A) \[{{10}^{4}}\Omega \]
B) \[2\times {{10}^{4}}\Omega \]
C) \[3\times {{10}^{4}}\Omega \]
D) \[4\times {{10}^{4}}\Omega \]
Correct Answer: B
Solution :
Reactance of inductance is directly proportional to angular frequency \[{{X}_{L}}\propto \omega \] \[\frac{{{X}_{{{L}_{1}}}}}{{{X}_{{{L}_{2}}}}}=\frac{{{\omega }_{1}}}{{{\omega }_{2}}}\] \[\frac{{{10}^{4}}}{{{X}_{{{L}_{2}}}}}=\frac{{{10}^{4}}}{2\times {{10}^{4}}}\] \[{{X}_{{{L}_{2}}}}=2\times {{10}^{4}}\Omega \]
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