A point source of light \( S \) is placed on the axis of a lens of focal length \( 20 \mathrm{~c...

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A point source of light \( S \) is placed on the axis of a lens of focal length \( 20 \mathrm{~cm} \) as shown. A screen is placed normal to the axis of lens at a distance \( x \) from it. Treat all rays as paraxial.
(a) As \( x \) is increased from zero, intensity continuously deceases
(b) As \( x \) is increased from zero, intensity first increases then decreases
(c) Intensity at centre of screen for \( x=90 \mathrm{~cm} \) and \( x=110 \mathrm{~cm} \) is same
(d) Radius of bright circle obtained on screen is equal to \( 1 \mathrm{~cm} \) for \( x=200 \mathrm{~cm} \)
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