LaTex check



Blog Image
LaTex check

A solid sphere of uniform density and radius \( R \) cools radiatively with a time constant \( \tau \) as per the following expression: \[ T(t) = T_s + (T_h - T_s)e^{-t/\tau}, \] where \( T_h \) is the initial temperature of the object and \( T_s \) is the surrounding temperature. Then, \begin{itemize} \item \textcolor{red}{\sout{1. \( \tau \propto R^2 \)}} \item \textcolor{red}{\sout{2. \( \tau \propto R^3 \)}} \item \textcolor{red}{\sout{3. \( \tau \propto R^0 \)}} \item \textcolor{green}{\checkmark \, 4. \( \tau \propto R \)}