A deviation of 2$^\circ$ is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass as 0.02 and 0.03 respectively and refractive index for yellow light for these glasses are 1.5 and 1.6 respectively. The refracting angles for crown glass prism will be ____________$^\circ$ (in degree). (Round off to the Nearest Integer)
Answer (integer)
12
Solution
${\delta _{net}} = ({\mu _1} - 1){A_1} - ({\mu _2} - 1){A_2}$<br><br>$2^\circ = ({\mu _1} - 1){A_1} - ({\mu _2} - 1){A_2}$ ....... (1)<br><br>and ${\omega _1}({\mu _1} - 1){A_1} = {\omega _2}({\mu _2} - 1){A_2}$ ..... (2)<br><br>Substituting the values in equation (1) and (2), we get<br><br>$2^\circ = 0.5{A_1} - 0.6{A_2}$ ...... (3)<br><br>$10{A_1} = 18{A_2}$ ...... (4)<br><br>From equation (3) and (4)<br><br>$2^\circ = {{{A_1}} \over 2} - {{{A_1}} \over 3}$<br><br>${A_1} = 12^\circ$
About this question
Subject: Physics · Chapter: Optics · Topic: Refraction and Snell's Law
This question is part of PrepWiser's free JEE Main question bank. 197 more solved questions on Optics are available — start with the harder ones if your accuracy is >70%.