Verified Solution • 2025–26 Session moderate

QJEEM19Ph3747: JEE Main 2019 Physics - Class 11 JEEM19Ph3747 Solution: Two satellites, A and B, have masses m and 2m respectively. A…

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is ;

Multiple Choice Options

  • A 2
  • B 12{{1 \over 2}}
  • C 12\sqrt {{1 \over 2}}
  • D 1

Step-by-Step Verified Solution

Orbital velocity V = GMer\sqrt {{{GMe} \over r}}

TA = 12{1 \over 2} mA V A2_A^2

TB = 12{1 \over 2} mB V B2_B^2

⇒\Rightarrow TATB=m×GmR2m×Gm2R{{{T_A}} \over {{T_B}}} = {{m \times {{Gm} \over R}} \over {2m \times {{Gm} \over {2R}}}}

⇒\Rightarrow    TATB{{{T_A}} \over {{T_B}}} = 1

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