An electric bulb is rated $60\,W$,$220\,V$. The resistance of its filament is ............. $\Omega$.

  • A
    $708$
  • B
    $870$
  • C
    $807$
  • D
    $780$

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$A$ uniform heating wire of resistance $36 \, \Omega$ is connected across a potential difference of $240 \, V$. The wire is then cut into half and a potential difference of $240 \, V$ is applied across each half separately. The ratio of power dissipation in the first case to the total power dissipation in the second case would be $1:x$,where $x$ is........... .

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