Question

if speed of light in glass is 2×10⁸ m/sec and refractive index of glass with respect to water in ³/² fimd out speed of light in water​

Answer 1

Answer:

Step-By-Step answer:

Given data:

Speed of light in water = 2.2 ×108m/s.

Let it is denoted by Vw

Therefore, Vw = 2.2 ×108m/s.

Now it is also given that speed of light in glass = 2 ×108m/s.

Let it is denoted by Vg

Therefore, Vg

= 2 ×108m/s.

Let the refractive index of the water be μw

and the refractive index of the glass be μg.

Now we all know the relation of speed of light in any medium when comes from air it is given as,

⇒V=Cμ

Where, V = Speed of light in the medium

             c = Speed of light in air or vacuum = 3×108 m/s.              μ

= refractive index of the medium.

Now the speed of light in the water is given as

⇒Vw=Cμw...................... (1)

And the speed of light in the glass is given as

⇒Vg=Cμg...................... (2)

Now divide equation (2) from equation (1) we have,

⇒VgVw=CμgCμw=μwμg

Now substitute the values of speed of light in water and the glass we have,

⇒2×1082.2×108=μwμg

Now simplify this we have,

⇒μw/μg=22.2=0.909

⇒μw=0.909μg

So the refractive index of glass with respect to the water is 0.909.

Explanation:

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