Question

light enter from air into diamond which has a refractive index of 4.2 calculate the speed of light in air is 3.0×108 m/s ​

Answer 1

Answer:

$\huge \sf{\underbrace{\underline{Elucidation:-}}}$

Perfect question :-

• Light enters from air into diamond which has a refractive index of 4.2.Calculate the speed of light in diamond .The speed of light in air is 3×10^8 m/s.

Given :-

• Light enters from air into diamond which has a refractive index of 4.2.And speed of light in air is 3×10^8m/s.

To find :-

• Speed of light in diamond .

Explanation :-

• We know that ,

• Refractive index of medium = speed of light in air /speed of light in that medium
• Then,

• Refractive index of of diamond =speed of light in air / speed of light in diamond
• We know that,

• Speed of light in air =3×10^8m/s

Therefore ,

• Speed of light in diamond =speed of light in air / Refractive index of diamond

• 4.2=3×10^8/v

• v= 3×10^8/4.2

• v=7.14×10^7m/s

here we can also get answer by,

• u=c/v

• Applying the values

• 4.2=3×10^8/v
• v=3×10^8/4.2
• v=7.14×10^7m/s

Hence,

• Speed of light in diamond =7.4×10^7m/s.

Hope it helps u mate .

Thank you .

Answer 2

⇝ Appropriate Question :-

Light enter from air into diamond which has a refractive index of 4.2.

Calculate the Speed of light in Diamond if Speed of light in air is 3.0 × 10⁸ m/s.

⇝ Given :-

Light enter from air into diamond.

Diamond has refractive index of 4.2.

⇝ To Find :-

Speed of light in Diamond.

⇝ Solution :-

❒ We Know, that refractive index of any medium is given by the formula :

$\Large \red \bigstar \: \: \orange{\bf{\underbrace{\underline{\pmb{\mu} = \frac{{c}}{v}}}}}$

Where,

• μ = Refractive Index of medium

• c = Speed of light in air

• v = Speed of light in medium

Here in the Question ;

• μ = 4.2

• c = 3.0 × 10⁸ m/s

• v = To be Find

❒ Putting Values In Formula :

$:\longmapsto 4.2 = \frac{3 \times {10}^{8} }{\text v}$

$:\longmapsto\text v = \frac{3 \times10 {}^{8} }{4.2}$

$\purple{ \large :\longmapsto  \underline {\boxed{{\bf v = 7.14 \times {10}^{7} m/s} }}}$

Hence,

$\large\underline{\pink{\underline{\frak{\pmb{ \text Speed \: of \: Light \: in \: Diamond = 7.14\times10^7 \: m/s }}}}}$