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`).

Explanation

To solve the problem step by step, we will follow the principles of optics related to prisms and their refractive indices.

### Step 1: Understand the condition of dispersion without deviation
When two prisms are combined to produce dispersion without deviation, the deviation caused by one prism must be equal and opposite to the deviation caused by the other prism.

### Step 2: Write the formula for deviation
For a thin prism, the deviation (Δ) is given by:
\[
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