Dimensional Analysis and Its Applications

Which of the following can be a set of fundamental quantities?

A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?

In the kinematic equation s= ut + (½)at² , the dimensions of all the three terms is-
 

The photograph of a house occupies an area of $1.75 {\mathrm{cm}}^2$ on a $35 \mathrm{mm}$ slide.  The slide is projected on to a screen, and the area of the house on the screen is $1.55 {\mathrm{m}}^2$.  What is the linear magnification of the projector-screen arrangement?

(Answer correct to one decimal place)

Check the correctness of relation $\mathit{F}=\frac{\mathit{m}{\mathit{u}}^2}{\mathit{r}}$ using dimensional analysis.

What is the correct treatment for an expense in a Nominal Account?

Which reasoning method starts with specific cases and then generalizes?

What is the primary purpose of using acronyms as a memory enhancement technique?

What is the main objective of Accounting Standard (AS) 3?

Which basis of accounting is generally used for preparing financial statements in India?

According to which accounting concept should the business transactions be recorded separately from the personal transactions of the owner?

Identify the suitable determiner: 'Could you lend me ___ books for the weekend?'

Which index number is used to measure changes in the cost of living?

What is the main use of index numbers in economics?

Which of the following is NOT a step in the construction of index numbers?

Which index number formula uses the base year quantities as weights?

What is the primary purpose of constructing index numbers in economics?

Which method is used to measure the degree and direction of linear relationship between two variables?

Which scale would be considered a large-scale map?

What method is commonly used for depreciating an asset after an extension has been added?