JEE Main 20203 SeptemberMorning Shift
- Exam
- JEE Main
- Year
- 2020
- Date
- 3 September
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Gravitation
JEE Main 2020 · 3 September · Morning Shift · Physics · Gravitation
A satellite is moving in a low nearly circular orbit around the...
A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion so that it become times larger. Due to this the farthest distance from the centre of the earth that the satellite reaches is . Value of is :
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
From angular momentum conversation
- \dfrac{GMm}{{R}_{e}} + \dfrac{1}{2}m{\left(\sqrt{\dfrac{3}{2}}V\right)}^{2} = - \dfrac{GMm}{{R}_\max} + \dfrac{1}{2}m{V}_\min^{2}
From angular momentum conversation
\sqrt{\dfrac{3}{2}}{VR}_{e} = {V}_\min{R}_\max
Eliminating from equation (i) and (ii) we get
{R}_\max = 3{R}_{e}