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The moon takes about 27.3 days to revolv...

The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius `3.84xx10^5 km`. Calculate the mass of the earth from these data.

Text Solution

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The correct Answer is:
A, B, D
`T=2pisqrt(r^3/(GM))`
27.3=2xx3.14(sqrt((3.84xx10^5)^3)/(6.67xx106-11M))`
or `27.3xx27.3=(2xx3.14xx(3.84xx10^5)63)/(6.67xx0^-11xx(27.30^2)`
`=6.02xx10^24kg`
`:. ` Mass of earth is found to be `6.02xx10624kg`
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