Statement I: The speed of revolution of an artificial satellite revolving very near the earth is 8 kms-1 Statement II: Orbital velocity of a satellite, become in dependent of height of near satellite.

Question

Statement I: The speed of revolution of an artificial satellite revolving very near the earth is 8 kms-1 Statement II: Orbital velocity of a satellite, become in dependent of height of near satellite. (A) If both statement I and statement II are true and statement II is the correct explanation of statement I (B) If both statement I and statement II are true but statement II is not the correct explanation of statement I (C) If statement I is true but statement II is false (D) If both statement I and statement II are false

Tardigrade Admin · Accepted Answer

v0 = Re √(g/Re + h) For satellite revolving very near to earth Re + h = Re As (h < < R) v0 = √Reg ≃ √64 × 105 × 10 = 8 × 103 m/s = 8 kms-1 Which is independent of height of a satellite.

Q. Statement I : The speed of revolution of an artificial satellite revolving very near the earth is $8 km s^{- 1}$
Statement II : Orbital velocity of a satellite, become in dependent of height of near satellite.

If both statement I and statement II are true and statement II is the correct explanation of statement I

If both statement I and statement II are true but statement II is not the correct explanation of statement I

If statement I is true but statement II is false

If both statement I and statement II are false

$v_{0} = R_{e} \frac{g}{R _{e} + h}$

For satellite revolving very near to earth $R e + h = R_{e}$

As $(h << R)$

$v_{0} = R_{e} g ≃ 64 \times 1 0^{5} \times 10$

$= 8 \times 1 0^{3} m / s$

$= 8 km s^{- 1}$

Which is independent of height of a satellite.

Q. Statement I : The speed of revolution of an artificial satellite revolving very near the earth is 8kms−1 Statement II : Orbital velocity of a satellite, become in dependent of height of near satellite.