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)

  • A

    $\frac{{{R^2}{\omega ^2}}}{{5Js}}$

  • B

    $\frac{{{R^2}{\omega ^2}}}{{5J}}$

  • C

    $\frac{{{R^2}\omega }}{{5Js}}$

  • D

    $\frac{{{R^2}{\omega ^2}}}{{5s}}$

Similar Questions

$2\,g$ of steam condenses when passed through $40\,g$ of water initially at $25\,^oC$. The condensation of steam raises the temperature of water to $54.3\,^oC$, ........ $cal/g$ is the  latent heat of steam ?

A clock which keeps correct time at $20\,^oC$ has a pendulum rod made of brass. How many seconds will it gain or lose per day when temperature falls to $0\,^oC$ ? $(\alpha = 18\times10^{-6}/^oC)$

The amount of heat required to change $1\ gm (0^o C)$ of ice into water of $100^o C$, is ............ $\mathrm{cal}$

The value of coefficient of volume expansion of glycerin is $5 \times 10^{-4}\, K^{-1}$. The fractional change in the density of glycerin for a rise of $40\,^oC$ in its temperature, is

Solids expand on heating because ................