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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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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
  • NARAYNA-MECHANICAL PROPERTIES OF FLUIDS-EXERCISE - III
    1. The pressure at the bottom of a lake due to water is 4.9xx 10^(6)N//m^...

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    2. A rectangular vessel when full of water takes 10 minutes to be emptied...

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    3. An air bubble of radius 1 cm rises from the bottom portion through a l...

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    4. The terminal speed of a sphere of gold (density = 19.5 kg m^(-3)) is 0...

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    5. Water is filled in a cylindrical container to a height of 3m. The rati...

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    6. A candle of diameter d is floating on a liquid in a cylindrical contai...

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    7. When a body falls in a air, the resistance of air depends to a great e...

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    8. The heart of a man pumps 5 liters of blood through the arteries per mi...

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    9. Water rises to height h in capillary tube. If the length of capillary ...

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    10. The value of coefficient of volume expansion of glycerin is 5 xx 10^(-...

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    11. The approximate depth of an ocean is 2700 m. The compressibility of wa...

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    12. By sucking a straw a student can reduce the pressure in his lungs to 7...

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    13. A drop of water of radius 0.0015 mm is falling in air .If the cofficie...

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    14. A spherical body of diameter D is falling in viscous medium. Its termi...

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    15. A non-viscous fluid of constant density of 1000kg//m^(3) flows in stre...

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    16. The work done in increasing the size of a rectangular soap film with d...

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    17. Surface area of a soap bubble is 1.3xx10^(-4) m^2. The work done to ...

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    18. If the radius of a soap bubble is four times that of another, then the...

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    19. Two small drops of mercury, each of radius R, coalesce to form a singl...

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    20. A frame made of metalic wire enclosing a surface area A is covered wit...

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    21. The potential energy of molecule on the surface of a liquid as compare...

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