Four wires of the same diameter are connected in turn between two points, maintained at a constant potential difference. Their resistivities are; $\rho $ and $L$ (wire $1$ )., $1.2\,\rho $ and $1.2\,L$ (wire $2$ ), $0.9\,\rho $ and $0.9\,L$ (wire $3$ ) and $\rho $ and $1.5\,L$ (wire $4$ ). Rank the wires according to the rates at which energy is dissipated as heat, greatest first

  • [AIIMS 2010]
  • A

    $4 > 3 > 1 > 2$

  • B

    $4 > 2 > 1 > 3$

  • C

    $1 > 2 > 3 > 4$

  • D

    $3 > 1 > 2 > 4$

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  • [AIIMS 2011]