Write n1sin θ1 = n2sin θ2.
Then n1sin θ1 ÷ n2 = n2sin θ2 ÷ n2.
(n1/n2)sin θ1 = sin θ2.
Finally, θ2 = arcsin [(n1/n2)sin θ1].
Jessica G.
asked 08/15/19Step by step please. I dont seem to understand it
Write n1sin θ1 = n2sin θ2.
Then n1sin θ1 ÷ n2 = n2sin θ2 ÷ n2.
(n1/n2)sin θ1 = sin θ2.
Finally, θ2 = arcsin [(n1/n2)sin θ1].
Jim L. answered 08/15/19
Personable, effective English, Math and Science Tutor
The steps are pretty simple, Jessica. theta1 is the angle of incidence of alight wave as it approaches a barrier between two mediums with different indexes of refraction(n1 and n2). Theta 2 is the angle of reflection.
So, a light wave approaches travelling along theta one througn1, crosses the line and is reflected into n2 at a different angle.
So, n1(sin theta 1) = n2(sin theta 2) - divide both sides by n2
Sin (theta2) = n1 (sin(theta1) / n2
So, theta2 = sin^-1 (sin theta1)* n2/n1
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