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A lantern gives an image of 3m square of a slide 7.62cm s...

A lantern gives an image of 3m square of a slide 7.62cm square on a screen. If the screen is 10m from the projection lens of the lantern, calculate the focal length of the lens

A.

40.3cm

B.

26.1cm

C.

24.8cm

D.

0.7cm

E.

0.3cm

Correct answer is C

M = \(\frac{V_H}{U_H} = \frac{300}{7.62}\)

= 39.3

U = \(\frac{V}{M} = \frac{1000}{39.3}\) = 25.44

\(\frac{1}{f} = \frac{I}{U} + \frac{I}{V} = \frac{I}{25.44} = \frac{I}{1000} = \frac{1025.44}{25440}\)

f = \(\frac{25440}{1025.44} = 24.8\)