A resistance of \( 2 \Omega \) is connected across one gap of a meter-bridge (the length of the ...

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A resistance of \( 2 \Omega \) is connected across one gap of a meter-bridge (the length of the wire is \( 100 \mathrm{~cm} \) ) and an unknown resistance, greater than \( 2 \Omega \), is connected across the other gap. When these resistances are interchanged, the balance point shifts by \( 20 \mathrm{~cm} \). Neglecting any corrections, the unknown resistance is
[IIT-JEE 2007; Similar CBSE PMT 2014]
(a) \( 3 \Omega \)
(b) \( 4 \Omega \)
(c) \( 5 \Omega \)
(d) \( 6 \Omega \)
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