Tag: fluid pressure

Questions Related to fluid pressure

An air tight container having a lid with negligible mass and a area of $8 c m^{2}$ is partially evacuated . If a 40N force is require to pull a lid off the container and the atmospheric pressure is $ 1.0 \times 10^{5} \mathrm{Ps}$ ,the presure in the container before it is opened must be

  1. 0.6atm

  2. 0.5atm

  3. 0.4atn

  4. 0.2atm


Correct Option: C
Explanation:
The pressure inside the container must be equal to the pressure developed by force applied and the atmospheric force would oppose the pull,

So,

$P _{external}=P _{inside}+P _{atmosphere}$

$=\dfrac{48}{0.008}=P _{inside}+1\times 10^5$

$P _{inside}=0.6\times 10^5-1\times 10^5$

$P _{inside}=-0.4\times 10^5\,Ps=0.4\,atm$

What should be the minimum volume of the room, if no liquid water is be  present finally in the room ? 

  1. 166.671

  2. 16.671

  3. 166.67 $m^{3}$

  4. 16.67 $m^{3}$


Correct Option: D

A gas is collected over the water at $25 ^ { \circ } \mathrm { C }$ . The total pressureof moist gas was 735$\mathrm { mm }$ of mercury. If the aqueous vapourpressure at $25 ^ { \circ } \mathrm { C }$ is 23.8$\mathrm { mm }$ . Then the pressure of dry gas is

  1. $760$ $\mathrm { mm }$

  2. $758.8$ $\mathrm { mm }$

  3. $710.8$ $\mathrm { mm }$

  4. $711.2$ $\mathrm { mm }$


Correct Option: D

20$\mathrm { cm }$ containing mercury and two equal ends containing air at standardatmospheric prossure. If the tube is now turned to a vertical position, by what amount will the mercury bo displaced?
(Given : cross-section of the tube can be assumed to be uniform):

  1. 2.95$\mathrm { cm }$

  2. 5.18$\mathrm { cm }$

  3. 8.65$\mathrm { cm }$

  4. 0.0$\mathrm { cm }$


Correct Option: A

The height of mercury column in a simple barometer is h. As the tube is inclined to the vertical at an angle $  \alpha,  $ the length of mercury column along the length of the tube is l; then:

  1. $ 1=\frac{h}{\cos \alpha} $

  2. $ 1=h \cos \alpha $

  3. $ I=h $

  4. $ 1=\cos \alpha / h $


Correct Option: A

A small bulb is filled with air at ${ 41 }^{ 0 }c$ and sealed. When it heated slowly in an oil bath upto ${ 198 }^{ 0 }c$, it is found to be broken. find the pressure at which the bulb is broken.

  1. 2.5 atm

  2. 1.5 atm

  3. 3 atm

  4. 1.3 atm


Correct Option: C

If the intensity of the incident radio wave of  $1\mathrm { w } / \mathrm { w } ^ { 2 }$  is reflected by the surface, find the pressure exerted on the surface?

  1. $5.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  2. $6.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  3. $8.67 \times 10 ^ { - 9 } N / m ^ { 2 }$

  4. $9.67 \times 10 ^ { - 8 } \mathrm { N } / \mathrm { m } ^ { 2 }$


Correct Option: B
Explanation:

For reflecting surface, Pressure

$\begin{array}{l} =\frac { { 2F } }{ C }  \ =\frac { { 2\times 1 } }{ { 3\times { { 10 }^{ 8 } } } } =6.67\times { 10^{ -9 } }N/{ m^{ 2 } } \ Ans.\, \, (B) \end{array}$

Which limb of the tube should be connected to the pump?

  1. Limb having radius 2 mm

  2. Limb having radius 1 mm

  3. Any of the climb

  4. None of these


Correct Option: A

A balloon contains  1500 $m^{3}$  of helium at $27^{\circ}C$   and 4 atmoshperic  pressure.  The volume of helium at $3^{\circ}C$  temperature and 2  atmospheric pressure will be 

  1. 1500 $m^{3}$

  2. 1700 $m^{3}$

  3. 1900 $m^{3}$

  4. 2700 $m^{3}$


Correct Option: C

To increase pressure, either force has to be increased or area of contact has to be decreased.

  1. True

  2. False


Correct Option: A