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The refractive index of a glass prism is...

The refractive index of a glass prism is 1.65. If the angle of the prism is `60^(@),` find the angle of minimum deviation.

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To find the angle of minimum deviation (D) for a glass prism with a refractive index (μ) of 1.65 and an angle of the prism (A) of 60 degrees, we can use the formula for the refractive index in terms of the angle of the prism and the angle of minimum deviation: \[ \mu = \frac{\sin\left(\frac{A + D}{2}\right)}{\sin\left(\frac{A}{2}\right)} \] ### Step-by-Step Solution: ...
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Knowledge Check

  • Assertion (A) : The refractive index of a prism depends only on the kind of glass of which it is made of and the colour of light. (Reason): The refractive index of a prism depends upon the refracting angle of the prism and the angle of minimum deviation.

    A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If assertion is true but reason is false.
    D
    If the assertion is false but reason is true.

  • The angle of incidence for a ray of light at a refracting surface of a prism is 45^(@) . The angle of prism is 60^(@) . If the ray suffers minimum deviation through the prism. The angle of minimum deviation and refractive index of the material of the prism respectively, are

    A
    `45^(@), sqrt(2)`
    B
    `30^(@), (1)/(sqrt(2))`
    C
    `45^(@),(1)/(sqrt(2))`
    D
    `30^(@), sqrt(2)`

  • The angle of incidence for a ray of light at a refracting surface of a prism is 45^(@) . The angle of prism is 60^(@) . If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are :

    A
    `45^(@), (1)/(sqrt(2))`
    B
    `30^(@), sqrt(2)`
    C
    `45^(@), sqrt(2)`
    D
    `30^(@), (1)/(sqrt(2))`

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