A) \[{{t}_{i}}=4{{t}_{2}}\]
B) \[{{t}_{i}}=2{{t}_{2}}\]
C) \[{{t}_{i}}={{t}_{2}}\]
D) \[{{t}_{i}}>{{t}_{2}}\]
Correct Answer: B
Solution :
[b] According to Kepler's law, the areal velocity of a planet around the sun always remains constant. \[\operatorname{SCD} : {{A}_{1}}-{{t}_{1}}\](areal velocity constant) \[\operatorname{SAB} : {{A}_{2}}-{{t}_{2}}\] \[\frac{{{A}_{1}}}{{{t}_{1}}}=\frac{{{A}_{2}}}{{{t}_{2}}},\,\,{{t}_{1}}={{t}_{2}}.\frac{{{A}_{1}}}{{{A}_{2}}},\left( given\,{{A}_{1}}=2{{\operatorname{A}}_{2}} \right)\] \[={{t}_{2}}.\frac{2{{\operatorname{A}}_{2}}}{{{A}_{2}}}\therefore {{t}_{1}}=2{{t}_{2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
