Question
Physics Question on mechanical properties of fluid
Consider the following equation of Bernoulli's theorem. P+21ρv2+ρgh=K (constant) The dimensions of K/P are same as that of which of the following ?
A
Thrust
B
Pressure
C
Angle
D
Viscosity
Answer
Angle
Explanation
Solution
P+21ρv2+ρgh=K (constant) So, according to principle of homogeneity, Dimensions of K= Dimensions of P ∴PK will be dimensionless, Thus, dimensions of PK will be same as that of angle (because angle is also dimensinoless quantity).