Question

م
Set(B) - The sheed of light in vaccum and a transparent medium is 3x10⁸ m/s and 2.4x10⁸m/s respectively. Find the refractive index of the medium
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Answer 1

$\large \underline \bold{Given :-}$

$\small \bold{speed \: of \: light \: in \: vaccum = 3\times 10^{8} \: m/s}$

$\small \bold{speed \: of \: light \: in \: medium = 2.4\times 10^{8} \: m/s}$

$\large \underline \bold{To \: Find :-}$

$\small \bold{what's \: the \: reflaxive \: index \: of \: the \: medium \: ?}$

$\large \underline \bold{Usable \: Formula :-}$

$\: \: \:$$\large \bold{n = \dfrac{c}{v}}$

$\small \bold{where \: ,}$

$\: \: \:$$\small \bold{n = reflaxive \: index \: of \: transparent \: medium}$

$\: \: \:$$\small \bold{c = speed \: of \: light \: in \: vaccum}$

$\: \: \:$$\small \bold{v = speed \: of \: light \: in \: medium}$

$\large \underline \bold{Solution :-}$

$\small \bold{On \: using \: the \: above \: Formula-}$

$\: \: \:$$\small \bold{n =\dfrac{3\times \cancel{10^{8}}}{2.4\times \cancel{10^{8}}}}$

$\: \: \:$$\small \bold{n =\dfrac{3}{2.4}}$

$\: \: \:$$\small \bold{n =\dfrac{30}{24}=\dfrac{5}{4}}$

$\: \: \:$$\small \bold{n = 1.25}$

$\small \bold{So \: , \: the \: reflaxive \: index \: of \: the \: medium \: is \: 1.25}$

$\small \underline \bold{As \: example -}$

$\small \bold{Reflaxive \: index \: of -}$

$\: \:$$\small \bold{1) \: water = 1.33}$

$\: \:$$\small \bold{2) \: acetone = 1.36}$

$\: \:$$\small \bold{3) \: NaCl = 1.54}$

Answer 2

Answer:

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