As the colour of light varies from red to violet, the refractive index of a certain material changes by 0.014 . A rectangular slab of height 2.00 cm constructed from this material is placed over a newspaper. When

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Quantrex Academy · Accepted Answer

Correct answer: B. 0.027

The refractive index for yellow light is given by

\mu_y = \dfrac{\text{Real depth}}{\text{Apparent depth}}

.

Substituting the given values:

\mu_y = \dfrac{2.00}{1.32} = \dfrac{50}{33}

The dispersive power

\omega

is given by the formula:

\omega = \dfrac{\mu_v - \mu_r}{\mu_y - 1}

Given that the change in refractive index from red to violet is

\mu_v - \mu_r = 0.014

.

Substituting the values into the formula for dispersive power:

\omega = \dfrac{0.014}{\dfrac{50}{33} - 1}

\omega = \dfrac{0.014}{\dfrac{17}{33}}

\omega = \dfrac{0.014 \times 33}{17} = \dfrac{0.462}{17} \approx 0.027

As the colour of light varies from red to violet, the refractive...

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