Question

Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proprtional to ______.

पर्याय

• R

• `sqrt"R"`

• R²

• R³

Answer 1

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"`