Answer:
The frequency is 1.3 kHz.
Explanation:
Given that,
Capacitance of the capacitor, [tex]C=1\ \mu F=10^{-6}\ C[/tex]
Inductance of the inductor, [tex]L=15\ mH=15\times 10^{-3}\ H[/tex]
We need to find the frequency when the inductive reactance equal the capacitive reactance such that :
[tex]X_c=X_L[/tex]
[tex]2\pi fL=\dfrac{1}{2\pi fC}[/tex]
[tex]f=\dfrac{1}{2\pi \sqrt{LC} }[/tex]
[tex]f=\dfrac{1}{2\pi \sqrt{15\times 10^{-3}\times 10^{-6}} }[/tex]
f = 1299.49 Hz
[tex]f=1.29\times 10^3\ Hz[/tex]
or
[tex]f=1.3\ kHz[/tex]
So, the frequency is 1.3 kHz. Therefore, the correct option is (d).
