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\[(f)=5\times {{10}^{4}}Hz\]. \[\therefore \] 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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