Question

Two satellites of masses m₁ and m₂ (m₁ > m₂) are revolving round the earth in circular orbit of radii r₁ and r₂ (r₁ > r₂) respectively. Which of the following statements is true regarding their speeds v₁ and v₂?

Options

• v₁ = v₂

• v₁ > v₂

• v₁< v₂

• `"v"_1/"r"_1 = "v"_2/"r"_2`

Answer 1

v₁< v₂

Explanation:

`"v" = sqrt ("GM"/"r")`

v is independent of mass of the satellite.

`"v"_1/"v"_2 = sqrt("r"_2/"r"_1)`

`therefore "v"_2 > "v"_1`      `[  because "r"_1 > "r"_2]`