A crown glass prism of refracting angle 6o is to be used for deviation without dispersion with a flint glass of angle of prism α . Given: for crown glass μ r=1.513 and μ v=1.523, for flint glass μ r=1.645 and μ v=1.665. What should be the value of α ?

Question

A crown glass prism of refracting angle 6o is to be used for deviation without dispersion with a flint glass of angle of prism α . Given: for crown glass μ r=1.513 and μ v=1.523, for flint glass μ r=1.645 and μ v=1.665. What should be the value of α ? (A) 3o (B) 4o (C) 4.5o (D) 5o

Tardigrade Admin · Accepted Answer

⇒(μV1-μr1) α1=(μV2-μr2) α2 or ⇒ α2=((1.523-1.513)/(1.665-1.645)) 6°=3o

Q. A crown glass prism of refracting angle $6^{o}$ is to be used for deviation without dispersion with a flint glass of angle of prism $α$ . Given: for crown glass $μ_{r} = 1.513$ and $μ_{v} = 1.523,$ for flint glass $μ_{r} = 1.645$ and $μ_{v} = 1.665.$ What should be the value of $α$ ?

$3^{o}$

$4^{o}$

$4. 5^{o}$

$5^{o}$

$\Rightarrow (μ_{V_{1}} - μ_{r_{1}}) α_{1} = (μ_{V_{2}} - μ_{r_{2}}) α_{2}$
or $\Rightarrow α_{2} = \frac{( 1.523 - 1.513 )}{( 1.665 - 1.645 )} 6^{\circ} = 3^{o}$

Q. A crown glass prism of refracting angle 6o is to be used for deviation without dispersion with a flint glass of angle of prism α . Given: for crown glass μr​=1.513 and μv​=1.523, for flint glass μr​=1.645 and μv​=1.665. What should be the value of α ?

3o

4o

4.5o

5o