Tag: option b: engineering physics

Questions Related to option b: engineering physics

By sucking through a straw, a student can reduce the pressure in his lungs to $750mm$ of $Hg$ (Density $=13.6g/{cm}^{3}$). Using the straw, he can drink water from a glass up to a maximum depth of

  1. $10cm$

  2. $75cm$

  3. $13.5cm$

  4. $1.36cm$


Correct Option: C
Explanation:
Given,
$\rho _H=13.6g/cm^3$
$\rho _w=1g/cm^3$
$P _0=760mm\,  of\,  Hg$
$P _l=750mm\,   of\,  Hg$
The pressure difference between the lungs of student and the atmosphere is given by
$\Delta P=P _0-P _l$
$\Delta P=760-750=10mm \,  of\,   Hg$
$\Delta P=1cm\,  of\,   Hg$
This pressure can be used for the drinking water.
$1cm\,   of\,   Hg=$ Pressure difference due to water column
$\rho _H gh _H=\rho _w gH$
$1\times 13.6\times g=1\times g\times H$
$H=13.6cm $
The correct option is C.

The pressure and temperature of two different gases is $P$ and $T$ having the volume $V$ for each. They are mixed keeping the same volume and temperature, the pressure of the mixture will be

  1. $P/2$

  2. $P$

  3. $2P$

  4. $4P$


Correct Option: C

How much work is done by an agent fcn forcing 3$\mathrm { m } ^ { 3 }$ of water through a pipe of radius 2$\mathrm { cm }$ , It the difference in pressure at the two ends of the pipe is $10 ^ { 4 } \mathrm { N } \mathrm { m } ^ { 2 } \mathrm { ? }$

  1. $3 \times 10 ^ { 6 } J$

  2. $2 \times 10 ^ { 6 } J$

  3. $4 \times 10 ^ { 5 } J$

  4. $1 \times 10 ^ { 5 } 3$


Correct Option: A

A box is divided into two equal compartments by a thin partition and they are filled with gases $  P  $and $  Q  $ respectively. The two compartments have a pressure of 250 torr each. The pressure after removing the partition will be equal to

  1. $125 torr$

  2. $2.5 torr$

  3. $250 torr$

  4. $500 torr$


Correct Option: C

Two containers $A$ and $B$ are partly filled with water and closed. The volume of $A$ is twice that of $B$ and it contains half the amount of water in $B$. If both are at the same temperature the water vapour in the containers will have pressure in the ratio of

  1. $1:2$

  2. $1:1$

  3. $2:1$

  4. $4:1$


Correct Option: C

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water. The quater of water flowing out per second from both holes are the same. Then radius R, is equal to :

  1. $\dfrac { L }{ \sqrt { 2\pi } } $

  2. $2\pi L$

  3. L

  4. $\dfrac { L }{ 2\pi } $


Correct Option: D

The hydrostatic pressure on a diver $100m$ below the surface of an ocean is

  1. $1$ atm

  2. $2$ atm

  3. $11$ atm

  4. $20$ atm


Correct Option: C

Two vessels of volume 100 c.c and 150 c.c contains gases at pressure of 1 atm and 2 atm. When they are joined the common pressure is 

  1. 2 atm

  2. 1.5 atm

  3. 1.6 atm

  4. 1 atm


Correct Option: A

A tank of height H is fully filled with water.If the water rushing from a made in the tank below the free surface,strikes the floor at maximum horizontal distance then depth of the hole from the free surface must be.

  1. $ \left( \frac { 3 }{ 4 } \right) H $

  2. $ \left( \frac { 2 }{ 3 } \right) H $

  3. $ \left( \frac { 1 }{ 4 } \right) H $

  4. $ \left( \frac { 1 }{ 2 } \right) H $


Correct Option: A

A conical portion is cut out of a solid hemisphere of radius R and the remaining portion is held in a liquid of density $ \rho $ through a string as shown in the figure.What is the net force exerted by the liquid on the body.

  1. $ \frac {1}{6} \pi R^3 \rho g $

  2. $ \frac {1}{3} \pi R^3 \rho g $

  3. $ \frac {1}{4} \pi R^3 \rho g $

  4. $ \frac {1}{2} \pi R^3 \rho g $


Correct Option: A