A small object is embedded inside a glass sphere ( = 1.5 ) of radius 5.0 cm , located at a distance of 1.5 cm left to the centre. Determine the position of the image of the object as seen by an observer standing to the left of the sphere.

Step-by-step solution

The formula for refraction at a single spherical surface is: ₂ v - ₁ u = ₂ - ₁ R The observer is to the left of the sphere, so the refraction occurs at the left surface. Let the pole be at the left surface. Taking the direction of incident light (from right to left) as positive, distances to the right of the pole are taken as negative. Refractive index of the medium of the object (glass), ₁ = 1.5 Refractive index of the medium of the observer (air), ₂ = 1 The radius of the sphere is 5.0 cm . The centre of curvature