Optics
Q. What is the total power of two lenses of power +5 D and -3 D placed in contact?
A.
2 D
B.
8 D
C.
15 D
D.
1 D
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Solution
Total power P = P1 + P2 = 5 D - 3 D = 2 D.
Correct Answer: A — 2 D
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Q. What is the wavelength of light if the first-order maximum occurs at an angle of 30° in a double-slit experiment with slit separation of 0.1 mm and distance to screen of 1 m?
A.
0.5 mm
B.
0.3 mm
C.
0.2 mm
D.
0.1 mm
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Solution
Using d sin θ = mλ, λ = d sin θ/m. For m=1, d=0.1 mm, θ=30°, λ = 0.1 mm * sin(30°) = 0.1 mm * 0.5 = 0.05 mm = 0.2 mm.
Correct Answer: C — 0.2 mm
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Q. What is the wavelength of light if the first-order maximum occurs at an angle of 30° in a double-slit experiment with slit separation of 0.1 mm and screen distance of 1 m?
A.
0.5 mm
B.
0.6 mm
C.
0.7 mm
D.
0.8 mm
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Solution
Using d sin θ = mλ, λ = d sin θ/m. For m=1, d=0.1 mm, θ=30°, λ = 0.1 mm * sin(30°) = 0.1 mm * 0.5 = 0.05 mm = 0.5 mm.
Correct Answer: A — 0.5 mm
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Q. What is the wavelength of light if the first-order maximum occurs at an angle of 30° in a double-slit experiment with slit separation of 0.1 mm and a screen distance of 1 m?
A.
300 nm
B.
600 nm
C.
450 nm
D.
750 nm
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Solution
Using d sin θ = mλ, λ = d sin θ/m. For m=1, d=0.1 mm, θ=30°, λ = 0.1 mm * sin(30°) = 0.1 mm * 0.5 = 0.05 mm = 500 nm.
Correct Answer: B — 600 nm
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Q. What type of diffraction occurs when light passes through a circular aperture?
A.
Single-slit diffraction
B.
Double-slit diffraction
C.
Fresnel diffraction
D.
Fraunhofer diffraction
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Solution
When light passes through a circular aperture, it exhibits Fresnel diffraction, characterized by a pattern of concentric rings.
Correct Answer: C — Fresnel diffraction
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Q. What type of diffraction pattern is produced by a circular aperture?
A.
Single slit pattern
B.
Double slit pattern
C.
Airy pattern
D.
Uniform pattern
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Solution
A circular aperture produces an Airy pattern, characterized by a central bright spot surrounded by concentric dark and bright rings.
Correct Answer: C — Airy pattern
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Q. What type of image is formed by a concave lens when the object is placed at infinity?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
A concave lens always forms a virtual and upright image regardless of the object's position.
Correct Answer: B — Virtual and upright
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Q. What type of image is formed by a concave mirror when the object is placed between the focal point and the mirror?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is placed between the focal point and the mirror, the image formed is virtual and upright.
Correct Answer: B — Virtual and upright
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Q. What type of image is formed by a convex lens when the object is placed at a distance greater than twice the focal length?
A.
Real and inverted
B.
Virtual and upright
C.
Real and upright
D.
Virtual and inverted
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Solution
When the object is placed beyond twice the focal length, the image is real and inverted.
Correct Answer: A — Real and inverted
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Q. What type of image is formed by a convex lens when the object is placed beyond the focal point?
A.
Virtual and upright
B.
Real and inverted
C.
Real and upright
D.
Virtual and inverted
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Solution
A convex lens forms a real and inverted image when the object is beyond the focal point.
Correct Answer: B — Real and inverted
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Q. What type of image is formed by a convex mirror?
A.
Real and inverted
B.
Real and upright
C.
Virtual and upright
D.
Virtual and inverted
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Solution
A convex mirror always forms a virtual and upright image regardless of the object's position.
Correct Answer: C — Virtual and upright
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Q. What type of lens is used to correct hyperopia (farsightedness)?
A.
Convex lens
B.
Concave lens
C.
Bifocal lens
D.
Cylindrical lens
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Solution
Hyperopia is corrected using a convex lens, which converges light rays before they enter the eye, allowing for clear vision of nearby objects.
Correct Answer: A — Convex lens
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Q. What type of light is completely polarized?
A.
Unpolarized light
B.
Partially polarized light
C.
Linearly polarized light
D.
Circularly polarized light
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Solution
Linearly polarized light consists of waves that oscillate in a single plane, making it completely polarized.
Correct Answer: C — Linearly polarized light
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Q. What type of light is produced by a laser?
A.
Unpolarized light
B.
Partially polarized light
C.
Completely polarized light
D.
Diffused light
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Solution
Lasers emit light that is completely polarized because the light waves are emitted in a single direction and phase.
Correct Answer: C — Completely polarized light
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Q. When unpolarized light passes through a polarizer, what happens to its intensity?
A.
It doubles
B.
It remains the same
C.
It is halved
D.
It is reduced to zero
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Solution
When unpolarized light passes through a polarizer, its intensity is reduced to half of its original value.
Correct Answer: C — It is halved
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Q. Which of the following best describes the effect of a larger slit width on the diffraction pattern?
A.
More pronounced diffraction
B.
