Gravitation Question 103
Question: Assertion: The speed of revolution of an artificial satellite revolving very near the earth is $ [8,km{{s}^{-1}}] $ . Reason: Orbital velocity of a satellite, become independent of height of near satellite.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: A
Solution:
$ [v_{0}=R_{e}\sqrt{\frac{g}{R_{e}+h}}] $ For satellite revolving very near to earth $ [R_{e}+h=R_{e}] $ As (h«R) $ [v_{o}=\sqrt{R_{e}g}\tilde{-}\sqrt{64\times 10^{5}\times 10}] $ $ [=8\times 10^{3},m/s=8,km{{s}^{-1}}] $ Which is independent of height of a satellite.
