Two satellites of masses m_1 and m_2 ( m_1 > m_2 ) are revolving … - Vidyadip

MCQ

Two satellites of masses ${m_1}$ and ${m_2}({m_1} > {m_2})$ are revolving round the earth in circular orbits of radius ${r_1}$ and ${r_2}({r_1} > {r_2})$ respectively. Which of the following statements is true regarding their speeds ${v_1}$ and ${v_2}$ ?

A
${v_1} = {v_2}$
✓
${v_1} < {v_2}$
C
${v_1} > {v_2}$
D
$\frac{{{v_1}}}{{{r_1}}} = \frac{{{v_2}}}{{{r_2}}}$

✓

Answer

Correct option: B.

${v_1} < {v_2}$

b
(b)$v = \sqrt {\frac{{GM}}{r}} $if ${r_1} > {r_2}$ then ${v_1} < {v_2}$
Orbital speed of satellite does not depends upon the mass of the satellite

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