Geometrical OpticsHard
Question
A spherical surface of radius of curvature R, separate air (refrective index 1.0) from the glass (refrective index 1.5). The centre of curvature is in the glass. A point object P placed in air is found to have a real image Q in the glass . The line PQ cuts the the surface at a point O and PO = OQ. The distance PQ is equal to
Options
A.5 R
B.3 R
C.2 R
D.1.5 R
Solution
Let us say PO = OQ = X
Applying
Substituting the values with sing
(Distance are measured from O and are taken positive in the direction of ray of light)
∴
∴ X = 5R
Applying

Substituting the values with sing
(Distance are measured from O and are taken positive in the direction of ray of light)
∴
∴ X = 5RCreate a free account to view solution
View Solution FreeMore Geometrical Optics Questions
If the refractive indices of crown glass for red, yellow and violet colours are 1.5140, 1.5170 and 1.5318 respectively a...An object is immersed in a fluid. In order that the the object becomes invisible, it should :...A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. Th...An object is lying at a distance of 90 cm from a concave mirror of focal length 30 cm. The position and nature of image ...A man wishing to get a picture of a Zebra photographed a white donkey after fitting a glass with black streaks on to the...