A) \[4000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[5000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[6000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[5500\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: A
Solution :
Frequency \[(f)=5\times {{10}^{14}}Hz.\] \[\therefore \] Wavelength of light \[(\lambda )=\frac{c}{f}=\frac{3\times {{10}^{8}}}{5\times {{10}^{14}}}\] \[=6\times {{10}^{-7}}m=6000\overset{\text{o}}{\mathop{\text{A}}}\,\] \[\therefore \]Wavelength in medium of refractive index \[\lambda '=\frac{\lambda }{\mu }\] \[=\frac{6000}{1.5}=4000\overset{\text{o}}{\mathop{\text{A}}}\,\]
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