The foundations of dimensional analysis were laid down by
Medium
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Similar Questions
- 1Which two of the following five physical paramenters have the same dimensions $?$View Solution
$(1) $ energy density
$(2)$ refractive index
$(3) $ dielectric constant
$(4) $ Young's modulus
$(5)$ magnetic field
- 2Wavelength of ray of light is $0.00006\,m$. It is equal to ........ $microns$View Solution
- 3For the four sets of three measured physical quantities as given below. Which of the following options is correct ?View Solution
$(i)$ $\mathrm{A}_{1}=24.36, \mathrm{B}_{1}=0.0724, \mathrm{C}_{1}=256.2$
$(ii)$ $\mathrm{A}_{2}=24.44, \mathrm{B}_{2}=16.082, \mathrm{C}_{2}=240.2$
$(iii)$ $\mathrm{A}_{3}=25.2, \mathrm{B}_{3}=19.2812, \mathrm{C}_{3}=236.183$
$(iv)$ $\mathrm{A}_{4}=25, \mathrm{B}_{4}=236.191, \mathrm{C}_{4}=19.5$
- 4What are the units of $K = 1/4\pi {\varepsilon _0}$View Solution
- 5If $x$ and $a$ stand for distance then for what value of $n$ is given equation dimensionally correct the eq. is $\int {\frac{{dx}}{{\sqrt {{a^2}\, - \,{x^n}} \,}}\, = \,{{\sin }^{ - 1}}\,\frac{x}{a}} $View Solution
- 6In a particular system of units, a physical quantity can be expressed in terms of the electric charge $c$, electron mass $m_c$, Planck's constant $h$, and Coulomb's constant $k=\frac{1}{4 \pi \epsilon_0}$, where $\epsilon_0$ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is $[B]=[c]^\alpha\left[m_c\right]^\beta[h]^\gamma[k]^\delta$. The value of $\alpha+\beta+\gamma+\delta$ is. . . . .View Solution
- 7Let $l, r, c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac {1}{rcv}$ in $SI\,units$ will beView Solution
- 8The dimensional formula for Planck's constant $(h)$ isView Solution
- 9What is the dimensional formula of $a b^{-1}$ in the equation $\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$, where letters have their usual meaning.View Solution
- 10Which of the following equations is dimensionally incorrect?View Solution
Where $t=$ time, $h=$ height, $s=$ surface tension, $\theta=$ angle, $\rho=$ density, $a, r=$ radius, $g=$ acceleration due to gravity, ${v}=$ volume, ${p}=$ pressure, ${W}=$ work done, $\Gamma=$ torque, $\varepsilon=$ permittivity, ${E}=$ electric field, ${J}=$ current density, ${L}=$ length.