Tag: option b: engineering physics

Questions Related to option b: engineering physics

Mark out the correct statement(s)

  1. Net force acting on the base of the vessel > weight of the liquid inside the vessel

  2. Net force acting on the base of the vessel $=$ weight of the liquid inside the vessel

  3. Net pressure force acting on the liquid $=$ weight of the vessel

  4. Both (a) and (c) are correct


Correct Option: D
Explanation:

Weight of the liquid inside the vessel,

$W=\rho(A _1\times \dfrac{5}{100}+A _2\times \dfrac{1}{100})g=1N$
So, $F>W$
Net force on the liquid is zero.

Pressure on a swimmer at depth H below free surface of water is 3 atm.Then H is

  1. 10 m

  2. 30 m

  3. 20 m

  4. 50 m


Correct Option: A

$28\, gm$ of $N _2$ gas is contained in a flack at a pressure of $10\, atm$ and at a temperature of $57^0$. It is found that due to leakage in the flask, the pressure is reduced to half and the temperature reduced to $27^0 C$. The quantity of $N _2$ gas that leaked out is :-

  1. $\dfrac{11}{20}\, gm$

  2. $\dfrac{20}{11}\, gm$

  3. $\dfrac{5}{63}\, gm$

  4. $\dfrac{63}{5}\, gm$


Correct Option: D

A uniform solid cylinder of density $ 0.8 g/cm^3 $ floats in equilibrium in a combination of teo non-mixing liquid A and B with its axis vertical. the densities of liquid A ad B with its axis vertical. the densities of liquid A and B are $ 0.7 g /cm^3 $ and $ 1.2 \times gm/cm^3 $. the height of liquid A is $ h _A = 1.2 cm $ and the length of the part of cylinder immersed in liquid B is $ h _B = 0.8 cm $ then the length of the cylinder in air is

  1. 0.21 m

  2. 0.25 cm

  3. 0.35 m

  4. 0.4 cm


Correct Option: C

When the volume of gas is reduced at constant temperature, the pressure exerted by the gas on the walls of the container increases because

  1. each molecules hits the walls with greater speed

  2. each molecule loses more energy when it strikes the wall

  3. each molecule loses momentum when it strikes the wall

  4. the number of molecules striking the wall per unit time increase.


Correct Option: C

A container with insulating walls is divided into equal parts by a partition fitted with a value.One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuted.If the value is suddenly opened,the pressure and temperature of the gas will be

  1. $ \dfrac {p}{2}, T $

  2. $ \dfrac {p}{2} , \frac {T}{2} $

  3. p,T

  4. $ p, \dfrac {T}{2}, $


Correct Option: A

A cylindrical vessel of $100\ cm$ height is kept filled upto the brim. It has four holes $1, 2, 3, 4$ which are respectively at heights of $27\ cm, 30\ cm, 50\ cm$ and $80\ cm$ from the horizontal floor. The water falling at the maximum horizontal distance from the vessel comes from

  1. Hole number $4$

  2. Hole number $3$

  3. Hole number $2$

  4. Hole number $1$


Correct Option: C

Water is falling in a cylindrical tank at the rate of $ \pi m^3 / s. $ If the radius of the tank is 2 m, the rate of increases in the level of water in the tank is

  1. 1 m/s

  2. 0.25 m/s

  3. 0.5 m/s

  4. none


Correct Option: C

The pressure and temperature of an ideal gas in a closed vessel are $720$ kpa and $40^oC$ respectively. If - th of the gas is released from the vessel and the temperature of the remaining gas is raised to $353^oC$, the final pressure of the gas isĀ 

  1. $ 1440$ kPa

  2. $1080$ kPa

  3. $720$ kPa

  4. $ 540$ kPa


Correct Option: B

Two metal plates $'A'$ and $'B'$ having the same breadth but different lengths $\ell 1$ and $\ell _2 $ respectively are placed at same depth inside water such that their breadth is held exactly in vertical positions. Then, the ratio of the pressure acting on $'A'$ and $'B'$ by water is ____.

  1. $1:1$

  2. $\ell _1:\ell _2$

  3. $\ell _2:\ell _1$

  4. $\ell _1 b:\frac{\ell _2}{b}$


Correct Option: C