Question

An object starts moving at an angle at with the principal axis as shown in fig in front of a biconvex lens of focal length . If denotes the angle at which image starts to move with principal axis, then:

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A

B

C

D

Hard
Solution
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Correct option is D)

;
So, from , we get:

Magnification: ............ (i)
Hence vertical velocity of image is same as that of object but in reverse direction.
Let the horizontal velocity be
We have:
Differentiating w.r.t. time, we get:
 
[using (i)]
Hence angle made by velocity vector of image is

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