A) \[{{\lambda }_{a/}}{{\lambda }_{m}}\]
B) \[{{\lambda }_{m}}/{{\lambda }_{a}}\]
C) \[{{\lambda }_{a}}\times {{\lambda }_{m}}\]
D) None of these
Correct Answer: A
Solution :
The wavelength of light in air is \[{{\lambda }_{a}}=\frac{c}{v}\] ... (1) Where c= velocity of light in vacuum v= frequency of light The frequency of light never change when it goes to any other medium So, wavelength of light in medium is \[{{\lambda }_{m}}=\frac{c}{\mu v}\] ?(2) \[\mu =\] refractive index of the medium Dividing eq. (1) by eq. (2), we get \[\frac{{{\lambda }_{a}}}{{{\lambda }_{m}}}=\mu \] Hence, \[\mu =\frac{{{\lambda }_{a}}}{{{\lambda }_{m}}}\]
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