A circuit shown consists of three resistors, one capacitor, 2 ideal AC voltmeters and an alternating voltage source of angular frequency $\omega$. Take $R\omega C=1$. If the reading of $V_1$ is V, then the reading of  $V_2$ is  $\frac{V}{n}$, then n is______

Let voltage phasors along PA, AE be x, 2x.
 
And voltage phasors along QB, BF be y, y.  $(asR=\frac{1}{\omega c})$.
The phasors diagram representing them can be drawn as shown

So phasor length AB (ie; reading of  $V_2$) is $=\sqrt{x^2+y^2-2xy\cos {45}^{\circ }}$  (using cosine rule in $\Delta PAB$)
Also  $x+2x=Vand\sqrt{2}y=V$

$\Rightarrow {\text{Reading\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}V}}_2=\frac{V}{2}\sqrt{\frac{5}{2}}$