Optics Question 794

Question: A short linear object of length i lies along the axis of a concave mirror of focal length f at a distance u from the pole of the mirror. The size of the image is approximately equal to

Options:

A) $ \ell {{( \frac{u-f}{f} )}^{1/2}} $

B) $ \ell {{( \frac{u-f}{f} )}^{2}} $

C) $ \ell {{( \frac{f}{u-f} )}^{1/2}} $

D) $ \ell {{( \frac{f}{u-f} )}^{2}} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The axial magnification $ \delta v=-\frac{v^{2}}{u^{2}}\frac{dt}{dt} $

$ ={{( \frac{f}{u-f} )}^{2}}\ell . $



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