The density of the atmosphere at sea level is $1.29 \;kg / m ^{3} .$ Assume that it does not change with altitude. Then how high (in $km$) would the atmosphere extend?
Easy
Download our app for free and get startedPlay store
$\rho g h=1.29 kg m ^{3} \times 9.8 m s ^{2} \times h m =1.01 \times 10^{5} Pa$

$ \therefore h=7989\, m \approx 8 \,km$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A tank $5\, m$ high is half-filled with water and then is filled to the top with oil of density $0.85\, g/cm^3$. The pressure at the bottom of the tank, due to these liquids is ....... $g\, dyne/cm^2$
    View Solution
  • 2
    A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\, kg$. The area of cross section a of piston carrying the load is $425\, cm ^{2}$. What is the maximum pressure () would smaller piston have to bear ?
    View Solution
  • 3
    A hole is made at the bottom of the tank filled with water (density $1000\, kg/m^3$). If the total pressure at the bottom of the tank is $3$ atmosphere ($1$ atmosphere $= 10^5\, N/m^2$), then the velocity of efflux is
    View Solution
  • 4
    The diameter of two pistons of a hydraulic press are $0.1\,\, m$ and $0.6\,\, m$ respectively. Advantage of the hydraulic press assuming effort is applied directly on pump plunger 
    View Solution
  • 5
    If a small orifice is made at a height of $0.25\, m$ from the ground, the horizontal range of water stream will be, (in $cm$)
    View Solution
  • 6
    The pans of a physical balance are in equilibrium. Air is blown under the right hand pan; then the right hand pan will
    View Solution
  • 7
    Given below are two statements :

    Statement $I$ : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation $\mathrm{P}_1-\mathrm{P}_2=\rho \mathrm{g}\left(\mathrm{h}_2-\mathrm{h}_1\right)$

    Statement $II$ : In ventury tube shown $2 \mathrm{gh}=v_1^2-v_2^2$

    In the light of the above statements, choose the most appropriate answer from the options given below.

    View Solution
  • 8
    A stream-lined body falls through air from a height $h$ on the surface of liquid. Let $d$ and $D$ denote the densities of the materials of the body and the liquid respectively. If  $D > d$, then the time after which the body will be instantaneously at rest, is
    View Solution
  • 9
    Three liquids of densities $d,\,2d$ and $3d$ are mixed in equal volumes. Then the density of the mixture is
    View Solution
  • 10
    There is a metal cube inside a block of ice which is floating on the surface of water. The ice melts completely and metal falls in the water. Water level in the container
    View Solution