The ratio of the equivalent resistance of the network (shown in figure) between the points $a$ and ${b}$ when switch is open and switch is closed is ${x}: 8 .$ The value of ${x}$ is ..... .
JEE MAIN 2021, Diffcult
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$R_{e q \text { open }}=\frac{3 R}{2}$
$R_{e q \text { closed }}=2 \times \frac{R \times 2 R}{3 R}=\frac{4 R}{3}$
$\frac{{R}_{\text {eq open }}}{{R}_{\text {eq closed }}}=\frac{3 R}{2} \times \frac{3}{4 {R}}=\frac{9}{8}$
$\therefore \quad {X}=9$
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