Question

the speed of light in vacuum is 3 * 10 to the power 8 M per second and the refractive index of diamond is 2.42 with respect to vacuum find the speed of light in diamond

Answer 1

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$Given,\\\text{Refractive index of diamond} = 2.42\\\text{Speed of light in vacuum} = 3 \times 10^8\\\\We \ know,\\\text{Refractive index} = \frac{\text{Speed of light in vacuum}}{\text{Speed of light in medium}}\\\\2.42 = \frac{3 \times 10^8}{\text{Speed of light in diamond}}\\\\\text{Speed of light in diamond = } \frac{3\times 10^8}{2.42}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~= 1.24 \times 10^8 \ m/s$

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Answer 2

Thus so

GIVEN
➡ SPEED IN LIGHT IN VACUUM = 3 ❌ 10 TO THE POWER 8 M/S

➡ REFRACTIVE INDEX OF DIAMOND . = 2.42

AS WE KNOW
. REFRACTIVE INDEX OF MATERIAL MEDIUM = SPEED OF LIGHT IN VACUUM / SPEED OF LIGHT IN MATERIAL MEDIUM

↪ n m = c / v m

↪ 2.42 = 3 ❌ 10 TO POWER 8 / v m

↪ v m = 3 ❌ 10 ^ 8 / 2.42

. v m = 124 ❌ 10 ^ 6

. v m = 1.24 ❌ 10 ^ 8 M /S

➡ THUS THE SPEED OF LIGHT IN DIAMOND IS 1.24 ❌ 10 ^ 8 M / S .

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