A cylindrical rod with one end in a steam chamber and the outer end in ice results in melting of $0.1 \,\,gm$ of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is $1/4$ that of first, the rate at which ice melts is $gm/sec$ will be
$3.2$
$1.6$
$0.2$
$0.1$
The temperature of a body on Kelvin scale is found to be $x\,K.$ When it is measured by Fahrenheit thermometer, it is found to be $x\,^oF$ , then the value of $x$ is
$540\ g$ of ice at $0\ ^oC$ is mixed with $540\ g$ water at $80\ ^oC$. The final temperature of the mixture is
Three liquids with masses $m_1,m_2,m_3$ are thoroughly mixed. If their specific heats are $c_1,c_2,c_3$ and their temperatures $T_1,T_2,T_3$ respectively, then the temperature of the mixture is
A bimetallic strip consists of metals $X$ and $Y.$ It is mounted rigidly at the base as shown in the figure. The metal $X$ has a higher coefficient of expansion as compared to that for metal $Y.$ When the bimetallic strip is placed in a cold bath ?
Two thermometers $X$ and $Y$ have ice points marked at $15^o$ and $25^o$ and steam points marked as $75^o$ and $125^o$ respectively. When thermometer $X$ measures the temperature of a bath as $60^o$ on it, ..... $^oC$ would thermometer $Y$ read when it is used to measure the temperature of the same bath ?