Question

A prism $(\mu =1.5)$ has the refracting angle of ${60}^o$. The deviation of a monochromatic ray incident normally on its one surface will be $(sin{48}^o{36}^{\prime }=0.75)$

• A. ${36}^o{72}^{\prime }$
• B. ${20}^o{30}^{\prime }$
• C. ${18}^o$
• D. ${22}^o{1}^{\prime }$

Answer 1

The correct option is A ${36}^o{72}^{\prime }$

For a prism,

$\mu =\frac{\sin \left(\frac{A+\delta }{2}\right)}{\sin \left(\frac{A}{2}\right)}$

$1.5\times 0.5=\sin \left(\frac{A+\delta }{2}\right)$

$\frac{A+\delta }{2}={48}^o{36}^{\prime }$

$\delta ={36}^o{72}^{\prime }$