If the mass of sun were ten times smaller and gravitational constant G were ten times larger in magnitudes a) walking on ground would become more difficult b) the acceleration due to gravity on earth will not change c) raindrops will fall much faster d) aeroplanes will have to travel much faster
Correct option is D) When G increases ten times, the acceleration due to gravity on earth becomes g′=RE2(10G)(ME)=RE210GME=10g(∵g=RE2GME) Hence, statement (b) is incorrect. ∴ Weight of person = mg′=m(10g)=10mg where m is the mass of the person Gravity pull on person will increase. Due to it, Walking on ground would become more difficult. Hence, (a) is a correct statement. Terminal speed of rain drop, vT=92ηr2(ρ−σ)g Where the symbols have their usual meanings. Since vT∝g, as g increases, vT increases. Hence, (c) is a correct statement. To overcome the increasing gravitational pull of the earth, the aeroplanes will have to travel much faster.
