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A small object is embedded in a glass sphere (μ = 1.5) of radius 5.0 cm at a distance 1.5 cm left to the center. Locate the image of the object as seen by an observer standing:
(a) To the left of the sphere and
(b) To the right of the sphere.
Radius of sphere= R =5.0 cm
Refractive index of sphere =
An object is embedded in a glass sphere at a distance of 1.5 cm from left to center.
(a) When the image is seen by the observer from the left of the sphere
The object distance u= -3.5 cm
Using lens equation:
⇒
⇒
⇒
⇒
Or, (inside the sphere)
Image will be formed, 5cm-3cm= 2cm left to center.
(b) When the image is seen by the observer from the right of the sphere
Object distance =u= - (5.0+1.5) =-6.5 cm
Radius =R =5.0 cm
Using lens equation:
⇒
⇒
⇒
⇒
⇒
⇒
Therefore, the image will be formed 7.65-5=2.65 cm towards left from center.