Question

A spectrum is formed by a prism of dispersive power ${}^{\prime }{\omega }^{\prime }$. If the angle of deviation is ${}^{\prime }{\delta }^{\prime }$ then the angular dispersive is .

• A. $\omega /\delta$
• B. $\delta /s$
• C. $1/\omega \delta$
• D. $\omega \delta$

Answer 1

The correct option is D $\omega \delta$

Given:
Dispersive power $=\omega$
Angle of deviation $=\delta$
$\frac{Angulardispersion}{{\delta }_{mean}}=Dispersivepower$
$\Rightarrow \frac{{\delta }_v-{\delta }_r}{{\delta }_{mean}}=\omega$
$\Rightarrow {\delta }_v-{\delta }_r=Angulardispersion=\omega {\delta }_{mean}$