AP EAMCET · PHYSICS · Gravitation
Two satellites \(A\) and \(B\) are revolving around the earth in orbits of heights \(1.25 R_E\) and \(19.25 R_E\) from the surface of earth respectively, where \(R_E\) is the radius of the earth. The ratio of the orbital speeds of the satellites \(A\) and \(B\) is
- A \(5: 1\)
- B \(4: 1\)
- C \(9: 1\)
- D \(3: 1\)
Answer & Solution
Correct Answer
(D) \(3: 1\)
Step-by-step Solution
Detailed explanation
\(r_A = R_E + 1.25 R_E = 2.25 R_E\) \(r_B = R_E + 19.25 R_E = 20.25 R_E\) \(\frac{v_A}{v_B} = \sqrt{\frac{r_B}{r_A}}\) \(\frac{v_A}{v_B} = \sqrt{\frac{20.25 R_E}{2.25 R_E}} = \sqrt{9} = 3\) Ratio \(= 3:1\)
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