(B) Given: Initial frequency, $f_1 = 50 \, Hz$.Initial reactance, $X_1 = 10 \, \Omega$.Final frequency, $f_2 = 200 \, Hz$.We know that the inductive r

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(B) Given: Initial frequency, $f_1 = 50 \, Hz$.Initial reactance, $X_1 = 10 \, \Omega$.Final frequency, $f_2 = 200 \, Hz$.We know that the inductive reactance $X_L$ is given by $X_L = \omega L = 2 \pi f L$.Since $L$ is constant, $X_L \propto f$.Therefore, $\frac{X_2}{X_1} = \frac{f_2}{f_1}$.Substituting the values: $\frac{X_2}{10} = \frac{200}{50}$.$\frac{X_2}{10} = 4$.$X_2 = 4 \times 10 = 40 \, \Omega$.

Class 12 Physics Alternating Current Only Inductor, Only Capacitor and Only Resistor Circuit

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The reactance of an inductor at $50 \, Hz$ is $10 \, \Omega$. The reactance of it at $200 \, Hz$ is

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$10 \, \Omega$
B
$40 \, \Omega$
C
$2.5 \, \Omega$
D
$20 \, \Omega$

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Only Inductor, Only Capacitor and Only Resistor Circuit

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The reactance of an inductor at $50 \, Hz$ is $10 \, \Omega$. The reactance of it at $200 \, Hz$ is

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