Question

If the speed of the light in vaccum is 3×10^8m/s , find the absoluterefractive index of a medium in which light travels with a speed of 1.4×10^8m/s.

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Answer 1

Answer:

2.14

Explanation:

REFRACTIVE INDEX OF A MEDIUM= RATIO OF SPEED OF SPEED OF LIGHT IN AIR TO SPEED OF LIGHT IN THE GIVEN MEDIUM.

REFRACTIVE INDEX IS REPRESENTED BY (MU)

FOR THIS CASE LETS SAY IT

$\beta$

NOW

$\beta = speed \: of \: light \: in \: air \div speed \: of \: light \: in \: given \: medium$

FOR THIS CASE:

SPEED OF LIGHT IN GIVEN MEDIUM=

$1.4 \times {10}^{8} m \div s$

AND OBVIOUSLY SPEED OF LIGHT IN AIR

$= 3 \times {10}^{8} m \div s$

THEREFORE AFTER INPUTTING UPPER VALUES INTO FORMULA TO FIND REFRACTIVE INDEX WE GET:

$\beta = 3 \times {10}^{8} m \: pe r \: sec \div 1.4 \times {10}^{8} m \: per \: sec$

$= 3 \div 1.4$

$= 2.14(approxiamately)$

THERE FORE REFRACTIVE INDEX OF GIVEN MEDIUM IS 2.14(APPROX.)

______________________________________

BY SCIVIBHANSHU

THANK YOU

STAY CURIOUS.

Answer 2

Answer:

It is given by the ratio of speed of light in vaccum to the speed of light in a medium. So, So, the absolute refractive index of a medium is 2.14