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A flint glass prism and a crown glass pr...

A flint glass prism and a crown glass prism are to be combined in such a way that the deviation of the mean ray is zero. The refractive index of flint and crown glasses for the mean ray are 1.620 and 1.518 respectively. If the refracting angle of the flint prism is `6.0^@`, what would be the refracting angle of the crown prism ?

Text Solution

Verified by Experts

The correct Answer is:
B

Given that
Refractive index of flint glass `=mu_f=1.620`
Refractive index of crown glass `=m_e=1.518`
Refractive angle of flint proms =`A_f=6^@`
for zero net deviation of mean by
`(mu_1-1)A_f=(mu_e-1)A_c`
`rarr A_c=(mu_f-1)/(mu_c-1)`
`A_f=(1.620-1)/(1.518-1)(6.0)^@=7.2^0`
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Knowledge Check

  • Refractive index of red and violet light are 1.52 and 1.54 respectively. If the angle of prism in 10^(@) . The angular dispersion will be

    A
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    B
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    C
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    D
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  • Assertion: The refractive index of a prism depends only on the material of the prism. Reason: The refractive index of a prism depends upon the refracting angle and angel of minimum deviation.

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