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Q.

While revolving around the earth, a satellite has kinetic energy K, potential energy U and total energy E. If the value of $\frac{E}{K}$ is x and $\frac{E}{U} .$ is y, then ratio $|\frac{x}{y}|$ is

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a

3 : 1

b

2 : 1

c

3 : 2

d

2 : 3

answer is B.

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Detailed Solution

detailed_solution_thumbnail

As we know that for the earth and satellite system,

$Kinetic energy, K = \frac{GMm}{2 a}$

$Potential energy, U = - \frac{GMm}{a}$

$And total energy, E = - \frac{Gmm}{2 a}$

Therefore x = -1 and y = -1/2

$|\frac{x}{y}| = 2$

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While revolving around the earth, a satellite has kinetic energy K, potential energy U and total energy E. If the value of EK is x and EU. is y, then ratio xy is