Minimum deviation in a Prism -

In summary, the problem involves a ray of light incident at an angle of 40 degrees on a 60 degree glass prism with a refractive index of 1.50. The goal is to calculate the angle through which the ray has been deviated as it emerges from the prism. The solution requires applying Snell's law and considering the angle of incidence and refracted light within the prism.
  • #1
reyaz1
3
0

Homework Statement



A ray of light is incident in air at an angle of 40 degrees to the normal to one face of a 60 degree glass prism. Calculate the angle through which the ray has been deviated by the time it emerges from the prism. (refractive index of glass wrt air is given as 1.50)

Homework Equations



I tried using the formula:
n1 = sin(A+D)/2 [tex]\div[/tex] sin(A/2)

where D = 2i - 2r & A = 2r

The Attempt at a Solution



i am not sure how to approach the question, i don't know where to include the angle of incidence, the solution is supposed to be 38.5 degrees. Please, can someone help me out! thanks!
 
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  • #2
Physics is not just plugging in data into a formula you do not understand.

Sketch the problem. Draw an equilateral triangle: this is the prism.
Draw the incident light ray to one side of the prism, making 40° angle with the normal. Apply Snell's law. Draw the refracted light inside the prism. Calculate the new angle of incidence at the side it arrives at. Apply Snell's law again, to get the angle of the emerging light in air. Find the angle between the original light ray and the emerging one.

ehild
 

What is minimum deviation in a prism?

Minimum deviation in a prism refers to the angle at which the light ray passing through the prism is deviated by the minimum amount. It is the smallest angle of deviation that can be achieved by a particular prism and is dependent on the refractive index of the prism material and the angle of incidence of the light ray.

How is minimum deviation measured?

Minimum deviation is measured by placing the prism in a spectrometer and adjusting the angle of incidence of the light ray until the refracted ray is parallel to the incident ray. The angle between the incident ray and the emergent ray is then measured, and the minimum deviation is calculated by subtracting the angle of incidence from the angle of emergence.

What is the significance of minimum deviation in a prism?

The minimum deviation of a prism is an important property as it allows us to calculate the refractive index of the prism material. It is also used in the design of optical instruments such as spectrometers and prisms which are used in spectroscopy and other scientific experiments.

How does the angle of incidence affect minimum deviation?

The angle of incidence of the light ray affects the minimum deviation as it determines the path the light ray takes through the prism. As the angle of incidence increases, the angle of deviation also increases, and the minimum deviation increases. This is because the light ray has a shorter path through the prism, resulting in a smaller angle of deviation.

What factors can affect the minimum deviation in a prism?

The minimum deviation in a prism can be affected by the refractive index of the prism material, the angle of incidence of the light ray, and the wavelength of the light. Changing these factors can alter the path of the light ray through the prism and result in a different minimum deviation angle.

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