A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 18.66° to the vertical, what is the index of refraction of the syrup solution? (b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution. (c) Find its frequency in the solution. In Hz (d) Find its speed in the solution. In m/s

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A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water.

(a) If the beam is refracted to 18.66° to the vertical, what is the index of refraction of the syrup solution?

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution.

(c) Find its frequency in the solution. In Hz

(d) Find its speed in the solution. In m/s

Expert Solution
Given

Given:

Incident angle,θi=30.20Refracted angle,θr=18.660Refractive Index of water,μi=1Wavelength,λ=632.8nm=632.8×10-9mSpeed of light,c=3×108m/s

When light or other waves flow through a border between two distinct isotropic media, such as water, glass, or air, Snell's law is a formula used to describe the connection between the angles of incidence and refraction.

In optics, Snell's law is a connection between the path traveled by a beam of light as it crosses the boundary or separation surface between two interacting substances and their respective refractive indices.

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