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A biconvex lens of focal length f forms ...

A biconvex lens of focal length f forms a circular image of radius r of sun in focal plane . Then which option is correct

A

` pi r^(2) prop f`

B

` pi r^(2) prop f^(2)`

C

If lower half part is covered by black sheet, then area of the image is equal to `( pi r ^(2))/( 2)`

D

If f is doubled, intensity will increase

Text Solution

Verified by Experts

The correct Answer is:
B

`tan beta = (AB)/(AC) rArr AB = AC tan beta `
`rArr 2 r = f tan beta `
Area of image `(pi r^(2)) prop f^(2)`
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