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Q.

A point source of light S is placed on the axis of a lens of focal length 20 cm as shown. A screen is placed normal to the axis of lens at a distance x from it. Treat all rays as paraxial.

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a

Radius of bright circle obtained on screen is equal to 1 cm for x=200 cm

b

As x is increased from zero intensity continuously decreases

c

Intensity at centre of screen for x=90 cm and x=110 cm is same

d

As x is increased from zero intensity first increases then decreases

answer is B, C, D.

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Detailed Solution

1v-1u=1f 1v=1-25-125 v=100 cm 

from x = 0 to x = 100 cm , intensity increases and then decreases  At x=90 cm & 110 cm intensity is same .From similar triangles ,radius at x = 200 cm is equal to radius of lens.

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