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We know that the atmospheric pressure on...

We know that the atmospheric pressure on the surface of the earth is because of weight, of the air. The radius of the earth is 6400 km and atmospheric pressure on the sruface of earth is `1xx10^(5) N//m^(2)`. Estimate the mass of the earth's atmosphere assuming that acceleration due to gravity remains constant at `10m//s^(2)` over the entrie height of the atmospehre.

Text Solution

Verified by Experts

The correct Answer is:
`5.14xx10^(18)kg`
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Calculate the escape velocity for an atmospheric particle 1600 km above the earth's surface, given that the radius of the earth is 6400 km and acceleration due to gravity on the surface of earth is 9.8 ms^(-2) .

Calculate the escape speed for an atmospheric particle 1600 km above the Earth's surface, given that the radius of the Earth is 6400 km amd acceleration due to gravity on the surface of Earth is 9.8 ms^(-2) .

Knowledge Check

  • If g on the surface of the earth is 9.8 m//s^2 , its value at a height of 6400km is (Radius of the earth =6400km )

    A
    `4.9 ms^(-2)`
    B
    `9.8 ms^(-2)`
    C
    `2.45ms^(-2)`
    D
    `19.6ms^(-2)`

  • If g on the surface of the earth is 9.8m//s^(2) , its value at a height of 6400 km is (Radius of the earth =6400 km)

    A
    `4.9ms^(2)`
    B
    `9.8ms^(2)`
    C
    `2.45 ms^(-2)`
    D
    `19.6ms^(-2)`

  • If radius of earth decreases by 10%, then acceleration due to gravity (Density of earth remain constant)

    A
    Decreases by 10%
    B
    Decreases by 19%
    C
    Increases by 21%
    D
    Increases by 10%

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