Question

Given that, velocity of light in quartz = 1.5 x 108
m/s and velocity of light in glycerine = (9/4)
108 m/s. Now a slab made of quartz is placed in
glycerine as shown. The shift of the object
produced by slab is​

Answer 1

Answer:

Explanation:

[suppose, thickness = 18 cm

and object is at 20cm left side of the slab.]

=> It is given that,

velocity of light in quartz = 1.5 x 10^8  m/s

velocity of light in glycerine = (9/4) x 10^8 m/s

Now, the value of refractive index for the two mediums.

n(of quartz with respect to glycerine) = (9/4) * 10^8 * 1 / 1.5 * 10^8 = 3/2

=> The shift of the object produced by slab:

the lateral shift = t(1 - 1/n)

= 0.18 * (1 - 2/3)

=0.18 * (1/3)

= 0.18 * 0.33

= 0.0594 m ≈ 0.06 m

= 6 cm

Thus, The shift of the object produced by slab is 6 cm.