Optics
Q. In which of the following scenarios will total internal reflection NOT occur?
A.
Light traveling from diamond to air
B.
Light traveling from water to air
C.
Light traveling from air to glass
D.
Light traveling from glass to air
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Solution
Total internal reflection cannot occur when light travels from a rarer medium (air) to a denser medium (glass).
Correct Answer: C — Light traveling from air to glass
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Q. In which of the following scenarios will total internal reflection occur?
A.
Light from air to water
B.
Light from glass to air
C.
Light from water to glass
D.
Light from air to glass
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Solution
Total internal reflection occurs when light travels from a denser medium (glass) to a less dense medium (air) at an angle greater than the critical angle.
Correct Answer: B — Light from glass to air
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Q. In which of the following scenarios would total internal reflection NOT occur?
A.
Light traveling from diamond to air.
B.
Light traveling from water to air.
C.
Light traveling from air to glass.
D.
Light traveling from glass to water.
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Solution
Total internal reflection cannot occur when light travels from a rarer medium (air) to a denser medium (glass).
Correct Answer: C — Light traveling from air to glass.
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Q. In which scenario is light most likely to be polarized?
A.
When it passes through a prism
B.
When it reflects off a lake
C.
When it travels through air
D.
When it passes through a lens
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Solution
Light is most likely to be polarized when it reflects off a surface, such as a lake.
Correct Answer: B — When it reflects off a lake
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Q. In which scenario would total internal reflection NOT occur?
A.
Light traveling from glass to air at a steep angle.
B.
Light traveling from water to air at a shallow angle.
C.
Light traveling from diamond to air at a high angle.
D.
Light traveling from air to water at any angle.
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Solution
Total internal reflection cannot occur when light travels from a rarer medium (air) to a denser medium (water) at any angle, as it will always refract.
Correct Answer: D — Light traveling from air to water at any angle.
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Q. In Young's double-slit experiment, if the distance between the slits is 0.2 mm and the distance from the slits to the screen is 1 m, what is the distance between the first and second bright fringes?
A.
0.1 mm
B.
0.2 mm
C.
0.4 mm
D.
0.6 mm
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Solution
Distance between fringes (y) = (λD)/d. Assuming λ = 500 nm, y = (500 x 10^-9 * 1)/(0.2 x 10^-3) = 0.0025 m = 0.25 mm. Distance between first and second bright fringes = 0.4 mm.
Correct Answer: C — 0.4 mm
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Q. In Young's double-slit experiment, if the distance between the slits is 0.2 mm and the distance to the screen is 1 m, what is the fringe width if the wavelength of light used is 500 nm?
A.
0.1 mm
B.
0.2 mm
C.
0.5 mm
D.
0.8 mm
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Solution
Fringe width (β) = λD/d. Here, D = 1 m, d = 0.2 mm = 0.0002 m, λ = 500 nm = 500 x 10^-9 m. β = (500 x 10^-9 * 1) / 0.0002 = 0.0025 m = 0.25 mm.
Correct Answer: A — 0.1 mm
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Q. In Young's double-slit experiment, if the distance between the slits is doubled while keeping the wavelength constant, what happens to the fringe width?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Fringe width (β) is given by β = λD/d, where D is the distance to the screen and d is the distance between the slits. If d is doubled, β halves.
Correct Answer: B — It halves
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Q. In Young's double-slit experiment, if the distance between the slits is doubled, what happens to the fringe width?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Fringe width is given by β = λD/d. If d (distance between slits) is doubled, the fringe width β will halve.
Correct Answer: B — It halves
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Q. Two coherent sources emit waves of the same frequency. If the path difference is 0.5λ, what type of interference occurs?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Partial interference
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Solution
Constructive interference occurs when the path difference is an integer multiple of λ.
Correct Answer: A — Constructive interference
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Q. Two coherent sources emit waves of the same frequency. If the phase difference between the waves is π radians, what type of interference occurs?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Partial interference
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Solution
A phase difference of π radians corresponds to a path difference of λ/2, leading to destructive interference.
Correct Answer: B — Destructive interference
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Q. Two coherent sources of light produce interference. If the path difference is 0.5λ, what type of interference occurs?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Partial interference
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Solution
Constructive interference occurs when the path difference is an integer multiple of λ, and 0.5λ corresponds to a half wavelength, leading to constructive interference.
Correct Answer: A — Constructive interference
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Q. Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves is 0.5 m, what is the phase difference?
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
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Solution
Phase difference (φ) = (2π/λ) * path difference. Given λ = 1 m, φ = (2π/1) * 0.5 = π rad.
Correct Answer: B — π/2 rad
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Q. Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves at a point is 0.5 m, what is the phase difference at that point?
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
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Solution
Phase difference (Δφ) = (2π/λ) * path difference. For sound in air, λ = v/f. Assuming f = 1000 Hz and v = 340 m/s, λ = 0.34 m. Δφ = (2π/0.34) * 0.5 = π/2 rad.
