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Refractive index of glass is $1.5.$ Find the wavelength of a beam of light with a frequency of $10^{14} \mathrm{~Hz}$ in glass. Assume velocity of light is $3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ in vacuum.

1. $3 \; \mu \mathrm{m}$
2. $3 \mathrm{~mm}$
3. $2 \; \mu \mathrm{m}$
4. $1 \; \mu \mathrm{m}$