Question

A thin prism of ${10}^o$ has refractive indices $1.627$ for red and $1.648$ for violet then the angular dispersion produced by the prism is:

• A. ${0.21}^0$
• B. ${0.021}^0$
• C. ${0.0021}^0$
• D. ${0.3275}^0$

Answer 1

The correct option is A ${0.21}^0$

Here, refracting angle is $A={10}^0$

Refracting index for red light is $=1.627$

Refracting index for violet light is $=1.648$

Deviation of light $\delta =(\mu -1)A$

Deviation of light

${\delta }_{violet}-{\delta }_{red}$

$({\mu }_{violet}-{\mu }_{red})A$

$(1.648-1.627)10$

$\left(0.021\right)\times 10$

${0.21}^0$