Two rods $A$ and $B$ of identical dimensions are at temperature $30\,^oC$. If a heated upto $180\,^oC$ and $B$ upto $T\,^oC$, then the new lengths are the same. If the ratio of the coefficients of linear expansion of $A$ and $B$ is $4:3$, then the value of $T$ is........$^oC$

  • [JEE MAIN 2019]
  • A

    $230$

  • B

    $270$

  • C

    $200$

  • D

    $250$

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