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One mole of a uniform rod of length `1` m is placed in boiling water while its other end is placed in melting ice A point P on the rod is maintained at a constant temperature of `800^(@)C`. The mass of steam produced per second. Is equal to the mass of ice melted per second. If specific latent heat of steam is `7` times the specific latent heat of ice, then distance of `P` from the steam chamber is `n//18 m` . Find the value if n ?

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Verified by Experts

The correct Answer is:
B

Let `(dm_("steam"))/(dt)=(d)/(dt)m_(ice)=m`

`impliesQ_(steam)=7mLandQ_(ice)=mL`
i.e., `Q_(steam)=7Q_(ice)`
`impliesRA(800-100)/(x)=7RA(800-0)/(1-x)impliesx=(1)/(9)m`
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