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All questions of Refraction Through a Lens for Class 10 Exam

The lens which is used to correct myopia (shortsightedness) is
  • a)
    Both convex and concave
  • b)
    Concave lens
  • c)
    Converging lens
  • d)
    Convex Lens
Correct answer is option 'B'. Can you explain this answer?

Raghav Bansal answered
Shortsightedness is corrected using a concave (curved inwards) lens which is placed in front of a myopic eye, moving the image back to the retina and making it clearer.

Which lens always forms diminished and erect image ?
  • a)
    Convex lens
  • b)
    Concave lens
  • c)
    Converging lens
  • d)
    Both convex and concave
Correct answer is option 'B'. Can you explain this answer?

A concave lens (also known as a diverging lens) is thinner in the center and thicker at the edges. When light rays pass through a concave lens, they diverge (spread out), causing the rays to appear to come from a single point on the same side of the lens as the object. This results in the formation of a virtual image.
Key characteristics of the image formed by a concave lens:
  • Diminished: The image is smaller than the actual object.
  • Erect: The image is upright, meaning it has the same orientation as the object.
  • Virtual: The image cannot be projected on a screen because the light rays do not actually meet but only appear to do so when extended backward.
Because of these properties, a concave lens always forms a diminished, erect, and virtual image, no matter where the object is placed in front of the lens.
On the other hand, a convex lens (also known as a converging lens) can form different types of images (real and inverted or virtual and erect) depending on the position of the object relative to the lens. But it does not always form a diminished and erect image, unlike the concave lens.

In a convex lens, where is the image formed, when an object is placed at 2F ?
  • a)
    Between F and 2F
  • b)
    At focus (F)
  • c)
    At 2F on the other side
  • d)
    At 2F on the same side
Correct answer is option 'C'. Can you explain this answer?

Gaurav Kumar answered
At the 2F point, the object distance equals the image distance and the object height equals the image height. As the object distance approaches one focal length, the image distance and image height approaches infinity.

The minimum distance between an object and its real image in a convex lens is (f = focal length of the lens) 
  • a)
    2.5 f
  • b)
    2 f
  • c)
    4 f
  • d)
    f
Correct answer is option 'C'. Can you explain this answer?

Arun Sharma answered
Let the distance between the object and its real image formed by convex lens be d1​.
Let the distance of the object from lens be x,so,the image distance from the lens is (d-x)
The minimum distance between an object and its real image in a convex lens is 4f.
hence,option C is correct.
.

Drop of water behaves likes a
  • a)
    Diverging lens
  • b)
    Concave lens
  • c)
    Convex lens
  • d)
    Both convex and concave
Correct answer is option 'C'. Can you explain this answer?

Krishna Iyer answered
The surface of a water drop curves outward to make a dome. This outward, or convex, curvature bends light rays inward.  will act as a concave lens that bends the light rays outward. As a result, letters seen through the layer of water in a cup appear smaller than they are.

A magnifying glass is a
  • a)
    Both convex and concave
  • b)
    Concave lens
  • c)
    Diverging lens
  • d)
    Convex Lens
Correct answer is option 'D'. Can you explain this answer?

A magnifying glass is a convex lens used to make an object appear much larger than it actually is. This works when the object is placed at a distance less than the focal length from the lens.

Which lens always forms a virtual image ?
  • a)
    Concave lens
  • b)
    Convex lens
  • c)
    Converging lens
  • d)
    Both convex and concave
Correct answer is option 'A'. Can you explain this answer?

Vikram Kapoor answered
Convex (converging) lenses can form either real or virtual images (cases 1 and 2, respectively), whereas concave (diverging) lenses can form only virtual images (always case 3). Real images are always inverted, but they can be either larger or smaller than the object.

The image formed by a convex lens is observed to be virtual, erect and larger than the object. Then the position of the object should be
  • a)
    beyond the centre of curvature
  • b)
    at the centre of curvature
  • c)
    between the focus and the centre of curvature
  • d)
    between the pole and focus
Correct answer is option 'D'. Can you explain this answer?

Ritu Saxena answered
The image formed by a convex lens is observed to be virtual, erect and larger than the object. Then the position of the object should be. If the object is placed between the pole and focus, then the image formed will be virtual, erect and enlarged.

