Question

the radius of the earth reduces by 4%, density remaining the same, then the escape velocity will :

(a) increase by 4% 
(b) increase by 2% 
(c) decrease by 4% 
(d) decrease by 2%

Answer 1

$\huge\bold\color{green}{Hello \: Friend \: !!}$


$\purple {\bold {Here \: is \: your \: answer }}$


$\underline\bold {Answer : Decrease \: by \: 4 \: percent }$


$\bold {We \: know \: that : }$


$\bold {V_e \: is \: directly \: proportional \: to \: R \sqrt{p} }$


$\bold {Also \: given, density \: is \: constant.}$


$\bold {So, V_e \: is \: directly \: proportional \: to \: R}$


$\bold{So, If \: R \: reduces \: by 4 \: percent, V_e \: also \: reduces \: by \: 4 \: percent}$


$\mathbb {\huge {\fcolorbox{yellow}{green}{Hope It Helps }}}$

Answer 2

(b) the escape velocity will be Increases by 2%