Q23E - University Physics with Modern Physics

Question

A narrow beam of white light strikes one face of a slab of silicate flint glass. The light is traveling parallel to the two adjoining faces, as shown in Fig. E33.23. For the transmitted light inside the glass, through what angle $\mathbf{∆}\mathit{\theta }$is the portion of the visible spectrum between 400 nm and 700 nm dispersed? (Consult the graph in Fig. 33.17.)

Step-by-Step Solution

Answer

The difference between the angle of refraction

Step 1: Snell’s law

The part of the light that continues into the second medium is transmitted rather than reflected, but the transmitted Ray changes direction as it crosses the boundary. Refraction is the transmission of light from one medium to another with a change in direction. Snell's law describes the angles of incidence and refractive right.

Here;

Step 2: For 400nm light

For 400nm light;

n=1.66

Step 3: For 700nm light

For 700nm light;

n=1.61

 

$∆\theta$is the difference between the angle of refraction;

Hence, the difference between the angle of refraction