A) \[4000\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[4500\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[9000\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: A
Solution :
Refractive index, \[\mu =\frac{\lambda }{{{\lambda }_{m}}}\] or \[{{\lambda }_{m}}=\frac{\lambda }{\mu }\] Putting \[\lambda =\frac{c}{v}\] Than \[{{\lambda }_{m}}=\frac{c}{v\mu }\] So, \[{{\lambda }_{m}}=\frac{3\times {{10}^{8}}}{5\times {{10}^{14}}\times 1.5}m=4000\overset{\text{o}}{\mathop{\text{A}}}\,\]
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