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QJEEM20Ph38fb: JEE Main 2020 Physics - Class 11 JEEM20Ph38fb Solution: A satellite is in an elliptical orbit around a planet P. It is…

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 times 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:

Multiple Choice Options

  • A 1:02
  • B 1:03
  • C 1:06
  • D 3:04

Step-by-Step Verified Solution

JEE Main 2020 (Online) 6th September Morning Slot Physics - Gravitation Question 132 English Explanation By angular momentum conservation

Li = Lf

rminvmax = rmaxvmin .....(i)

Given, vmax = 6vmin

From equation (i),

rmin⁡rmax⁡{{{r_{\min }}} \over {{r_{\max }}}} = vmin⁡vmax⁡=16{{{v_{\min }}} \over {{v_{\max }}}} = {1 \over 6}

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