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Question

Physics Question on the earth's magnetic field

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

A

9 : 16

B

16 : 9

C

1 : 1

D

4 : 3

Answer

16 : 9

Explanation

Solution

The correct option is(B): 16 : 9.

=UAUB=mAmB×rBrA=\frac{U_A}{U_B}=\frac{mA}{m_B}×\frac{r_B}{r_A}

=43×43=\frac{4}{3}×\frac{4}{3}

169\frac{16}{9}