$\begin {array} {1 1} (A)\;4 \\ (B)\;6 \\ (C)\;Non-integral\: answer. \: The \: described\: situation\: is\: not \: possible \\ (D)\;None \: of \: these \end {array}$

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In the first case, $(3E)^2 \large\frac{t}{R}$ $=ms \Delta T$

In the second case, $ ( NE)^2 \large\frac{t}{2R} $ $ = (2m) s \Delta T$

Note here that as the length is doubled, the resistance and the mass, both are doubled.

Solving the equations give $N = 6.$

One gets non-integer answers if the effect of mass is not taken care of.

Ans : (B)

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