Three students X, Y and Z are finding the focal length of the given concave mirror by obtaining the image of the object selected by them. X obtains the image of the grill of the nearest window of the lab. Y obtains the image of a white painted building near the lab and Z obtains a point size image of the sun. The most correct value of the focal length is obtained by
Three students X, Y and Z are finding the focal length of the given concave mirror by obtaining the image of the object selected by them. X obtains the image of the grill of the nearest window of the lab. Y obtains the image of a white painted building near the lab and Z obtains a point size image of the sun. The most correct value of the focal length is obtained by
Options
The correct option is C.
Marking Scheme
- 1Identify that the Sun is at an infinite distance and its image is formed at the focus (0.5 marks)
- 2Conclude that Student Z obtains the most accurate focal length (0.5 marks)
Hint
Recall that light rays from an object at infinity (like the Sun) converge exactly at the principal focus of a concave mirror.
Quick Oral Answer
The image of an object at infinity is formed at the principal focus of a concave mirror, whereas the image of a nearby object is formed beyond the focus.
Analysis & Explanation
According to the NCERT text (Activity 9.2 and 9.3), the Sun is at an infinite distance from the concave mirror. The rays of light coming from an object at infinity are parallel to the principal axis and, after reflection, converge at the principal focus () of the concave mirror. Therefore, a sharp, point-sized image of the Sun is formed exactly at the focus. Measuring the distance between the mirror and this point-sized image gives the most accurate focal length.
- Why C is correct: Student Z uses the Sun (an object at infinity), so the image is formed precisely at the focus, giving the most correct focal length.
- Why A and B are incorrect: Student X (window grill) and Student Y (nearby building) use objects at finite distances. For finite object distances, the image is formed beyond the focus () (between and ), which would yield an incorrect, larger value for the focal length.
Common Mistakes
- 1Students often confuse nearby distant objects like a window grill with objects at infinity, leading to errors in focal length measurement.
Interesting Facts
The heat produced by concentrating sunlight at the focus of a large concave mirror is so intense that it can easily ignite paper or run solar furnaces.
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Frequently Asked Questions
How many marks does this question carry in CBSE Class 10 Science 2012?
This question carries 1 mark in the CBSE Class 10 Science 2012 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 "Focal Length of Concave Mirror" from CBSE Class 10 Science.
What type of question is this in the CBSE Class 10 Science 2012 paper?
This is a MCQ question from Section B in the CBSE Class 10 Science 2012 paper.