Home
Class 11
PHYSICS
The refractive angle of a prism is 60^(@...

The refractive angle of a prism is `60^(@)` . What is the angle of minimum deviation, if the refractive index of the material of the prism is `sqrt2` ?

A

`30^(@)`

B

`35^(@)`

C

`40^(@)`

D

`20^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`n = ( sin ((A + delta_(m))/(2)))/(sin ((A)/(2)))`
` sqrt2 = (sin ((60^(@) + delta_(m))/(2)))/(sin ((60^(@))/(2)))`
But `sin 30^(@) = (1)/(2)`
`therefore sin ((60^(@) + delta_(m))/(2)) = sqrt2 xx (1)/(2) = (1)/(sqrt2) = sin 45^(@)`
`therefore (60^(@) + delta_(m))/(2) = 45^(@)`
`therefore 60^(@) + delta_(m) = 90^(@) therefore delta_(m) = 30^(@)`
Promotional Banner

Topper's Solved these Questions

  • REFRACTION OF LIGHT

    MARVEL PUBLICATION|Exercise Test Your Grasp|10 Videos

  • RAY OPTICS (MIRRORS, LENSES AND OPTICAL INSTRUMENTS)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

The refracting angle of the prismis 60^(@) .What is the angle of incidence for minimum deviation?The refractive index of material of prism is sqrt(2) .

(a) If the refracting angle of a prism is 60^@ and the minimum deviation is 30^@ , then find the angle of incidence. (b) A ray of light passes through an equilateral prism such that the angle of emergence is equal to the angle of incidence and each is equal to 3//4^(th) of the angle of prism. Find the angle of deviation. (c) The refracting of a prism is A and the refractive index of the material of the prism is cotA//2 . Find the angle of deviation. (d) The angle of a prism is 60^@ . What is the angle of incidence for minimum deviation? The refractive index of the material of the prism is sqrt2 .

The angle of the prism is A and B if the angle of minimum deviation is (180^(@) - 2A) then the refractive index of the material of the prism is

A ray of light falling at an angle of 50^@ is refracted through a prism and suffers minimum deviation. The angle of the prism is 60^@ . Find the angle of minimum deviation and refraction index of the material of the prism.

If the angle of prism is 60^(@) and the angle of minimum deviation is 40^(@) , the angle of refraction will be

A monochromatic light is incident at a certain angle on an equilateral triamgular prism and suffers minimum deviation . If the refractive index of the material of the prism is sqrt(3) , them the angle of incidence is :

When light rays are incident on a prism at an angle of 45^(@) , the minimum deviation is obtained. If refractive index of the material of prism is sqrt(2) , then the angle of prism will be

The angle of minimum deviation for prism of angle pi//3 is pi//6 . The refractive index of the material of the prism is.

If the refracting angle of a prism is 60^@ and the minimum deviation is 30^@ , then the angle of incidence is