Optics Question 495

Question: A lamp is hanging 1 m above the centre of a circular table of diameter 1m. The ratio of illuminaces at the centre and the edge is

[NCERT 1982]

Options:

A) $ \frac{1}{2} $

B) $ {{( \frac{5}{4} )}^{\frac{3}{2}}} $

C) $ \frac{4}{3} $

D) $ \frac{4}{5} $

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Answer:

Correct Answer: B

Solution:

$ \frac{I _{centre}}{I _{edge}}=\frac{{{(r^{2}+h^{2})}^{3/2}}}{h^{3}} $

$ =\frac{{{( 1+\frac{1}{4} )}^{3/2}}}{1^{3}} $

$ ={{( \frac{5}{4} )}^{3/2}} $



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