Verified Solution • 2025–26 Session moderate

QJEEM22Phe0f3: JEE Main 2022 Physics - Class 11 JEEM22Phe0f3 Solution: Two satellites and , having masses in the ratio , are revolving …

Two satellites A\mathrm{A} and B\mathrm{B} , having masses in the ratio 4:34: 3 , are revolving in circular orbits of radii 3r3 \mathrm{r} and 4r4 \mathrm{r} respectively around the earth. The ratio of total mechanical energy of A\mathrm{A} to B\mathrm{B} is :

Multiple Choice Options

  • A 9:16
  • B 16:09
  • C 1:01
  • D 4:03

Step-by-Step Verified Solution

U=−GMem2rU = - {{G{M_e}m} \over {2r}}

So, UAUB=mAmB×rBrA{{{U_A}} \over {{U_B}}} = {{{m_A}} \over {{m_B}}} \times {{{r_B}} \over {{r_A}}}

=43×43=169= {4 \over 3} \times {4 \over 3} = {{16} \over 9}

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