$(3)$ we saw that a planet$/$star will have lost its atmosphere if the average molecular speed exceeds one$-$sixth of the escape speed. $($a$)$ Calculate the molecular speed of the hydrogen gas $($protons$)$ in the Solar corona which has a temperature of $10$ million K$.($b$)$ If the Solar corona is located at a distance of $20$ million km from the centre of the Sun, calculate the escape velocity of protons from the Solar corona. $($c$)$ Can the Solar corona retain protons inside it$?$