Question

A combination of two prisms, one of flint and other of crown glass produces dispersion without deviation. The angle of flint glass prism is 15^@. Calculate the angle of crown glass prism and angular separation of red and violet rays on emergence from the spectroscope. (mu for crown glass = 1.52, mu for flint glass = 1.65, omega for crown glass = 0.02, omega for flint glass = 0.03).

Answer 1

Answer:

Angle of prism of flint glass prism is 1.2 degree

Angular dispersion of the combination of two prism is 0.0078 degree

Explanation:

As we know that the net deviation of two prism is given ZERO

So we will have

$(\mu_1 - 1)A_1 + (\mu_2 - 1)A_2 = 0$

so we have

$(1.52 - 1)(1.5) + (1.65 - 1) A  = 0$

Now we have

$A = -1.2 ^o$

Now we know that power of the prism is given as

$\omega = \frac{(\mu_v - \mu_R)A}{(\mu - 1)A}$

so we have net dispersion of two prism is given as

$\eta = \omega_c (\mu - 1)A_c + \omega_f(\mu - 1)A_f$

$\eta = 0.02(1.52 - 1)(1.5) - 0.03(1.65 - 1)(1.2)$

$\eta = 0.0156 - 0.0234$

$\eta = 0.0078$

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Topic : Combination of prism

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