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A concave mirror of focal length 100 cm is used to obtain the image of the sun. Which subtends an angle of 30°. The diameter of the image of the sun will be

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100 cm

1.74 cm

0.87 cm

0.435 cm

answer is B.

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Detailed Solution

The angle subtended
$= 30 ° = \frac{π}{360} rad$

$∴ \frac{arc}{radius} = \frac{x}{100} = \frac{1}{2} \times \frac{2 π}{360} = \frac{π}{360}$
$x = \frac{100 π}{360} = 0 .87 cm$

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