If a lens has a focal length, f = -12 cm. then it is a
  • a)
    Concave lens
  • b)
    Convex lens
  • c)
    Can be convex or concave
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Madhuri bajaj answered

Explanation:

Given Data:
- Focal length, f = -12 cm

Interpreting the Focal Length:
- The negative sign indicates that the lens is a diverging lens.
- For concave lenses, the focal length is always negative.

Concave Lens:
- Concave lenses are also known as diverging lenses.
- They are thinner at the center and thicker at the edges.
- Light rays that pass through a concave lens diverge or spread out.

Conclusion:
- Given the negative focal length of -12 cm, the lens in question is a concave lens.

Therefore, the correct answer is option 'A' - Concave lens.

A convergent lens made of crown glass (refractive index 1.5) has focal length 20cm in air. If it is immersed in a liquid of refractive index 1.60, its focal length will be:​
  • a)
    100cm
  • b)
    160cm
  • c)
    -80cm
  • d)
    -160cm
Correct answer is option 'D'. Can you explain this answer?

Mira Sharma answered
When the lens is in air, we have (from lens maker's equation), 1/20 = [(1.5/1) - 1) (1/R1- 1/R2). 
We are not bothered about the signs of R1 and R2 since they are unknown quantities. 
Even though we know that the convergent lens will become divergent in the denser medium, we write lens maker's equation without bothering about the sign of its unknown focal length in the liquid. If if is the focal length in the liquid, we can write, 
1/f = ((1.5/1.6) - 1) (1/R1 - 1/R2). 
Dividing the first equation by the second, we obtain f/20 = 0.5x1.6/(-0.1) from which f = -160 cm 

We wish to make a plano convex lens of focal length 16 cm from glass having refractive index 1.5. It is to be used in air. What should be the radius of curvature of the curved surface?​
  • a)
    8 cm
  • b)
    16 cm
  • c)
    24 cm
  • d)
    12 cm
Correct answer is option 'A'. Can you explain this answer?

Shruti Sarkar answered
Given parameters:
- Focal length f = 16 cm
- Refractive index of glass n = 1.5
- Medium is air (refractive index n' = 1)

Formula:
The formula for the focal length of a plano-convex lens is given by:
1/f = (n - 1) * (1/R1 - 1/R2)

where R1 is the radius of curvature of the curved surface and R2 is infinity (since the other surface is flat).

Calculation:
Substituting the given values in the formula, we get:
1/16 = (1.5 - 1) * (1/R1 - 0)
1/16 = 0.5/R1
R1 = 0.5 * 16 = 8 cm

Therefore, the radius of curvature of the curved surface should be 8 cm.

Answer: (a) 8 cm

If two thin lenses of power p1 and p2 are held in contact then the power of the combination will be​
  • a)
    p1 +p2
  • b)
    p12 +p22
  • c)
    p1 -p2
  • d)
    (p1 +p2)1/2
Correct answer is option 'A'. Can you explain this answer?

Explanation:
When two thin lenses of power p1 and p2 are held in contact, the power of the combination can be calculated using the lens formula:

1/f = 1/f1 + 1/f2

where f is the focal length of the combination lens, f1 is the focal length of the first lens, and f2 is the focal length of the second lens.

Using the relation p = 1/f, we get:

p = p1 + p2

This means that the power of the combination lens is equal to the sum of the powers of the individual lenses.

Therefore, the correct option is 'A' i.e. p1p2.

Summary:
When two thin lenses are held in contact, the power of the combination is equal to the sum of the powers of the individual lenses.

Is the optical centre always at the centre of lens?
  • a)
    Never
  • b)
    Only if both the curved surfaces are asymmetrical
  • c)
    Only if both the curved surfaces are symmetrical
  • d)
    Yes
Correct answer is option 'C'. Can you explain this answer?

Vivek R answered
1)take a convex lens 2)take a small slice of convex lens away from optical axis(from any of the either side) 3)the small part of the lens now would still act as a lens but the optical centre is outside the body. hence it is necessary that the convex and the concave curves of a convex lens be symmetrical and only then the optical centre would be at the centre of the lens.

Which lens has a virtual focus?
  • a)
    Concave lens
  • b)
    Convex lens
  • c)
    Converging lens
  • d)
    Both convex and concave
Correct answer is option 'A'. Can you explain this answer?

Arun Yadav answered
Concave lenses are thinner at the middle. Rays of light that pass through the lens are spread out (they diverge). A concave lens is a diverging lens. When parallel rays of light pass through a concave lens the refracted rays diverge so that they appear to come from one point called the principal focus.

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