A) \[4400\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[\text{4100}\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[4642.8\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[9100\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
\[x=\frac{(2n+1)\lambda D}{2a}\] For red light \[x=\frac{(4+1)D}{2a}\times 6500\] For unknown wavelength of light, \[x=\frac{(6+1)D}{2a}\times \lambda \] Accordingly \[\therefore \] \[5\times 6500=7\times \lambda \] \[\Rightarrow \] \[\lambda =\frac{5}{7}\times 6500\] \[=4642.8{\AA}\]You need to login to perform this action.
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