Consider the following equation of Bernoulli' | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given equation is $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant).According to the principle of homogeneity of dimensions,every term in an

Vedclass · Accepted Answer

Angle

Vedclass · Answer

(C) The given equation is $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant).According to the principle of homogeneity of dimensions,every term in an equation must have the same dimensions.Therefore,the dimensions of $K$ must be equal to the dimensions of $P$,$\frac{1}{2}\rho V^2$,and $\rho gh$.Since the dimensions of $K$ are equal to the dimensions of $P$,the ratio $K/P$ is a dimensionless quantity.Among the given options,an angle is a dimensionless quantity.Thus,the dimensions of $K/P$ are the same as those of an angle.

Consider the following equation of Bernoulli's theorem: $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant). The dimensions of $K/P$ are the same as those of which of the following?

Similar Questions

$A$ manometer connected to a closed tap reads $4.5 \times 10^5 \text{ Pa}$. When the tap is opened,the reading of the manometer falls to $4 \times 10^5 \text{ Pa}$. The velocity of the flow of water is ........ $m/s$.

Which of the following is not an assumption for an ideal fluid flow for which Bernoulli's principle is valid?

Write the limitations of Bernoulli's equation.

Can Bernoulli's equation be used to describe the flow of water through a rapid in a river? Explain.

Bernoulli's principle is based on the law of conservation of

Vedclass Test Series

Exam Paper Generator

Online Exam Module