Saved Bookmarks
| 1. |
If both the mass and radius of the earth decreases by 1%, the value of |
|
Answer» acceleration due to gravity would decrease by nearly 1% The new value of g would be `g.=(G(0.99" M"))/((0.99 R)^(2))=1.01(GM)/(R^(2))` Thus, g would increase by about `1%`. The new escape velocity would be `v_(e )=sqrt((2xx0.99" M"xxG)/(0.99 R))=sqrt((2MG)/(R ))=v_(e )` Thus, the escape velocity will remain unchanged. The potential energy of a body of mass m on the earth.s surface would be `-(Gm(0.99" M"))/((0.99 R))=-(GmM)/(R )`. Thus, the potential energy will also remain unchanged. Hence, the CORRECT CHOICE are (b) and (d). |
|