One end of a $2.35\,\,m$ long and $2.0\,\,cm$ radius aluminium rod$(K = 235 \,\,W.m^{-1}K^{-1})$ is held at $20^0\,\,C$. The other end of the rod is in contact with a block of ice at its melting point. The rate in $kg.s^{-1}$ at which ice melts is
[Take latent heat of fusion for ice as $\frac{{10}}{3} ×10^5 J.kg^{-1} $]
One end of a $2.35\,\,m$ long and $2.0\,\,cm$ radius aluminium rod$(K = 235 \,\,W.m^{-1}K^{-1})$ is held at $20^0\,\,C$. The other end of the rod is in contact with a block of ice at its melting point. The rate in $kg.s^{-1}$ at which ice melts is
[Take latent heat of fusion for ice as $\frac{{10}}{3} ×10^5 J.kg^{-1} $]
- A
$48\pi × 10^{-6}$
- B
$24\pi × 10^{-6}$
- C
$2.4\pi × 10^{-6}$
- D
$4.8\pi × 10^{-6}$
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- [JEE MAIN 2020]
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