InterviewSolution
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InterviewSolution
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A satellite is orbiting the earth in a circular orbit of radius `r`. ItsA. kinetic energy veries as `r`B. angular momentum varies as `r^(-1)`C. linear momentum varies as `r^(2)`D. frequency of revolution varies as `r^(-3//2)` |
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Answer» Correct Answer - D Orbital velocity of the satellite is `v=sqrt((GM_(E))/r)` where `M_(E)` is the mass of the earth Kinetic energy, `K=1/2mv^(2)=(GM_(E)m)/(2r)` Where `m` is the mass of the satellite. `K prop 1/r` Hence, option (b) is incorrect. Linear momentum, `p=mv=msqrt((Gm_(E))/r)` `p prop 1/(sqrt(r))` Hence, (c) is incorrect. Frequency of revolution, `v=1/T=1/(2pi)sqrt((GM_(E))/(r^(3)))` `v prop1/(r^(3//2))` Hence, option (d) is correct. |
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