Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 10: Exercise (Analytical Questions)

Which of the following has the highest number of significant figures?

A physical quantity $X$ is given by $X = \frac{2k^3{l}^2}{m\sqrt{n}}$. The percentage error in the measurements of $k, l, m$ and $n$ are $1\%$,$2\%$,$3\%$ and $4\%$ respectively. The value of $X$ is uncertain by 

If the error in the measurement of radius of a sphere is 2% then the error in determination of volume of the sphere will be:

The dimensions of $\frac{1}{2}{\epsilon }_0{\mathrm{E}}^2$, where ${\mathrm{\epsilon }}_0$ is permittivity of free space and $\mathrm{E}$ is electric field, is

Dimensions of magnetic permeability is :

The dimensions of ${\left({\mathrm{\mu }}_0{\mathrm{\epsilon }}_0\right)}^{–1/2}$ are :- 

The density of material in CGS system of units is $4\mathrm{g} {\mathrm{cm}}^{-3}$. In a system of units in which unit of length is $10 \mathrm{cm}$ and unit of mass is $100 \mathrm{g}$, the value of density of material will be :

What is the dimensions of magnetic field $\mathrm{B}$ in terms of $\mathrm{C}$ (coulomb), $\mathrm{M}, \mathrm{L}$ and $\mathrm{T}$ ?