Question

The speed of light in air and water are 3*10^8 m/s and 2.25 * 10^8m/s . Respectovely refrective index of water is 4/3 . Then find the velocity of light in vaccum​

Answer 1

Question

The speed of light in air and water are 3*10^8 m/s and 2.25 * 10^8m/s . Respectively refractive index of water is 4/3 . Then find the velocity of light in vacuum ?

Solution

Given:-

• Speed of light in air = 3 × 10^8 m/s.
• Speed of light in water = 2.25 × 10^8 m/s.
• Refractive index of water = 4/3

Find:-

• Speed of light in vacuum .

Explanation

Important Formula

★ Speed of light in vacuum = Speed of light in water × Refractive index of water.

So,

==> Speed of light in vacuum = 2.25 × 10^8 * 4/3

==> Speed of light in vacuum = 0.75 × 4 × 10^8

==> Speed of light in vacuum = 3 × 10^8 .m/s

Thus

• Speed of light in vacuum = 3 × 10^8 m/s.

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Answer 2

Explanation:

$\bf \huge \: Question \: \:$

• The speed of light in air and water are 3*10^8 m/s and 2.25 * 10^8m/s . Respectovely refrective index of water is 4/3 . Then find the velocity of light in vaccum

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$\bf \huge \: To\: Find \:$

• The velocity of light in vaccum

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$\bf \huge \: Given\: \:$

• Speed of light in air$\bf\: = 3 × 10^8 m/s.\:$
• Speed of light in water$\bf\: = 2.25 × 10^8 m/s.\:$
• Refractive index of water $\bf\:= 4/3 \:$

$\bf\: We\: \: Have \: \:Formula \:$

Substituting the values in the formula for refractive index :

Speed of light in vacuum = Speed of light in water × Refractive index of water.

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then,

$\bf\:Putting \:The \:Value\: In \:The \:Formula \:$

Speed of light in vacuum = 2.25 ×10^8*4/3

$\bf\:On \:Multiplying\:$

Spd of Lgt in Vcm$\bf\: = 9.00×10^8*1×3\:$

9 is cut from the multiplication of 3

$\bf\:= 3 × 10^8 .m/s\:$

We received$\bf\: 3 × 10 ^ 8.\:$

the velocity of light in vaccum $\bf\:3 × 10 ^ 8.\:$