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State with Reasons Whether the Sentence Is True Or False . If the Height of the Orbit of a Satellite Increases, Its Velocity Must Also Increase. - Science and Technology 1

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Question

State with reasons whether the sentence is  true or false .

 If the height of the orbit of a satellite increases, its velocity must also increase.

Solution

 The specific velocity with which the satellite revolves around a planet is known as critical velocity. It is given as 

\[v_c = \sqrt{\frac{GM}{R + h}}\]
So, we see that as the height (h) of the orbit of a satellite increases, it velocity must decrease. Hence, the statement is false.

 

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Chapter 10: Space Missions - Exercises [Page 144]

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