A) 2.507
B) 1.0339
C) 8.324
D) 1.000
Correct Answer: B
Solution :
Eccentricity, \[e=\frac{{{r}_{\max }}-{{r}_{\min }}}{{{r}_{\max }}-{{r}_{\min }}}=0.0167\] Therefore, \[\frac{{{r}_{\max }}}{{{r}_{\min }}}=\frac{1+e}{1-e}\] \[=\frac{1-0.0167}{1+0.0167}\] As angular momentum remains constant, hence \[{{r}_{\max }}\times v{{v}_{\min }}={{r}_{\min }}\times {{v}_{\max }}\] \[\therefore \] \[\frac{{{v}_{\max }}}{{{v}_{\min }}}=\frac{{{r}_{\max }}}{{{r}_{\min }}}=\frac{1+0.0167}{1-0.0167}\] \[=1.0339\]
You need to login to perform this action.
You will be redirected in
3 sec
