Two known resistances of R Ω and 2R Ω and one unknown resistance… | JEE Main 2026 Physics PYQ

MCQMediumJEE Main 2026 · 21 January, Shift 2Combination of Resistors

Two known resistances of $R \, \Omega$ and $2R \, \Omega$ and one unknown resistance $X \, \Omega$ are connected in a circuit as shown in the figure. If the equivalent resistance between points $A$ and $B$ in the circuit is $X \, \Omega$ , then the value of $X$ is _____ $\Omega$ .

Circuit diagram between points A and B showing a bridge-like network with top branch resistors 2R and X in series and bottom branch resistor R.

A
$R$
B
$(\sqrt{3} - 1)R$
C
$2(\sqrt{3} - 1)R$
D
$(\sqrt{3} + 1)R$

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