Question

Q:-State Snell's law of refraction of light. Express it mathematically. Write the relationship between absolute refraction index of a medium and speed of light in vacuum.

Q:-the refractive index of medium A with respect to medium B is 2/3 the refractive index of B with respect to C is 4/3 find the refractive index of C with respect to A​

Answer 1

$\huge \: \: \: here \: answer$

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$\huge\red{snells \: law}$

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.: The ratio of the sine of the angle of incidence to the ratio of sine of angle of refraction is a constant for a light of a specified colour and for the specified pair of media.

$\huge\red{mathematically}$

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$\bold\blue{sin \: i \div sin \: r = constant}$

$\huge\red{absolute \: refrectve \: index}$

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$\bold\blue{nm = c \div v}$

where nm is the refractive index of the medium, c is the speed of light in vacuum and v is the speed of light in the medium.

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$\bold\pink{question \: 2 \: in \: attachment }$

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Answer 2

HERE IS UR ANS

SNELL'S LAW === The ratio of sine of angle of incidence ( sin i ) to the sine of angle of refraction ( sin r ) is constant for the light of a given colour ( wavelength ) and for the given pair of media .

Mathematically, it is expressed as :

$\frac{sin \: i}{sinr} = constant$

RELATIONSHIP BETWEEN ABSOLUTE REFRACTIVE INDEX OF A MEDIUM AND SPEED OF LIGHT IN VACUUM==

The refractive index of a given medium with respect to vacuum or air is called the absolute refractive index of the medium and simply represented by the symbol n with base m.

It is expressed in equation form as :

$\frac{speed \: of \: light \: in \: vacuum or \: air}{speed \: of \: light \: in \: the \: given \: medium} = \frac{c}{v}$

NUMERICAL ---

A/B= 2/3

B/C=4/3

A/B*B/C=2/3*4/3

A/C=8/9

C/A= 9/8

So, the refractive index of Z with respect to X is 9/8 .

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