Spherical refracting surfaces. An object O stands on the central axis of a spher

Question

Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located. Find (a) the index of refraction on the other side of the refracting surface n2, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side.
(a) (b) (c) n1 n2 p r i R/V Side 2.5 +150 -35 +530
Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located. Find (a) the index of refraction on the other side of the refracting surface n2, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side.
(a) (b) (c) n1 n2 p r i R/V Side 2.5 +150 -35 +530

(a) (b) (c) n1 n2 p r i R/V Side 2.5 +150 -35 +530
(a) (b) (c) n1 n2 p r i R/V Side 2.5 +150 -35 +530

Explanation / Answer

object distance is u=150cm

image distance, v=530 cm

radius of curvature, R=-35cm

refractive index, n1=2.5

refractive index is n2=?

a)

use,

n2/v-n1/u=(n2-n1)/R

n2/530 - 2.5/150 =(n2-2.5)/(-35)

==> n2=2.89

refactive index n2=2.89

and

b)

image is real

c)

position of image is, on the opposite side of the object

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