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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Refractive index of a glass slab	Uses of Convex Mirror	Parallel combination of resistors using a meter bridge
Optical Density	Uses of Optical Fibre	Resistance of a given wire using meter bridge

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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

2.In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

3.The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

6.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

3.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

6.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?