Home
Class 12
PHYSICS
An air bubble rises the bottom of a lake...

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).

Text Solution

AI Generated Solution

To find the depth of the lake where an air bubble rises and increases its volume by 15 times, we can use Boyle's Law, which states that for a given mass of gas at constant temperature, the product of pressure and volume is constant. ### Step-by-Step Solution: 1. **Identify Given Values**: - Volume increase factor: \( V_2 = 15V_1 \) - Atmospheric pressure \( P_1 = 75 \, \text{cm Hg} \) - Density of lake water \( \rho = 1.02 \times 10^3 \, \text{kg/m}^3 \) ...
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE )|14 Videos

  • FLUID MECHANICS

    FIITJEE|Exercise LINKED COMPREHENSION TYPE|2 Videos

  • FLUID MECHANICS

    FIITJEE|Exercise ASSIGHNMENT COMPREHENSION NUMERICAL BASED QUESTIONS|2 Videos

  • ELECTROSTATICS

    FIITJEE|Exercise Example|14 Videos

  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

A bubble rises from the bottom of a lake 90m deep on reaching the surface, its volume becomes (take atmospheric pressure equals to 10 m of water)

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.

If an air bubbles rises from the bottom of a mercury tank to the top its volume becomes 1(1)/(2) times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is

A air bubble rises from bottom of a lake to surface. If its radius increases by 200% and atmospheric pressure is equal to water coloumn of height H, then depth of lake is

When a large bubble rises from the bottom of a lake to the surface its radius doubles. If atmospheric pressure is equal to that of column of water height H then the depth of lake is

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?

When a large bubble rises from the bottom of a lake to the surface, its radius doubles. The atmospheric pressure is equal to that of a column of water of height H. The depth of the lake is

An air bubble rises from the bottom to the surface of lake and it is found that its diameter is duubled. If the height of water barometer is 11m , the depth of the lake in maters is

Knowledge Check

  • A bubble rises from the bottom of a lake 90m deep on reaching the surface, its volume becomes (take atmospheric pressure equals to 10 m of water)

    A
    `4` times
    B
    `8` times
    C
    `10` times
    D
    `3` times

  • If an air bubbles rises from the bottom of a mercury tank to the top its volume becomes 1(1)/(2) times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is

    A
    `38 cm`
    B
    `123 cm`
    C
    `76 cm`
    D
    `49 cm`

  • When a large bubble rises from the bottom of a lake to the surface its radius doubles. If atmospheric pressure is equal to that of column of water height H then the depth of lake is

    A
    `H`
    B
    `2H`
    C
    `7H`
    D
    `8H`