Question

V1 v2 v3 are the velocities of voilet red and green. correct relation (a) V1 v2>v3 (c) V1
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Answer 1

$\sf\huge\bold{Answer:}$

Given :

Velocity of Violet light = $\tt v_1$

Velocity of Red light = $\tt v_2$

Velocity of Green light = $\tt v_3$

To find :

»› relation between velocities of violet, red and green lights.

Solution :

$\fbox{VIBGYOR}$

• Violet
• Indigo
• Blue
• Green
• Yellow
• Orange
• Red

We all know that refractive index of VIBGYOR decreases as we move from V to R.

$\tt μ_V > μ_R$

where,

$\tt μ_V$ is Refractive index of Violet light.

$\tt μ_R$ is Refractive index of Red light.

• Refractive index is also equal to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.

$\tt\ μ = \frac{c}{v}$

• It can be concluded that μ is inversely proportional to v as c(velocity of light) is constant.

$\tt\ μ∝ \frac{1}{v}$

Hence,

• more the μ lesser will be the v.

$\tt :⟶ μ_V > μ_G > μ_R$

$\tt = v_R > v_G > v_V$

$\tt{ = v_2 > v_3 > v_1}$

$\huge\mathrm{Correct\:Sequence\:Is\: :-}$

$\huge\tt\purple{ v_2 > v_3 > v_1}$