Home
Class 11
PHYSICS
It is known that density rho of air decr...

It is known that density `rho` of air decreases with height y as
`rho=rho_0e^(-y//y_0)`
where `rho_0=1.25 kg m^-3` is the density at sea level. And `y_0` is a constant . This density variation is called the law of atmosphere. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of g remains constant.
A large He balloon of volume `1425 m^3` is used to lift a payload of 400kg.Assume that the balloon maintains constant radius as it rises. How high does it rise?

Text Solution

Verified by Experts

8km, If we consider the variation of g with altitude the height is somewhat more. About 8.2km.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT GUJARATI|Exercise EXERCISE|31 Videos

  • LAW OF MOTION

    NCERT GUJARATI|Exercise EXERCISE (ADDITIONAL EXERCISE)|17 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT GUJARATI|Exercise Exercises|16 Videos

Similar Questions

Explore conceptually related problems

It is known that density rho of air decreases with height y as -y//y_(0) rho=rho_(o)e where rho_(o)=1.25kgm^(-3) is the density at sea level and y_(o) is a constant . This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions).Also assume that the value of g remains constant. (b) A large He balloon of volume 1425m^(3) is used to lift a payload of 400 kg . Assume that the balloon maintains constant radius as it rises . How high does it rise ? (y_(o)=8000mandrho_(He)=0.18kgm^(-3)) .

In a process the density of a gas remains constant. If the temperature is doubled, then the change in the pressure will be :-

Knowledge Check

  • A copper wire is stretched to make it 0.1 % longer. The percentage change in its resistance is ...... (Assume that the volume of the wire remains constant.)

    A
    increase by 0.2 %
    B
    decrease by 0.2 %
    C
    decrease by 0.05 %
    D
    increase by 0.05 %

  • The temperature (T) dependence of resistivity rho of a semiconductor is represented by ……..

    A
    B
    C
    D

  • The moment of inertia of a solid sphere with a density rho and radius R about its diameter is

    A
    `(105)/(176)R^(5)rho`
    B
    `(105)/(176)R^(2)rho`
    C
    `(176)/(105)R^(5)rho`
    D
    `(176)/(105)R^(2)rho`

    • Similar Questions

    Explore conceptually related problems

    if rho is the density of the meterial of a wire and sigma is the breaking stress. The greatest length of the wire that can hang freely without breaking is

    The density of the atmosphere at sea level is 1.29 kg//m^3 . Assuming that it does not change with altitude, Then how high would the atmosphere extend?

    For a ideal monoatomic gas match the following graphs for constant mass in different processes ( rho = Density of gas)

    During an experiment, an ideal gas is found to obey a condition (p^2)/(rho) = "constant" . ( rho = density of the gas). The gas is initially at temperature (T), pressure (p) and density rho . The gas expands such that density changes to rho//2 .

    Which of the following shown the correct relationship between the pressure 'P' and density rho of an ideal gas at constant temperature?

    Home
    Profile