problem;what a fused quartz n=146 make angle 45 degree with normal line enter unknown material ligth ray refracted make a angle of 22 degree find index of unknown material. write a equation for problem ,using snells law and information given in the problem of this statement.
sin(Angleincidence)*nincidence= sin(Anglerefracted)*nrefracted
N(quartz) = 1.46, not 146.
Snells's law is
N1*sin(theta) = N2*sin(theta2)
In your case, solve for N2.
1.46 sin45 = N2*sin 22
N2 = 1.46*(.70711)/(.37461) = 1.8876
A beam of light passes from the fused quartz of a bottle (n = 1.46) into the ethyl alcohol (n = 1.36) that is contained inside the bottle. If the beam of the light inside the quartz makes an angle of 25.0° with respect to the normal of both substances, at what angle to the normal will the light enter the alcohol?
1.46 sin (25)=1.36 sin (x) s.s
= 26.98
To solve this problem, we can use Snell's law, which states that the index of refraction of the first medium multiplied by the sine of the angle of incidence is equal to the index of refraction of the second medium multiplied by the sine of the angle of refraction.
Let's break down the given information:
- The incident ray is passing from fused quartz (n1 = 1.46).
- The angle of incidence (θ1) is 45 degrees with the normal.
- The refracted ray passes into an unknown material.
- The angle of refraction (θ2) is 22 degrees.
Using Snell's law, the equation for this problem would be:
n1 * sin(θ1) = n2 * sin(θ2)
Plugging in the values we have:
1.46 * sin(45°) = n2 * sin(22°)
To find the index of the unknown material (n2), we can rearrange the equation:
n2 = (1.46 * sin(45°)) / sin(22°)
Now, let's calculate the index of the unknown material using this equation:
n2 = (1.46 * 0.7071) / 0.3746
n2 ≈ 2.742
Therefore, the index of the unknown material is approximately 2.742.