A) \[18kHz-30kHz\]
B) \[63kHz-75kHz\]
C) \[442kHz-466kHz\]
D) \[13482kHz-13494kHz\]
Correct Answer: C
Solution :
| [c] \[w=\frac{1}{\sqrt{LC}}\] |
| \[=\frac{1}{\sqrt{49\times {{10}^{-6}}\times \frac{2.5}{10}\times {{10}^{-9}}}}\] |
| \[=\frac{1}{7\times 5\times {{10}^{-8}}}=\frac{{{10}^{8}}}{7\times 5}=w\] |
| \[=\frac{{{10}^{8}}}{7\times 5}=2\pi \times f=2\times \frac{22}{7}\times f\] |
| \[\frac{{{10}^{8}}}{22\times 10}=f\] |
| \[\frac{{{10}^{7}}}{22}=f\] |
| \[\frac{{{10}^{4}}}{22}kHz=f\] |
| \[f=454.54kHz\] |
| For frequency range |
| \[454.54\pm 12kHz\] |
| \[442kHz-466kHz\] |
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