The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

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The angle of minimum deviation in a prism is the angle at which a ray of light passing through the prism emerges parallel to the base of the prism. It is denoted by the symbol "δm".

The angle of a prism is given as 60 degrees. The refractive index of the material of the prism is given as √2.

Using the formula for the angle of minimum deviation, which is given by:

sin[(A+δm)/2]/sin(A/2) = n

where A is the angle of the prism and n is the refractive index of the prism material.

Substituting the given values, we get:

sin[(60+δm)/2]/sin(60/2) = √2

Simplifying this equation, we get:

sin[(30+δm)/2] = 1/√2

Taking the inverse sine of both sides, we get:

(30+δm)/2 = 45

Solving for δm, we get:

δm = 30 degrees

Therefore, the angle of minimum deviation for the prism is 30 degrees.

The angle of a prism is 60^∘ and its refractive index is √2. The angle of minimum deviation suffered by a ray of light in passing through it is 30 degrees.

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The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

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The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

CBSE CLASS XII Related Questions

1.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 ?

3.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

6.A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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 ?

3.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

6.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.