Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A deviation of
is produced in the yellow ray when prism of crown and flint glass are achromaticallycombined. Taking dispersive powers of crown and flint glass are
and
respectively and refractiveindex for yellow light for these glasses are
and
respectively. The refracting angles for crown glassprism will be (in degree)
(Round off to the Nearest Integer)
Text Solution
Verified by ExpertsThe correct answer is:
2
To find the refracting angle of the crown glass prism when combined achromatically with flint glass, we can use the formula for the angular dispersion:
\( D = \frac{(\mu_{C} - 1) \cdot A}{(\mu_{C} - 1) + (\mu_{F} - 1)} \approx \frac{(n_{C} - n_{V}) \cdot A}{(n_{C} - n_{R}) + (n_{F} - n_{G})} \)
with \( \mu_{C} \) corresponding to the dispersive power of crown glass and \( \mu_{F} \) for flint glass.
As per the provided values, plug in the refractive indices for these glasses and apply the formula accordingly.
By calculating the values based on provided refractive indices, the final answer will yield approximately 2 degrees after rounding.
\( D = \frac{(\mu_{C} - 1) \cdot A}{(\mu_{C} - 1) + (\mu_{F} - 1)} \approx \frac{(n_{C} - n_{V}) \cdot A}{(n_{C} - n_{R}) + (n_{F} - n_{G})} \)
with \( \mu_{C} \) corresponding to the dispersive power of crown glass and \( \mu_{F} \) for flint glass.
As per the provided values, plug in the refractive indices for these glasses and apply the formula accordingly.
By calculating the values based on provided refractive indices, the final answer will yield approximately 2 degrees after rounding.
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