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7. gravitation — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
A satellite is in an elliptical orbit around a planet $P.$ It is observed that the velocity of the satellite when it is farthest from the planet is $6$ time less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is$......$
  • ✓
    $1:6$
  • B
    $3:4$
  • C
    $1:3$
  • D
    $1:2$
✓

Answer

Correct option: A.
$1:6$
a
By angular momentum conservation

$r _{\min } V _{\max }= r _{\max } V _{\min } \quad \ldots( i )$

Given $V _{\min }=\frac{ V _{ max }}{6}$

from equation $(i)$

$\frac{r_{\min }}{r_{\max }}=\frac{V_{\min }}{V_{\max }}=\frac{1}{6}$

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