If the earth suddenly stops revolving and all its rotational $KE$ is used up in raising its temperature and if $'s'$ is taken to be the specific heat of the earth's material, the rise of temperature of the earth will be : ( $R -$ radius of the earth and $\omega =$ its angular velocity, $J =\,Joule$ constant)
$\frac{{{R^2}{\omega ^2}}}{{5Js}}$
$\frac{{{R^2}{\omega ^2}}}{{5J}}$
$\frac{{{R^2}\omega }}{{5Js}}$
$\frac{{{R^2}{\omega ^2}}}{{5s}}$
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
The volume of a metal sphere increases by $0.15\%$ when its temperature is raised by $24\,^oC$.The coefficient of linear expansion of metal is
Amount of heat required to raise the temperature of a body through $1 ^o C$ is called its
‘Stem Correction’ in platinum resistance thermometers are eliminated by the use of
Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is