F.M 2.2 Pressure Distribution in a Fluid-1

Which one of the following is the unit of pressure?

• N

• $\frac{N}{m}$
  

• $\frac{N}{m^2}$

• $\frac{N}{m}$

Which one of the following is the dimension of pressure?

• $\left[MLT_2\right]$

• $\left[MLT_{-2}\right]$

• $\left[ML_{-1}T_2\right]$

• $\left[ML_{-1}T_{-2}\right]$

Which one of the following statements is true regarding pressure?

• Pressure is a scalar quantity

• Pressure is a vector quantity

• Pressure is a scalar quantity only when the area is infinitesimally small

• Pressure is a vector quantity only when the area is infinitesimally small

A beaker half-filled with water is exposed to the atmosphere. If the pressure at points A, B and C as shown are Pa, Pb and Pc respectively, which one of the following will be the relation connecting the three?

• Pa > Pb = Pc

• Pa > Pb > Pc

• Pa < Pb < Pc

• Pa < Pb = Pc

A beaker is filled with a liquid up to a height h. If A and B are two points, one on the free surface and one at the base as shown, such that the minimum distance between the two is l, what will be the pressure at point B?

• $pgl$
  

• $pgh$

• $pg\sqrt{l^2+h^2}$

• $pg\sqrt{l^2-h^2}$

A beaker of height h is filled with a liquid of density ρ up to a certain limit. The beaker is rotated by an angle θ such that further increase in the angle will result in over flow of the liquid. If the liquid surface is exposed to the atmosphere, what will be the gauge pressure at point B?

• $\rho gh$

• $\rho gh\ \sin\theta$

• $\rho gh\ \cos\ \theta$

• $\rho gh=2$

An arm of a teapot is completely filled with tea (density=ρ) If the arm has a length of l and is inclined at  $30\degree$  to the horizontal, what will be the pressure difference between the two points, C at the mouth and D at the base of the arm?

•  $\rho gl$  

•  $\frac{\rho gl}{2}$  

•  $\sqrt{2\rho gl}$  

•  $2\rho g$  

A beaker is filled with a liquid of density ρ1 up to a certain height. The pressure at the base of the beaker id Pb. If the liquid is replaced by an equal volume of another liquid of density ρ2, what will be the pressure at the base of the beaker now?

• remain same

• increase

• decrease

• become zero

A beaker is filled with a liquid of density ρ1 up to a certain height. A is a point, h m downwards from the free surface such that the pressure at A is P. If the liquid is replaced by equal volume of another liquid of density ρ2, at what distance from the free surface will the pressure be P now?

• $h$
  

• $\frac{\rho_1+\rho_2\text{ }}{2}h$

• $\frac{\rho_1}{\rho_2}h$

• $\frac{\rho_2}{\rho_1}h$

A beaker is filled with a liquid of density ρ1 up to a certain height. The pressure at the base of the beaker id Pb. If the liquid is replaced by an equal volume of another liquid of density ρ2, what will be the pressure at the base of the beaker now?

• $P_b$
  

• $\frac{\rho_1+\rho_2}{2}P_b$

• $\frac{\rho_1}{\rho_2}P_b$

• $\frac{\rho_2}{\rho_1}P_b$