$A$ thin prism $P_1$ with angle $6^{\circ}$ and made from glass of refractive index $1.54$ is combined with another thin prism $P_2$ of refractive index $1.72$ to produce dispersion without deviation. The angle of prism $P_2$ will be

The refractive indices for the light of violet and red colours of any material are $1.66$ and $1.64$ respectively. If the angle of the prism made of this material is $10^o$,then the angular dispersion will be......$^o$.

$A$ prism with a refractive index of $1.53$ is placed in water with a refractive index of $1.33$. If the angle of the prism is $60^{\circ}$,then the angle of minimum deviation in water will be ....$^{\circ}$.

The refractive index of a prism is $\sqrt{2}$ and the angle of the prism is $30^\circ$. One of the refracting surfaces of the prism is polished. $A$ monochromatic beam of light enters the prism and retraces its path. What is the angle of incidence at the first refracting surface of the prism in degrees (in $^\circ$)?

The refractive index of the material of a prism is $\sqrt{2}$ and the angle of the prism is $30^{\circ}$. One of the two refracting surfaces of the prism is made a mirror inwards,by silver coating. $A$ beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is (in $^{\circ}$)

$A$ thin prism of angle $6^{\circ}$ made of glass of refractive index $1.5$ is combined with another prism made of glass of refractive index $1.75$ to produce dispersion without deviation. Then,the angle of the second prism is (in $^{\circ}$)