Optics Question 487

Question: A small lamp is hung at a height of 8 feet above the centre of a round table of diameter 16 feet. The ratio of intensities of illumination at the centre and at points on the circumference of the table will be

[CPMT 1984, 1996]

Options:

A) 1 : 1

B) 2 : 1

C) 22:1

D) 3 : 2

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Answer:

Correct Answer: C

Solution:

Illuminance at A, IA=Lh2

Illuminance at B, IB=L(h2+r2)2cosθ

=Lh(r2+h2)3/2

IAIB=(1+r2h2)3/2

=(1+8282)3/2=23/2=22:1



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