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A slab of stone of area of 0.36 m^(2) an...

A slab of stone of area of `0.36 m^(2)` and thickness `0.1 m` is exposed on the lower surface to steam at `100^(@)C`. A block of ice at `0^(@)C` rests on the upper surface of the slab. In one hour `4.8 kg` of ice is melted. The thermal conductivity of slab is
(Given latent heat of fusion of ice `= 3.63 xx 10^(5) J kg^(-1)`)

A

1.24 J/m/s/`""^(@)C`

B

1.29 J/m/s/`""^(@)C`

C

2.05 J/m/s/`""^(@)C`

D

1.02

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The correct Answer is:
A
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The lower surface of a slab of stone of face-area 3600cm^(2) and thickness 10cm is exposed to steam at 100^(@)C . A block of ice at 0^(@)C rests on the upper surface of the slab. 4.8g of ice melts in one hour. Calculate the thermal conductivity of the stone. Latent heat of fusion of ice =3.36xx10^(5) J kg^(-1)

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