Lenses
Q. An object is placed 50 cm from a converging lens of focal length 25 cm. Where will the image be formed?
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A.
16.67 cm
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B.
33.33 cm
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C.
25 cm
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D.
20 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, we find v = 33.33 cm.
Correct Answer: B — 33.33 cm
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Q. An object is placed at a distance of 40 cm from a convex lens of focal length 20 cm. Where will the image be formed?
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A.
10 cm
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B.
20 cm
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C.
30 cm
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D.
40 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, we find v = 10 cm.
Correct Answer: A — 10 cm
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Q. An object is placed at the focus of a concave lens. What type of image is formed?
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A.
Real and inverted
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B.
Virtual and erect
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C.
Real and erect
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D.
Virtual and inverted
Solution
A concave lens always forms a virtual and erect image regardless of the object position.
Correct Answer: B — Virtual and erect
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Q. If a concave lens has a focal length of -10 cm, what is the nature of the image formed when an object is placed at 5 cm from the lens?
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A.
Real and inverted
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B.
Virtual and upright
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C.
Real and upright
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D.
Virtual and inverted
Solution
Concave lenses always produce virtual and upright images.
Correct Answer: B — Virtual and upright
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Q. If a concave lens has a focal length of -10 cm, what is the nature of the image formed when the object is placed at 5 cm?
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A.
Real and inverted
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B.
Virtual and upright
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C.
Real and upright
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D.
Virtual and inverted
Solution
Concave lenses always produce virtual and upright images.
Correct Answer: B — Virtual and upright
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Q. If a concave lens has a focal length of -20 cm, what is the nature of the image formed when an object is placed at 30 cm?
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A.
Real and inverted
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B.
Virtual and upright
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C.
Real and upright
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D.
Virtual and inverted
Solution
The image formed by a concave lens is virtual and upright when the object is placed beyond the focal length.
Correct Answer: B — Virtual and upright
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Q. If a concave lens has a focal length of -20 cm, what is the nature of the image formed when an object is placed at 30 cm from the lens?
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A.
Real and inverted
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B.
Virtual and upright
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C.
Real and upright
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D.
Virtual and inverted
Solution
For a concave lens, the image formed is virtual and upright when the object is placed beyond the focal length.
Correct Answer: B — Virtual and upright
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Q. If a lens forms a real image at a distance of 40 cm from the lens, and the object is placed at 60 cm, what is the focal length of the lens?
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A.
15 cm
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B.
20 cm
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C.
25 cm
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D.
30 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/40 - 1/(-60) = 1/40 + 1/60 = 1/24. Therefore, f = 24 cm.
Correct Answer: C — 25 cm
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Q. If a lens has a power of -2 D, what is its focal length?
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A.
-50 cm
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B.
-25 cm
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C.
25 cm
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D.
50 cm
Solution
Power (P) = 1/f, so f = 1/P = 1/(-2) = -0.5 m = -50 cm.
Correct Answer: B — -25 cm
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Q. If a lens has a power of -2 D, what type of lens is it?
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A.
Convex lens
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B.
Concave lens
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C.
Bifocal lens
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D.
Plano-convex lens
Solution
A negative power indicates a concave lens.
Correct Answer: B — Concave lens
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Q. If the distance between the object and the image formed by a lens is 70 cm, and the object distance is 30 cm, what is the image distance?
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A.
40 cm
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B.
50 cm
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C.
60 cm
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D.
70 cm
Solution
Image distance (v) = Object distance (u) + Distance between object and image = 30 cm + 70 cm = 40 cm.
Correct Answer: A — 40 cm
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Q. If the focal length of a lens is doubled, how does the power of the lens change?
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A.
Doubles
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B.
Halves
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C.
Remains the same
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D.
Quadruples
Solution
Power is inversely proportional to focal length. If f is doubled, P = 1/f will halve.
Correct Answer: B — Halves
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Q. If the image distance is equal to the object distance for a lens, what is the magnification?
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A.
0
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B.
1
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C.
2
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D.
Infinity
Solution
Magnification (m) = v/u = 1 when image distance equals object distance.
Correct Answer: B — 1
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Q. If the image distance of a convex lens is 40 cm and the object distance is 30 cm, what is the focal length of the lens?
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A.
10 cm
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B.
20 cm
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C.
30 cm
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D.
15 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/40 - 1/(-30) = 1/40 + 1/30. Solving gives f = 20 cm.
