A) wavelength is doubled and the frequency remains unchanged
B) wavelength is' doubled and frequency becomes half
C) wavelength is halved and frequency remains unchanged
D) (d) wavelength and frequency both remain unchanged.
Correct Answer: C
Solution :
For vacuum,\[{{\varepsilon }_{0}}=1\] For medium,\[\varepsilon =4\] So, refractive index \[\mu =\sqrt{\varepsilon /{{\varepsilon }_{0}}}=\sqrt{4/1}=2\] Wavelength, \[\lambda '=\frac{\lambda }{\mu }=\frac{\lambda }{2}\] and wave velocity, \[v=\frac{c}{\mu }=\frac{c}{2}\] Hence, it is clear that wavelength and velocity will become half but frequency remains unchanged when the wave is passing through any medium.
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