Question

In each of the figures below, a light beam from a source to your left passes through a block of transparent material (depicted as a rectangle) and air. The transparent material has an index of refraction of 3, the blocks have a width of 3 cm, and the air gap distance is 3 cm. Rank the time of travel for the light rays in situations A-F, breaking ties alphabetically. 2 cm 1 cm | 1 cm A 3 cm 2cm 2 cm 2 cm 3 cm 1 cm 1.5cm 2 cm A B C D F

Answer 1

Here's the main points that to be concerned while finding the total time taken in each case will be are as

• Speed of light in air = 3 × 10⁸ m/s
• Speed of light in transparent material = 3×10⁸/3 = 10⁸m/s
• Time = distance/speed
• Heigher the distance travelled in air lower would be its total time of traveled

Now on the basis of the above mentioned dat lets analysis each case one by one,

T = distance in air/speed in air + distance in material/speed in material

For A

Ta = 50.197 nSec

For B

Tb = (45.764) nSec

For C

Tc = (43.6413) nSec

For D

Td = (50.197) nSec

For E

Te = 45.55 nSec

For F

Tf = (43.6423) nSec

Now here we can see that which have taken heigher time in comparison to others.

Ranking as, highest time taken here will be given most priority ,

A = 1st

B = 2nd

C = 4 rth

D = 1st

E = 3rd

F = 4 rth