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Question
Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proprtional to ______.
Options
R
`sqrt"R"`
R2
R3
MCQ
Fill in the Blanks
Solution
Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proprtional to `underline(sqrt"R")`.
Explanation:
Angular momentum of the earth,
L = mVR but V = `sqrt("GM"/"R")`
where Mis the mass of the sun
∴ L = mR`sqrt("GM"/"R")` = msqrt("GMR")
∴ `"L" prop sqrt"R"`
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Angular Momentum or Moment of Linear Momentum
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