Flint glass prism is joined by a crown glass prism to produce dispersion without deviation.

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Question: Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are 1.602 and 1.500 respectively. The angle of prism of flint prism is 10^o, then the angle of prism for crown prism will be?

When the Flint glass prism and Crown glass prism are joined together to produce dispersion without deviation, it means that the deviation caused by the Flint glass prism is cancelled out by the deviation caused by the Crown glass prism.

Let the angle of the Crown glass prism be θ. Then the angle of the Flint glass prism is given as 10 degrees.

The refractive index of Flint glass for mean rays is 1.602, and the refractive index of Crown glass for mean rays is 1.500.

Using the formula for deviation produced by a prism:

δ = (μ - 1) A

where δ is the deviation produced by the prism, μ is the refractive index of the material of the prism, and A is the angle of the prism.

For the Flint glass prism, the deviation produced is:

δ_Flint = (1.602 - 1) x 10 = 6.02 degrees

For the Crown glass prism, the deviation produced is:

δ_Crown = (1.500 - 1) x θ

Since the total deviation produced is zero, we can write:

δ_Flint + δ_Crown = 0

Substituting the values, we get:

6.02 + (1.500 - 1) θ = 0

Solving for θ, we get:

θ = -6.02 / 0.500 = -12.04 degrees

Since the angle of a prism cannot be negative, we take the absolute value of θ, which gives:

θ = 12.04 degrees

Therefore, the angle of the Crown glass prism is approximately 12.04 degrees.

Flint Glass Prism Joined by Crown Glass Prism

Flint Glass Prism Joined by Crown Glass Prism

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Flint glass prism is joined by a crown glass prism to produce dispersion without deviation.

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Flint glass prism is joined by a crown glass prism to produce dispersion without deviation.

CBSE CLASS XII Related Questions

1.This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

3.Write two advantages of reflecting telescope over refracting telescope.

6.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

3.
Write two advantages of reflecting telescope over refracting telescope.

6.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?