Correct Answer: B — π/2 rad
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Q. What happens to the diffraction pattern when monochromatic light is replaced with white light?
A.
It becomes monochromatic
B.
It disappears
C.
It becomes colored
D.
It remains unchanged
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Solution
Replacing monochromatic light with white light results in a colored diffraction pattern due to the different wavelengths.
Correct Answer: C — It becomes colored
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Q. What happens to the diffraction pattern when the distance between the slits in a double-slit experiment is increased?
A.
Fringe width increases
B.
Fringe width decreases
C.
Fringe pattern disappears
D.
Fringe intensity increases
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Solution
Increasing the distance between the slits decreases the fringe width, as fringe width is inversely proportional to the slit separation.
Correct Answer: B — Fringe width decreases
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Q. What happens to the diffraction pattern when the distance to the screen is increased?
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe intensity increases
D.
Fringe intensity decreases
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Solution
Increasing the distance to the screen results in an increase in fringe width in the diffraction pattern.
Correct Answer: B — Fringe width increases
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Q. What happens to the diffraction pattern when the slit width is decreased?
A.
Pattern becomes wider
B.
Pattern becomes narrower
C.
No change in pattern
D.
Pattern disappears
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Solution
Decreasing the slit width increases the diffraction angle, causing the diffraction pattern to become wider.
Correct Answer: A — Pattern becomes wider
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Q. What happens to the focal length of a lens when it is immersed in a medium with a higher refractive index than the lens material?
A.
Focal length increases
B.
Focal length decreases
C.
Focal length remains the same
D.
Focal length becomes infinite
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Solution
When a lens is immersed in a medium with a higher refractive index, its effective focal length decreases due to the reduced refractive power.
Correct Answer: B — Focal length decreases
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Q. What happens to the focal length of a lens when it is immersed in water?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes infinite
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Solution
The focal length of a lens decreases when immersed in a medium with a higher refractive index than air.
Correct Answer: B — Decreases
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Q. What happens to the fringe pattern in Young's double-slit experiment if the distance to the screen is halved?
A.
Fringe width increases
B.
Fringe width decreases
C.
Fringe separation remains the same
D.
Fringe visibility decreases
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Solution
Fringe width (β) is inversely proportional to the distance to the screen (D). If D is halved, the fringe width decreases.
Correct Answer: B — Fringe width decreases
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Q. What happens to the image distance when the object is moved closer to a convex lens beyond its focal point?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes negative
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Solution
As the object moves closer, the image distance increases.
Correct Answer: A — Increases
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Q. What happens to the image 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.
No image formed
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Solution
When an object is placed at infinity, a concave lens forms a virtual image at its focal point, which is upright.
Correct Answer: B — Virtual and upright
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Q. What happens to the image formed by a concave mirror when the object is placed at the center of curvature?
A.
The image is virtual and upright.
B.
The image is real and inverted.
C.
The image is real and upright.
D.
The image is virtual and inverted.
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Solution
When the object is at the center of curvature, the image formed is real, inverted, and of the same size.
Correct Answer: B — The image is real and inverted.
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Q. What happens to the image formed by a concave mirror when the object is placed between the focal point and the mirror?
A.
The image is real and inverted.
B.
The image is virtual and upright.
C.
The image is real and upright.
D.
No image is formed.
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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 — The image is virtual and upright.
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Q. What happens to the image formed by a convex lens when the object is moved closer to the lens than its focal length?
A.
Image disappears
B.
Image becomes real
C.
Image becomes virtual
D.
Image becomes inverted
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Solution
When the object is within the focal length of a convex lens, the image formed is virtual and upright.
Correct Answer: C — Image becomes virtual
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Q. What happens to the image when the object is moved closer to a convex lens than its focal length?
A.
Image disappears
B.
Image becomes real
C.
Image becomes virtual
D.
Image becomes inverted
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Solution
When the object is within the focal length of a convex lens, the image formed is virtual.
Correct Answer: C — Image becomes virtual
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Q. What happens to the intensity of light when it passes through two polarizers aligned at 90 degrees to each other?
A.
It doubles
B.
It halves
C.
It becomes zero
D.
It remains the same
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Solution
When light passes through two polarizers at 90 degrees to each other, the intensity becomes zero because no light can pass through.
Correct Answer: C — It becomes zero
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Q. What happens to the intensity of light when it passes through two polarizers at an angle of 45 degrees?
A.
It is halved
B.
It is quartered
C.
It remains the same
D.
It doubles
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Solution
The intensity of light passing through two polarizers at an angle of 45 degrees is quartered.
Correct Answer: B — It is quartered
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Q. What happens to the interference pattern if one of the slits in a double-slit experiment is covered?
A.
Interference pattern disappears
B.
Pattern becomes brighter
C.
Pattern becomes dimmer
D.
Pattern becomes sharper
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Solution
Covering one slit eliminates the condition for interference, resulting in a single-slit diffraction pattern instead of an interference pattern.
Correct Answer: A — Interference pattern disappears
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