Which of the following quantities have dimensions of $\frac{{\pi {{\Pr }^4}}}{{3Ql}}:$ ( $Q =$ Volume flow rate in $m^3/s$ and $P =$ pressure)
Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionThe dimensions of solar constant (energy falling on earth per second per unit area) are
- 2An experiment measures quantities $a, b$ and $c$, and quantity $X$ is calculated from $X=a b^{2} / c^{3}$. If the percentage error in $a$, $b$ and $c$ are $\pm 1 \%, \pm 3 \%$ and $\pm 2 \%$, respectively, then the percentage error in $X$ will beView Solution
- 3Match List$-I$ with List$-II.$View Solution
List$-I$ List$-II$ $(a)$ Torque $(i)$ ${MLT}^{-1}$ $(b)$ Impulse $(ii)$ ${MT}^{-2}$ $(c)$ Tension $(iii)$ ${ML}^{2} {T}^{-2}$ $(d)$ Surface Tension $(iv)$ ${MI} {T}^{-2}$ Choose the most appropriate answer from the option given below :
- 4If $\varepsilon_0$ is permittivity of free space, $e$ is charge of proton, $G$ is universal gravitational constant and $m_p$ is mass of a proton then the dimensional formula for $\frac{e^2}{4 \pi \varepsilon_0 G m_p{ }^2}$ isView Solution
- 5The correct value of ${0^o}C$ on the Kelvin scale is ........... $K$View Solution
- 6The dimensions of $\left(\frac{ B ^{2}}{\mu_{0}}\right)$ will be.View Solution
(if $\mu_{0}$ : permeability of free space and $B$ : magnetic field)
- 7$Dyne/cm^2$ is not a unit ofView Solution
- 8View SolutionWhich of the following is not represented in correct unit
- 9Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$ and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.View Solution
Column $I$ Column $II$ $(A)$ $\mathrm{GM}_e \mathrm{M}_5$
$\mathrm{G} \rightarrow$ universal gravitational constant, $\mathrm{M}_{\mathrm{e}} \rightarrow$ mass of the earth,
$\mathrm{M}_5 \rightarrow$ mass of the Sun
$(p)$ (volt) (coulomb) (metre) $(B)$ $\frac{3 \mathrm{RT}}{\mathrm{M}} ; \mathrm{R} \rightarrow$ universal gas constant, $\mathrm{T} \rightarrow$ absolute temperature,
$\mathrm{M} \rightarrow$ molar mass
$(q)$ (kilogram) $(\text { metre) })^3$ (second) $)^{-2}$ $(C)$ $\frac{F^2}{q^2 B^2}$ ;$\quad F \rightarrow$ force, $q \rightarrow$ charge, $B \rightarrow$ magnetic field $(r)$ $(\text { meter })^2$ (second) $)^{-2}$ $(D)$ $\frac{\mathrm{GM}_e}{\mathrm{R}_{\mathrm{e}}}, G \rightarrow$ universal gravitational constant,
$\mathrm{M}_{\mathrm{e}} \rightarrow$ mass of the earth, $\mathrm{R}_{\mathrm{e}} \rightarrow$ radius of the earth
$(s)$ (farad) $(\text { volt) })^2(\mathrm{~kg})^{-1}$ - 10View SolutionThe unit of length, velocity and force are doubled. Which of the following is the correct change in the other units?