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Question

Paraxial rays parallel to each other but not parallel to the principal axis fall on a concave mirror as shown in the figure. Find the perpendicular distance of the image from the principal axis.


A
f cotα
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B
fα
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C
f
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D
None of the above
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Solution

The correct option is B fα
Since rays are parallel to each other but not parallel to principal axis, they meet on the focal plane upon reflection.


Let I be the image formed on the focal plane.

From POI:

tanα=hf ....(1)
Since rays are paraxial, α is very small tan αα

So, we can rewrite (1) as

αhfhαf

Hence, option (b) is the correct answer.
Let's try :- If two paraxial rays are parallel to each other as well as parallel to principal axis, where does the rays meet on the principal axis?


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