Dispersive Power

If a glass prism is dipped in water, its dispersive power:

Here, A \angle A denotes Angle of Prism.

doesn't change decreases may increase or decrease depending on whether A \angle A is less than or greater than 60° increases

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Arjen Vreugdenhil
Jan 13, 2018

Snell's law of refraction states that the product n θ n\theta is the same on both sides of an interface. Here, θ \theta is the angle between the light ray and the normal,, and n n the index of refraction.

Since n air < n water < n glass n_{\text{air}} < n_{\text{water}} < n_{\text{glass}} , it follows that θ air > θ water > θ glass \theta_{\text{air}} > \theta_{\text{water}} > \theta_{\text{glass}} for comparable light rays. It follows that Δ θ water glass < Δ θ air glass \Delta\theta_{\text{water}\to\text{glass}} < \Delta\theta_{\text{air}\to\text{glass}} .

Or, since the transition from glass to water involves a smaller change in refractive index n n , it will also result in a smaller change in direction angle θ \theta , leading to decreased dispersion.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...