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Test: Reflection by Spherical Mirror - Class 10 MCQ


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16 Questions MCQ Test Science Class 10 - Test: Reflection by Spherical Mirror

Test: Reflection by Spherical Mirror for Class 10 2024 is part of Science Class 10 preparation. The Test: Reflection by Spherical Mirror questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Reflection by Spherical Mirror MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Reflection by Spherical Mirror below.
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Test: Reflection by Spherical Mirror - Question 1

When a mirror is rotated through an angle θ, the reflected ray from it turns through an angle of

Detailed Solution for Test: Reflection by Spherical Mirror - Question 1

Consider a plane-mirror and a fixed incident ray of light reflecting from the surface at an angle θi. Before the mirror has rotated, the angle of incidence is θ as is the angle of reflection. If the mirror is rotated through an angle φ the normal is rotated by an angle &phi and thus the angle of incidence increases to θ+φ. Therefore, the angle of reflection must also increase by φ to θ+φ The difference between the final angle of reflection and the initial angle of reflection and is 2φ.
Hence, For a fixed incident ray, the angle of the reflection is twice the angle through which the mirror has rotated: thetaf= 2φ

Test: Reflection by Spherical Mirror - Question 2

A ray of light, which is parallel to the principal axis of the concave mirror, after reflection passes through the

Detailed Solution for Test: Reflection by Spherical Mirror - Question 2

An incident ray which passes through the focus of the mirror is reflected parallel to the principal axis. An incident ray which passes through the centre of curvature of the mirror is reflected back along its own path (since it is normally incident on the mirror).

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Test: Reflection by Spherical Mirror - Question 3

A ray of light is reflected by the pole of a concave mirror at an angle of 80o. The angle of incidence will be​

Detailed Solution for Test: Reflection by Spherical Mirror - Question 3

angle of incidence= angle of reflection

Test: Reflection by Spherical Mirror - Question 4

For spherical mirrors

Detailed Solution for Test: Reflection by Spherical Mirror - Question 4
Explanation:

  • First Law of Reflection: This law states that the angle of incidence is equal to the angle of reflection. This law is valid for spherical mirrors as well.

  • Second Law of Reflection: This law states that the incident ray, the reflected ray, and the normal to the surface of the mirror all lie in the same plane. This law is also valid for spherical mirrors.

  • Conclusion: Both laws of reflection are valid for spherical mirrors. Therefore, the correct answer is option A: Both laws of reflection are valid.

Test: Reflection by Spherical Mirror - Question 5

The nature of the image formed by the convex mirror is always

Detailed Solution for Test: Reflection by Spherical Mirror - Question 5

Image formed by convex mirror:

  • Convex mirrors always form virtual images.
  • These images are erect, meaning they are not inverted.
  • Virtual images are formed when the reflected light rays diverge and appear to meet at a point behind the mirror.
  • These images cannot be projected on a screen as they are not real.
  • Therefore, the nature of the image formed by a convex mirror is always virtual and erect.

  •  

 

Test: Reflection by Spherical Mirror - Question 6

For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 6

The focal length (f) and radius of curvature (R) of a spherical mirror are related by the equation:
R = 2f
Given:
f = 12 cm
Calculate the radius of curvature:
R = 2 × 12 cm
R = 24 cm
Thus, the correct answer is:C: 24 cm


     
Test: Reflection by Spherical Mirror - Question 7

To determine focal length of a concave mirror a student obtains the image of a well lit distant object on a screen. To determine the focal length of the given concave mirror he needs to measure the distance between:

Detailed Solution for Test: Reflection by Spherical Mirror - Question 7

The distance between mirror and the screen will give the focal length of the mirror as the mirror focuses the light on the screen.

Test: Reflection by Spherical Mirror - Question 8

An inverted image can be seen by using a convex mirror under what circumstances ?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 8

The image formed by a convex mirror is always virtual and erect irrespective of the position of the object.

Test: Reflection by Spherical Mirror - Question 9

A ray of light passes through the focus of the mirror. After reflection, it

Detailed Solution for Test: Reflection by Spherical Mirror - Question 9

A ray which is parallel to the principal axis after reflection from  mirror will always pass through principal focus. The distance between  principal focus and pole is known as focal length and is half the centre of curvature of the mirror.

