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Questions Related to physics

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

The pressure exerted by a liquid column of height h is given by (the symbols have their usual meanings).

  1. $\dfrac {h}{\rho g}$

  2. $h\rho g$

  3. $\dfrac {h}{\rho}$

  4. $hg$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pressure exerted by a liquid column of height h is given by-

       $h\rho g$
Since, total mass =$\rho g$
      

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

State True or False.
A barometric liquid having high density produces a shorter column of liquid.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Since the pressure by any liquid is proportional to density .

$P=\rho gh$
So  $h=\dfrac{P}{g\rho}$
So from above equation we can say that if the density of fluid is high ,it will produce shorter column .

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

At a depth of 1000 m in an ocean, what is the absolute pressure? Given density of sea water is $1.03 \times 10^3 kgm^{-3} ,\ g= 10ms^{-2}$

  1. 104 atm

  2. 100 atm

  3. 108 atm

  4. 110 atm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Given: $h=1000m  ,  d=1.03\times10^{3}kg/m^{3} ,  g=10m/s^{2}$ 

The absolute pressure is given by: absolute pressure = pressure of water + atmospheric pressure
$P=hdg+1atm=1000\times1.03\times10^{3}\times10+1atm=1.03\times10^{7}Pa+1atm$
$P=103atm+1atm=104atm$

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

State True or False.
As the vertical height from mean sea level increases, the atmospheric pressure decreases.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Pressure decreases with increase in altitude. The pressure at any level in the atmosphere may be interpreted as the total weight of the air above a unit area at any elevation. At higher elevations, there are fewer air molecules above a given surface than a similar surface at lower levels.

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

State True or False.
One atmospheric pressure at sea level is equal to $760\ cm$ of $Hg$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Wrong statement.

The average air pressure at sea level is equivalent to the pressure produced by a column of water about 10 meters (or about 76 cm of mercury column).
$P=10^5Nm^{-2}$ at sea level
density of mercury is $13600$ $kg m^3$
we know $P=\rho gh$
So $10^{5}=13600\times 9.8\times h$ 
$h=0.76m=76cm$

Multiple choice physics floating bodies pressure exerted by a liquid column pressure at a certain depth in liquid variation of pressure with depth

The height of a barometer filled with a liquid of density $3.4\ g/cc$ under normal condition is approximately -

  1. $8\ m$

  2. $5\ m$

  3. $3\ m$

  4. $1\ m$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given,

$\rho =3.4g/cc=3.4\times 10^3 kg/m^3$
$g=9.8m/s^2$
$P=1.01\times 10^5 Pa$
Pressure, $P=\rho gh$
$h=\dfrac{P}{\rho g}=\dfrac{1.01\times 10^5}{3.4\times 10^3\times 9.8}$
$h=3.03m$
The correct option is C.