Which of the following statements must be true about this prism's critical angle for the violet light shown below?

A. The critical angle is exactly 47º.

B. The critical angle is greater than 47°.

C. The critical angle is less than 47°.

D. This question cannot be answered without knowing how light of other colors would behave.

C. The critical angle is less than 47°.

Explanation:

The critical angle is the angle such that the refracted beam is parallel to the surface of the prism, so we will have total internal refraction

This comes from the snell law:

n1*sen(a1) = n2*sen(a2)

where n1 is bigger than n2.

Then:

sen(a1) = (n2/n1)*sin(a2)

n2/n1 is smaller than 1, so the right side only can go up to (n2/n1)*1 (when a2 = 90°)

sen(a1) = n2/n1

this equation defines our critical angle.

If we use an angle bigger than the critical angle, we still have a total internal reflection, so we will no see a refracted beam.

In the image, we can see that the angle between the beam and the normal to the surface of the prism is 47°, and we also can see that we have a refracted beam, this means that 47° must be smaller than the critical angle.

So the correct option is C.

answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods