a thin section is cut from a solid sphere of glass of radius 25cm the section is then used as a lens to focus an image of the sun at a distance of 50cm from the centre of lens.
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Image formed by lens
v
1
−
u
1
=
f
1
v
1
+
30
1
=
20
1
v=+60cm
If image position does not change even when mirror is removed it means image formed by lens is formed at centre of curvature of spherical mirror.
Radius of curvature of mirror = 80−60=20cm
⇒focal length of mirror f=10cm for virtual image, object is to be kept between focus and pole.
⇒ maximum distance of object from spherical mirror for which virtual image is formed, is 10cm.
Explanation:
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