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The pressure at the bottom of a lake due...

The pressure at the bottom of a lake due to water is `4.9xx 10^(6)N//m^(2)`. What is the depth of the lake?

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To find the depth of the lake based on the given pressure at the bottom, we can use the hydrostatic pressure formula: 1. **Understanding the pressure formula**: The pressure at a certain depth in a fluid is given by the equation: \[ P = \rho g H \] where: - \( P \) is the pressure at the depth, ...
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An air bubble rises the bottom of a lake to the top and increases thereby its volume 15 times . If the atmospheric pressure is 75 cm of hg and density of lake water is 1.02 xx10^(3) kg//m^(3) then find the depth of lake ( Neglect surface tension).

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Knowledge Check

  • If pressure at half the depth of a lake is equal to 2//3 pressure at the bottom of the lake then what is the depth of the lake ?

    A
    10 m
    B
    20 m
    C
    60 m
    D
    30 m

  • A bubble of the gas released at the bottom of a lake increases to eight times the original volume when it reaches at the surface. Assuming that the atmospheric pressure is equivalent to pressure exerted by a column of water 10 m high, what is the depth of the lake

    A
    80 m
    B
    90 m
    C
    10 m
    D
    70 m

  • If the pressure at half of the lake is equal to 1/3 pressure at the bottom of the lake, what is the depth of the take? ("assume" g=10m//s^(2), atm=1xx10^(5) and rho=10^(3)kgm^(-3))

    A
    9.6m
    B
    7.5m
    C
    40m
    D
    3.2m

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    As an air bubble rises from the bottom of a lake to the surface, its volume is doubled. Find the depth of the lake. Take atmospheric pressure = 76 cm of Hg.

    What is the temperature at the bottom of deep lakes and seas?

    Calculate the total pressure at the bottom of a lake of depth 5.1 m (atm pressure =10^(5) P), density of water =10^(3)kg//m^(3),g=10m//s^(2)

    A bubble of gas released at the bottom of a lake increases to four times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water 10 m high, what is the depth of the lake?

    A bubble of a gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water 10m height, the depth of the lake is "____________" .

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