 cm from the eyepiece, the distance between the two virtual magnified images is found to be 0.9 cm. Determine the wavelength of light used.

Exercises | Q 18 | Page 185

In Fraunhoffer diffraction by a narrow slit, a screen is placed at a distance of 2 m from the lens to obtain the diffraction pattern. If the slit width is 0.2 mm and the first minimum is 5 mm on either side of the central maximum, find the wavelength of light.

Exercises | Q 19 | Page 185

The intensity of the light coming from one of the slits in Young's experiment is twice the intensity of the light coming from the other slit. What will be the approximate ratio of the intensities of the bright and dark fringes in the resulting interference pattern?

Exercises | Q 20 | Page 185

A parallel beam of green light of wavelength 546 nm passes through a slit of width 0.4 mm. The intensity pattern of the transmitted light is seen on a screen that is 40 cm away. What is the distance between the two first-order minima?

Exercises | Q 21 | Page 185

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

Exercises | Q 22 | Page 185

Monochromatic electromagnetic radiation from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the central maximum is 6.00 mm, what is the slit width if the wavelength is
(a) 500 nm (visible light)
(b) 50 µm (infrared radiation)
(c) 0.500 nm (X rays)?

Exercises | Q 23 | Page 185

A star is emitting light at the wavelength of 5000 Å. Determine the limit of resolution of a telescope having an objective of a diameter of 200 inch.

Exercises | Q 24 | Page 185

Answer in brief:

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

Exercises

## Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board chapter 7 - Wave Optics

Balbharati solutions for Physics 12th Standard HSC Maharashtra State Board chapter 7 (Wave Optics) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Physics 12th Standard HSC Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Physics 12th Standard HSC Maharashtra State Board chapter 7 Wave Optics are Introduction of Wave Optics, Nature of Light, Light as a Wave, Huygensâ€™ Theory, Reflection of Light at a Plane Surface, Refraction of Light at a Plane Boundary Between Two Media, Polarization, Interference, Diffraction of Light, Resolving Power.

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