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One can easily weigh the earth by calculating the mass of earth by using the formula: -

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Question

One can easily weigh the earth by calculating the mass of the earth by using the formula:

Options

  • `("GR"_"E"^2)/"g"`

  • `("gR"_"E"^2)/"G"`

  • `("gR"_"E")/"G"`

  • `("GR"_"E"^3)/"g"`

MCQ

Solution

`("gR"_"E"^2)/"G"`

Explanation:

F = `("GM"_"E""m")/("R"_"E"^2)`

mg = `("GM"_"E""m")/("R"_"E"^2)`

g = `("GM"_"E")/("R"_"E"^2)`

ME = `("gR"_"E"^2)/"G"`

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