1.

Same quantity of ice is filled in each of the two metal containers P and having the same size, shape and wall thickness but made of different materials. The containers are kept in identical surroundings. The ice in P melts completely in time t_1, whereas that in Q takes a time t_2. The ratio of thermal conductivities of the materials of P and Q is

Answer»

`t_2 : t_1`
`t_1:t_2`
`t_1 :t_(2)^(2)`
`t_(2)^(2) :t_(1)^(2)`

SOLUTION :Let`K_1and K_2 `be thethermalcondictivitiesofcontainersP and QRESPECTIVELY
Asthe samequanitityof icemelts in Pand Qthequanitityof heatflowsinP andQ MUSTBE same
` thereforeQ = (K_1A(T_1 -T_2)t_1)/(X) = (K_2 A(T_1 -T_2)t_2)/(x)`
` orK_1 T_1 = k_2t_2or(k_1)/(k_2) = (t_2)/(t_1)`


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