Less pronounced diffraction
C.
No diffraction
D.
Increased number of fringes
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Solution
A larger slit width results in less pronounced diffraction, leading to a narrower central maximum.
Correct Answer: B — Less pronounced diffraction
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Q. Which of the following best describes the term 'angular width' of a diffraction maximum?
A.
The distance between two adjacent maxima
B.
The angle subtended by the maximum at the source
C.
The width of the maximum on a screen
D.
The angle between the first minimum and the central maximum
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Solution
The angular width of a diffraction maximum is defined as the angle between the first minimum on either side of the central maximum.
Correct Answer: D — The angle between the first minimum and the central maximum
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Q. Which of the following colors of light has the shortest wavelength?
A.
Red
B.
Green
C.
Blue
D.
Violet
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Solution
Violet light has the shortest wavelength among the visible spectrum.
Correct Answer: D — Violet
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Q. Which of the following conditions is necessary for total internal reflection to occur?
A.
Light must travel from a denser to a rarer medium
B.
Light must travel from a rarer to a denser medium
C.
The angle of incidence must be less than the critical angle
D.
The angle of incidence must be equal to the critical angle
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Solution
Total internal reflection occurs only when light travels from a denser medium to a rarer medium and the angle of incidence exceeds the critical angle.
Correct Answer: A — Light must travel from a denser to a rarer medium
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Q. Which of the following conditions must be satisfied for total internal reflection to occur?
A.
Light must travel from a denser to a rarer medium.
B.
Light must travel from a rarer to a denser medium.
C.
The angle of incidence must be less than the critical angle.
D.
The angle of incidence must be equal to the critical angle.
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Solution
Total internal reflection occurs when light travels from a denser medium to a rarer medium and the angle of incidence exceeds the critical angle.
Correct Answer: A — Light must travel from a denser to a rarer medium.
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Q. Which of the following describes circular polarization?
A.
Waves oscillate in a straight line
B.
Waves oscillate in a plane at a constant angle
C.
Waves rotate in a circular motion as they propagate
D.
Waves are randomly oriented
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Solution
In circular polarization, the electric field vector rotates in a circular motion as the wave propagates.
Correct Answer: C — Waves rotate in a circular motion as they propagate
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Q. Which of the following describes the polarization of light?
A.
Light waves oscillate in all directions
B.
Light waves oscillate in a single plane
C.
Light waves oscillate in a circular motion
D.
Light waves do not oscillate
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Solution
Polarization of light refers to the phenomenon where light waves oscillate in a single plane.
Correct Answer: B — Light waves oscillate in a single plane
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Q. Which of the following equations represents the condition for the first minimum in a single-slit diffraction pattern?
A.
a sin(θ) = λ
B.
a sin(θ) = 2λ
C.
a sin(θ) = 3λ
D.
a sin(θ) = 0
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Solution
The condition for the first minimum in a single-slit diffraction pattern is given by a sin(θ) = λ, where 'a' is the slit width and 'λ' is the wavelength.
Correct Answer: A — a sin(θ) = λ
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Q. Which of the following equations represents the condition for the first minimum in single-slit diffraction?
A.
a sin(θ) = mλ
B.
a sin(θ) = (m + 0.5)λ
C.
a sin(θ) = (m + 1)λ
D.
a sin(θ) = 0
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Solution
The condition for the first minimum in single-slit diffraction is given by a sin(θ) = mλ, where m = 1 for the first minimum.
Correct Answer: A — a sin(θ) = mλ
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Q. Which of the following is a characteristic of linearly polarized light?
A.
It vibrates in all directions
B.
It vibrates in a single plane
C.
It has a constant frequency
D.
It travels faster than unpolarized light
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Solution
Linearly polarized light vibrates in a single plane, as opposed to unpolarized light which vibrates in multiple planes.
Correct Answer: B — It vibrates in a single plane
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Q. Which of the following is a practical application of diffraction?
A.
Optical instruments
B.
Radio transmission
C.
Medical imaging
D.
All of the above
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Solution
Diffraction is utilized in various applications including optical instruments, radio transmission, and medical imaging.
Correct Answer: D — All of the above
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Q. Which of the following is a practical application of total internal reflection?
A.
Lenses in glasses.
B.
Mirrors in telescopes.
C.
Fiber optic communication.
D.
Convex lenses.
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Solution
Fiber optic communication relies on total internal reflection to transmit light signals over long distances with minimal loss.
Correct Answer: C — Fiber optic communication.
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Q. Which of the following is NOT a method of producing polarized light?
A.
Reflection
B.
Refraction
C.
Scattering
D.
Diffraction
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Solution
Diffraction does not produce polarized light; it is a phenomenon related to the bending of waves around obstacles.
Correct Answer: D — Diffraction
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Q. Which of the following materials can be used to polarize light?
A.
Glass
B.
Polaroid film
C.
Water
D.
Air
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Solution
Polaroid film is specifically designed to polarize light by allowing only light waves oscillating in a certain direction to pass through.
Correct Answer: B — Polaroid film
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Q. Which of the following materials is commonly used in polarizers?
A.
Glass
B.
Plastic
C.
Polaroid
D.
Water
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Solution
Polaroid is a material specifically designed to polarize light.
Correct Answer: C — Polaroid
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