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Question: A short pulse of white light is incident from air to a glass slab at normal incidence. After travell...

A short pulse of white light is incident from air to a glass slab at normal incidence. After travelling through the slab, the first colour to emerge is:

A

Blue

B

Green

C

Violet

D

Red

Answer

Red

Explanation

Solution

Since λr>λg>λb>λv,μr<μg<μb<μv\lambda _ { \mathrm { r } } > \lambda _ { \mathrm { g } } > \lambda _ { \mathrm { b } } > \lambda _ { \mathrm { v } } , \mu _ { \mathrm { r } } < \mu _ { \mathrm { g } } < \mu _ { \mathrm { b } } < \mu _ { \mathrm { v } }

(μ=a+b/λ2)\left( \because \mu = a + b / \lambda ^ { 2 } \right)

vr>rg>vb>vv(v=c/μ)\therefore \mathrm { v } _ { \mathrm { r } } > \mathrm { r } _ { \mathrm { g } } > \mathrm { v } _ { \mathrm { b } } > \mathrm { v } _ { \mathrm { v } } \quad ( \because \mathrm { v } = \mathrm { c } / \mu )

After travelling through the slab, red colour will emerge first because it has largest velocity in slab.