Fluid Mechanics - Units and Dimensions

Kinematic viscosity and thermal diffusivity both have the same dimensions of "M", "L", and "T". This means that they both have dimensions of mass, length, and time. Therefore, the statement is true.

The symbol used to indicate the SI unit of "mass flow rate" is kg / s, which stands for kilograms per second. This unit is commonly used to measure the amount of mass that passes through a given point in a system per unit of time.

The correct answer is 760 mm Hg column because 1 atm is equivalent to the pressure exerted by a column of mercury that is 760 mm high. This is a commonly used unit of pressure in chemistry and physics.

"s" is S I notation whereas sec is CGS notation
Check http://www.bipm.org/en/publications/si-brochure/section2-1.html#section2-1-2

The given expression M / (L T^2) represents the dimension for momentum flux. Momentum is defined as the product of mass and velocity, and flux refers to the rate of flow of a physical quantity. In this context, M represents mass, L represents length, and T represents time. Dividing mass by (length multiplied by time squared) gives us the dimension for momentum flux, which is a measure of the rate at which momentum is transferred per unit area. Therefore, the correct answer is momentum flux.

The dimensions of mass flux represent the amount of mass passing through a unit area per unit time. The dimensions are typically expressed as mass divided by area and time, which is M / (L^2 T). This is the correct answer as it correctly represents the dimensions of mass flux in terms of "M" for mass, "L" for length, and "T" for time.

The dynamic viscosity of a fluid is a measure of its resistance to flow. It is calculated by dividing the fluid's absolute viscosity by its density. In this case, the fluid has a density of 800 kg/m^3 and a viscosity of 800 cP (centipoise). To convert the viscosity from cP to Pa s (Pascal second), we need to divide it by 1000. Therefore, the dynamic viscosity of the fluid is 0.8 Pa s.

The specific gravity of a substance is the ratio of its density to the density of a reference substance, usually water. In this case, the specific gravity of phenol is given as 1.07. Since the density of water is 1 g/cm^3, the density of phenol can be assumed to be 1.07 g/cm^3. Therefore, the correct answer is 1.07.

The correct answer is "Force exerted on a body of unit mass when it undergoes unit acceleration." This definition aligns with Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In the SI system, the unit of force is the Newton (N), which is defined as the force required to accelerate a mass of 1 kilogram by 1 meter per second squared. Therefore, the force exerted on a body of unit mass (1 kilogram) when it undergoes unit acceleration (1 meter per second squared) is 1 Newton.

The dimension for "Pressure" is given by the formula force/area. Force is measured in terms of mass (M) times acceleration (L/T^2), and area is measured in terms of length (L) squared. Therefore, the dimension for "Pressure" is M / (L * T^2).

The S.I. unit symbol for quantity "Mass" is actually "kg" and not "Kg". The correct symbol for kilogram is lowercase "kg" as per the International System of Units (S.I.). Therefore, the given statement is false.

The given answer, 4.167E-3 m^3/s, is the correct conversion from 250 lpm to cubic meters per second (m^3/s). To convert from liters per minute (lpm) to cubic meters per second, we divide the given value by 1000 to convert liters to cubic meters and then divide by 60 to convert minutes to seconds. Therefore, 250 lpm is equal to 250/1000/60 = 4.167E-3 m^3/s.

The correct answer is L^3 / T, which represents the dimensions for volumetric flow rate. This answer indicates that volumetric flow rate is measured in units of volume (cubic meters, for example) per unit of time (seconds, for example). The L^3 / T dimension is consistent with the concept of volumetric flow rate, which refers to the volume of fluid passing through a given area per unit of time.

The correct answer is 1E-2 cSt. The momentum diffusivity of water is commonly measured in centistokes (cSt), which is a unit of kinematic viscosity. A kinematic viscosity of 1E-2 cSt indicates that water has a relatively low resistance to flow and is considered to be a low-viscosity fluid.