Correct Answer: B — 20 cm
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Q. If the object distance is equal to the focal length of a convex lens, what is the nature of the image formed?
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A.
Real and inverted
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B.
Virtual and upright
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C.
At infinity
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D.
No image formed
Solution
When the object distance equals the focal length, the image is formed at infinity.
Correct Answer: C — At infinity
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Q. If the object distance is equal to the focal length of a convex lens, what type of image is formed?
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A.
Real and inverted
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B.
Virtual and upright
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C.
At infinity
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D.
No image formed
Solution
When the object is at the focal length, the image is formed at infinity.
Correct Answer: C — At infinity
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Q. If the radius of curvature of a lens is 20 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
30 cm
Solution
Using the lens maker's formula, f = R/(n-1) = 20/(1.5-1) = 40 cm.
Correct Answer: A — 10 cm
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Q. If the radius of curvature of a lens is 30 cm and the refractive index is 1.5, what is the focal length of the lens?
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
25 cm
Solution
Using the lens maker's formula, f = R/(n-1) = 30/(1.5-1) = 30/0.5 = 60 cm.
Correct Answer: B — 15 cm
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Q. If the radius of curvature of a lens is 30 cm, what is the focal length of the lens assuming it is made of glass with a refractive index of 1.5?
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
25 cm
Solution
Using the lens maker's formula, f = R/(n-1) = 30/(1.5-1) = 30/0.5 = 60 cm.
Correct Answer: B — 15 cm
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Q. In a compound microscope, which lens is the eyepiece?
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A.
Convex lens
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B.
Concave lens
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C.
Bifocal lens
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D.
Plano-convex lens
Solution
The eyepiece of a compound microscope is a convex lens.
Correct Answer: A — Convex lens
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Q. In a compound microscope, which lens is the objective lens?
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A.
The lens closest to the eye
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B.
The lens closest to the object
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C.
The lens with the longer focal length
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D.
The lens with the shorter focal length
Solution
The objective lens is the one closest to the object being viewed.
Correct Answer: B — The lens closest to the object
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Q. In a double convex lens, if the radii of curvature are 10 cm and 15 cm, what is the focal length using the lens maker's formula?
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A.
6 cm
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B.
10 cm
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C.
12 cm
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D.
8 cm
Solution
Using the lens maker's formula, f = (R1 * R2) / (n - 1) * (1/R1 - 1/R2), we find f = 12 cm.
Correct Answer: C — 12 cm
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Q. What happens to the focal length of a lens when it is immersed in water?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes infinite
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 image distance when the object is moved closer to a convex lens beyond its focal point?
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A.
Increases
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B.
Decreases
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C.
Remains the same
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D.
Becomes negative
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 convex lens when the object is moved closer to the lens than its focal length?
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A.
Image disappears
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B.
Image becomes real
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C.
Image becomes virtual
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D.
Image becomes inverted
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 is the effect of increasing the curvature of a lens on its focal length?
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A.
Focal length increases
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B.
Focal length decreases
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C.
Focal length remains the same
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D.
Focal length becomes zero
Solution
Increasing the curvature of a lens decreases its focal length.
Correct Answer: B — Focal length decreases
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Q. What is the effect of increasing the object distance on the size of the image formed by a convex lens?
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A.
Image size increases
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B.
Image size decreases
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C.
Image size remains constant
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D.
Image size becomes zero
Solution
As the object distance increases, the size of the image formed by a convex lens increases until it reaches a maximum.
Correct Answer: A — Image size increases
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Q. What is the focal length of a convex lens if it forms a real image at a distance of 30 cm when the object is placed at 15 cm from the lens?
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A.
10 cm
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B.
15 cm
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C.
20 cm
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D.
25 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, where v = 30 cm and u = -15 cm, we find f = 20 cm.
Correct Answer: C — 20 cm
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Q. What is the focal length of a lens if it forms a virtual image at a distance of 12 cm when the object is placed at 8 cm?
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A.
-24 cm
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B.
-12 cm
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C.
12 cm
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D.
24 cm
Solution
Using the lens formula, we find the focal length to be -12 cm.
Correct Answer: B — -12 cm
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Q. What is the focal length of a lens if it forms a virtual image at a distance of 15 cm when the object is placed at 10 cm?
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A.
-30 cm
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B.
30 cm
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C.
15 cm
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D.
10 cm
Solution
Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/(-15) - 1/(-10) = -1/15 + 1/10 = -1/30, thus f = -30 cm.
Correct Answer: A — -30 cm
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