Test: Reflection by Spherical Mirror - Question 10

Which one of the following pairs regarding spherical mirrors is correctly matched?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 10
  • Objective: The correct answer is Option B:
  • Option A: (a) is correct because the pole is the centre of the reflecting surface itself, not the centre of curvature.
  • Option C Principal Axis - Line passing through the pole and the centre of curvature. This is because the principal axis is indeed defined as the straight line passing through the pole and the centre of curvature of a spherical mirror.
  • Option D: (d) is incorrect because the radius of curvature is the distance between the centre of curvature and the mirror, not the distance between the principal focus and the mirror. Thus, the correctly matched pair is Option B: (b).
Test: Reflection by Spherical Mirror - Question 11

What determines the position of the image of a point object formed by a spherical mirror?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 11

The position of the image of a point object formed by a spherical mirror is determined by the intersection of at least two reflected rays. These rays help locate the image of the object, showcasing the principles of reflection in optics.

Test: Reflection by Spherical Mirror - Question 12

The image formed by a concave mirror when the object is placed between the focus and center of curvature is _______.

Detailed Solution for Test: Reflection by Spherical Mirror - Question 12

- When an object is placed between the focus (F) and the center of curvature (C) of a concave mirror:
- The image formed is on the opposite side of the mirror.
- It is real because it can be projected on a screen.
- The image is inverted relative to the object.
- It is enlarged, meaning it appears bigger than the object itself.
- Therefore, option C ("Real, inverted and enlarged") is the correct answer.

Test: Reflection by Spherical Mirror - Question 13
In the New Cartesian Sign Convention, which distance is considered positive?
Detailed Solution for Test: Reflection by Spherical Mirror - Question 13
According to the New Cartesian Sign Convention, distances measured above the principal axis are taken as positive, while those below it are taken as negative. Distances measured to the right of the mirror are positive, and those to the left are negative.
Test: Reflection by Spherical Mirror - Question 14

An object 5 cm tall is placed 20 cm in front of a concave mirror with a focal length of 10 cm. What is the height of the image?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 14

To find the height of the image formed by a concave mirror, we use the mirror formula and magnification formula:
Mirror formula: 1/f = 1/v + 1/u
Magnification (m) = -v/u = h'/h
Given:
Object height (h) = 5 cm
Object distance (u) = -20 cm (object distance is negative in the mirror formula)
Focal length (f) = -10 cm (focal length is negative for concave mirrors)
Step-by-step solution:
Using 1/f = 1/v + 1/u:
1/(-10) = 1/v + 1/(-20)
-1/10 = 1/v - 1/20
-1/10 + 1/20 = 1/v
-2/20 + 1/20 = 1/v
-1/20 = 1/v
v = -20 cm
Calculate magnification (m):
m = -v/u = -(-20)/(-20) = 1
Image height (h') = m * object height (h):
h' = 1 * 5 cm = 5 cm
Since the image is formed on the same side as the object (inverted), the height is negative:
h' = -5 cm
Therefore, the correct answer is:
C: -15 cm


     
Test: Reflection by Spherical Mirror - Question 15

If the image formed by a concave mirror is at a distance of 40 cm from the mirror, and the object is 30 cm from the mirror, what is the focal length of the mirror?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 15

Test: Reflection by Spherical Mirror - Question 16

An object 2 cm tall is placed 10 cm in front of a concave mirror with a focal length of 5 cm. What is the size of the image?

Detailed Solution for Test: Reflection by Spherical Mirror - Question 16

Use the mirror formula:
1/v + 1/u = 1/f
Here, u = -10 cm (object distance, negative for concave mirror) and f = -5 cm (focal length, negative for concave mirror)
Calculate v (image distance):
1/v = 1/f - 1/u = -1/5 + 1/10 = -1/10
v = -10 cm
Use magnification formula:
m = -v/u = -(-10)/(-10) = -1
Size of image = m × object height = -1 × 2 cm = -2 cm


     
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