A combination of two prism one of flint &other of crown glass produces dispersion without deviation.The angle of the flint glass prism is 15degree . Calculate the angle of crown glass prism & the dispersion separation of red & violet rays an emergence from spectroscope.refra. index of glass=1.52,re.index of flint=1.62,dispersive power of glass=0.02,dis.power of flint=0.03.
huh?
To solve this problem, we need to use the principles of refraction and dispersion of light.
Let's start by understanding the concept of dispersion. Dispersion refers to the separation of white light into its component colors when passing through a medium, such as a prism. This separation occurs because different colors of light have different wavelengths and therefore different speeds when passing through a medium.
The angle of deviation produced by a prism depends on the refractive index and the angle of the prism. In this case, we are given the angle of the flint glass prism (15 degrees) and the refractive indices of the flint glass (1.62) and the crown glass (1.52).
We are also given the dispersive powers of both glass materials. Dispersive power is a measure of how much a material can separate the colors of light. The dispersive power of flint glass is 0.03 and the dispersive power of crown glass is 0.02. Usually, a higher dispersive power means greater separation of colors.
Now, let's proceed with the calculations:
1. Calculate the angle of the crown glass prism:
We know that the angle of deviation produced by the flint glass is zero (no overall deviation), so we can use the formula for the angle of deviation:
Angle of deviation = (refractive index of flint - refractive index of crown) * (angle of flint glass prism)
Since the angle of deviation is zero in this case, we can solve the equation to find the angle of the crown glass prism:
0 = (1.62 - refractive index of crown) * 15
Rearranging the equation:
refractive index of crown = 1.62 / 15
2. Calculate the dispersion separation of red and violet rays:
We can use the formula:
Dispersion separation = (refractive index of crown - refractive index of flint) * (dispressive power of crown + dispersive power of flint)
Therefore:
Dispersion separation = (refractive index of crown - 1.62) * (0.02 + 0.03)
Let's substitute the value of the refractive index we found in step 1 into the equation:
Dispersion separation = (refractive index of crown - 1.62) * (0.02 + 0.03)
= (1.62 / 15 - 1.62) * (0.02 + 0.03)
Simplifying the equation will give you the dispersion separation value.
By following these steps and substituting the given values, you will be able to calculate the angle of the crown glass prism and the dispersion separation of the red and violet rays.