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In a composite rod, when two rods of different lengths and of the same area are joined end to end. If $K$ is the coefficient of thermal conductivity of composite rod, then $\left( {\frac{{{\ell _1} + {\ell _2}}}{K}} \right)$ is equal to

  • A

    $\frac{{{\ell _1}}}{{{K_1}}} - \frac{{{\ell _2}}}{{{K_2}}}$

  • B

    $\frac{{{\ell _1}}}{{{K_2}}} - \frac{{{\ell _2}}}{{{K_1}}}$

  • C

    $\frac{{{\ell _1}}}{{{K_1}}} + \frac{{{\ell _2}}}{{{K_2}}}$

  • D

    $\frac{{{\ell _1}}}{{{K_2}}} + \frac{{{\ell _2}}}{{{K_1}}}$

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