Saved Bookmarks
| 1. |
The potential energy of a body is given by `U=9/x^(2)-2/x` The position at which its speed can be maximum is.A. `x=+3m`B. `x=-3m`C. `x=9m`D. `x=-9m` |
|
Answer» Correct Answer - C `U=-2/x+9/x^(2)` `(du)/dx=+2/x^(2)-18/x^(3)` ` f=-(du)/dx=-2/x^(2)+18/x^(3)` `f=0Rightarrowx=+9` `(d^(2)U)/dx^(2)=-4/x^(3)+54/x^(4)` `at x=9 (d^(2)U)/dx^(2)=(d^(2)U)/dx^(2)=[-4+6//27]ge=0Rightarrow potential energy is minimum` |
|