For a given LCR series circuit which of the following graph shows the variation of impedance (Z) with frequency (v) of the source

The correct answer is Option (2)

Impedance, $Z=\sqrt{R^2+(X_L-X_C)^2}$

$=\sqrt{R^2+(2πfL-\frac{1}{2πfC})^2}$

when,

$f=\frac{1}{2π\sqrt{LC}}$ (resonance frequency)

$⇒Z=R$

∴ for $f>\frac{1}{2π\sqrt{LC}}$ ⇒ Z start increasing

for $f<\frac{1}{2π\sqrt{LC}}$ ⇒ Z start decreasing