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  • Define wavefront of a travelling wave. Using the Huygens principle, obtain the law of refraction at a plane interface when light passes from a denser to rarer medium.  

Define wavefront of a travelling wave. Using the Huygens principle, obtain the law of refraction at a plane interface when light passes from a denser to rarer medium.

 

Answers (1)

a) Wave front is a surface of constant phase

b)

 

After time \tau BC is the distance travelled in medium 1 and AE is medium 2.

V_{1}\rightarrow Velocity in medium 1

V_{2}\rightarrow Velocity in medium 2

from \DeltaABC

\sin i = \frac{V_{1}\tau }{AC}

\Delta AEC

\sin r = \frac{V_{2}\tau }{AC}

\frac{\sin i}{\sin r}=\frac{V_{1}}{V_{2}} \; \; \; \; \; -------(1)

n_{1}=\frac{C}{V_{1}}

n_{2}=\frac{C}{V_{2}}

\frac{V_{1}}{V_{2}}=\frac{n_{2}}{n_{1}}\; \; \; \; \; \; \; \; --------(2)

n_{1}\sin i = n_{2}\sin r (from (1) and (2))

Which represents law of refraction

Posted by

Safeer PP

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