(a) If the image formed by a mirror for all positions of the object placed in front of it is always diminished, erect and virtual, state the type of the mirror and also draw a ray diagram to justify your answer. Write one use such mirrors are put to and why. (b) Define the radius of curvature of spherical mirrors. Find the nature and focal length of a spherical mirror whose radius of curvature is + 24 cm.
(a) If the image formed by a mirror for all positions of the object placed in front of it is always diminished, erect and virtual, state the type of the mirror and also draw a ray diagram to justify your answer. Write one use such mirrors are put to and why. (b) Define the radius of curvature of spherical mirrors. Find the nature and focal length of a spherical mirror whose radius of curvature is + 24 cm.
(a) The mirror is a convex mirror. The ray diagram for the observation is shown below:
The convex mirror is used as a rear-view mirror in vehicles because it always gives an erect, though diminished, image. Also, it has a wider field of view as it is curved outwards.
(b) The radius of curvature of a spherical mirror is the radius of the sphere of which the reflecting surface of the mirror forms a part. The focal length of a spherical mirror is half of its radius of curvature. Therefore, the focal length of the given spherical mirror is +12 cm. Since the focal length is positive, the mirror is a convex mirror.
Hint
The student should recall the properties of convex mirrors and their applications. The student should also recall the definition of radius of curvature and its relation to the focal length of a spherical mirror.
Analysis & Explanation
The question requires the student to analyze the properties of a convex mirror and its applications. The student should be able to identify the type of mirror and draw a ray diagram to justify the answer. The student should also be able to define the radius of curvature of spherical mirrors and find the nature and focal length of a spherical mirror.
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Frequently Asked Questions
How many marks does this question carry in CBSE Class 10 Science 2017?
This question carries 5 marks in the CBSE Class 10 Science 2017 examination.
Which chapter does this question come from in Science?
This question is from the chapter "Light — Reflection and Refraction" in the CBSE Class 10 Science syllabus.
What topic does this question cover in Science?
This question covers the topic "Spherical Mirrors" from CBSE Class 10 Science.
Has this question appeared in other CBSE Science papers?
Yes, a similar question appeared in the 2017 CBSE Class 10 Science paper.
What type of question is this in the CBSE Class 10 Science 2017 paper?
This is a Long Answer question from Section A in the CBSE Class 10 Science 2017 paper.