Recent questions and answers in Dimensional Analysis

The basic dimensions, i.e., mass, length, and time are represented by $M, L$, and $T$, respectively. The correct dimension of dynamic viscosity is$M L T^{-2}$$M^{0} L^{2}...

A ship is designed to sail at a speed of $8 \mathrm{~m} \cdot \mathrm{~s}^{-1}$. A designer makes a $1/10$ scaled model to test the ship in a water tunnel. The model and ...

The luminous efficacy of an electric light bulb is measured in which one of the following units?lumen $\mathrm{W}^{-1}$lumen $\mathrm{W}^{-1} \mathrm{~h}^{-1}$lumen $\mat...

​​$\textbf{Group-I}$ indicates different properties of fluid and $\textbf{Group-II}$ defines their basic dimensions in terms of Force $(F)$, Length ( $L$ ), and Time ( $T...

A ship is to be operated in a fluid medium with kinematic viscosity $0.032 \times 10^{-3} \mathrm{~m}^{2} / \mathrm{s}$. A one-tenth scale model of the ship is built for ...

The true density and bulk density of wheat grains are $1280 \mathrm{~kg} / \mathrm{m}^{3}$ and $740 \mathrm{~kg} / \mathrm{m}^{3}$, respectively. The porosity of the grai...

Accumulated rainfall is often measured in $\mathrm{mm}$. If the density of rain water is $1000 \: \mathrm{kg} \mathrm{m}^{-3}$ then, one mm of rain is equal to $\_\_\_\_...

A set of basic dimensions, mass, length, and time are represented by $\mathrm{M}, \mathrm{L}$, and $\text{T}$, respectively. What will be the dimensions of pressure in $\...

A one-eighth scale model of a car is to be tested in a wind tunnel. If the air velocity over the car is $16 \mathrm{~m} / \mathrm{s}$, what should be the air velocity $\t...

Q. 39 A hydraulic turbine with rotor diameter of $100 \mathrm{~mm}$ produces $200 \mathrm{~W}$ of power while rotating at $300 \mathrm{rpm}$. Another dynamically-similar ...

Q. 173 Consider that there are 295 million vehicles across India and they drive about $12000 \mathrm{~km} \mathrm{yr}^{-1}$. Each vehicle consumes about $25 \mathrm{~km} ...

The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination1. Reynolds numberi. Wave...

The speed of propagation, $c$, of a capillary wave depends on the density of the fluid, $\rho$, the wavelength of the wave, $\lambda$, and the surface tension, $\sigma$. ...