A uniform metallic wire has a resistance of 72\ . It is cut into...

Resistance of the uniform metallic wire, $R = 72 \Omega$

When the wire is cut into six equal parts, the resistance of each part becomes $R' = \dfrac{R}{6} = \dfrac{72}{6} = 12 \Omega$

When these six parts are connected in parallel, the equivalent resistance $R_{eq}$ is given by:

$\dfrac{1}{R_{eq}} = \dfrac{1}{R'} + \dfrac{1}{R'} + \dfrac{1}{R'} + \dfrac{1}{R'} + \dfrac{1}{R'} + \dfrac{1}{R'}$

$R_{eq} = \dfrac{R'}{6}$

$R_{eq} = \dfrac{12}{6} = 2 \Omega$

Answer: $2\ \Omega$