1.

Angles of deviation for extreme coloursare given for different prisms. Select theone having maximum dispersive powerof its material.(A) 7°, 10° (B) 8°, 11°(C) 12°, 16° (D) 10°, 14°​

Answer»

ANSWER:

Option (a) 7°, 10°

Step-by-step explanation:

DISPERSIVE power of a medium is given by

\boxed{\omega=\frac{\delta_F-\delta_C}{\delta_D}}

where, \delta_F and  \delta_C are the angles of deviation for the blue and RED colours RESPECTIVELY. Also called the difference in the angles of deviation of extreme colours.

\delta_D is the deviation for the yellow colour or mean deviation which is the average of the extreme deviations

Thus, where the difference in \delta_F and  \delta_C divided by the mean deviation is most, will have the MAXIMUM dispersive power

In Option (a) the value of ω = 3/8.5 = 0.35

In Option (b) the value of ω = 3/9.5 = 0.32

In Option (c) the value of ω = 4/14 = 0.29

In Option (d) the value of ω = 4/12 = 0.33

Therefore the maximum dispersive power is that of the values given in Option (a)

Hope this helps.


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