Q.

If the time period of a satellite is T, its kinetic energy is proportional to:


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a

K.E∝T−1/2K.E∝T−1/2

b

K.E∝T−2/3K.E∝T−2/3

c

K.E∝T3/2K.E∝T3/2

d

None of these 

answer is B.

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Detailed Solution

Concept: In this question, we will use the conception of kepler’s law of planetary stir for indirect route-ways.
We'll use the formula of kinetic energy and time period to find out the relationship between them. also we will get the proportionality between them.
Velocity of satellite in orbit Question Image,
Kinetic Energy, Question Image From the kepler's laws of periods,
Question ImageFrom the equations 1 and 2 ,
Question ImageHence, the correct option is 1.
 
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If the time period of a satellite is T, its kinetic energy is proportional to: