The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is ${v_e}$ on earth
The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is ${v_e}$ on earth
${v_e}$
$2{v_e}$
$4{v_e}$
$\frac{{{v_e}}}{2}$
The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is ${v_e}$ on earth
$v = \sqrt {2gR} $
$⇒ \frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{g_p}}}{{{g_e}}} \times \frac{{{R_p}}}{{{R_e}}}} = \sqrt {1 \times 4} = 2$
${v_p} = 2{v_e}$
Other Language