The $SI$ unit of magnetic permeability is
$Wb\;m ^{-2}\; A ^{-1}$
$Wb\;m ^{-1}\; A$
$Wb\;m\;A ^{-1}$
$Wb\;m ^{-1} \;A ^{-1}$
Which of the following system of units is not based on units of mass, length and time alone
Match List $I$ with List $II$
LIST$-I$ | LIST$-II$ |
$(A)$ Surface tension | $(I)$ $Kg m ^{-1} s ^{-1}$ |
$(B)$ Pressure | $(II)$ $Kg ms^{-1 }$ |
$(C)$ Viscosity | $(III)$ $Kg m ^{-1} s ^{-2}$ |
$(D)$ Impulse | $(IV)$ $Kg s ^{-2}$ |
Choose the correct answer from the options given below :
Some 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 $ORS$.
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) $(\text { volt) })^2(\mathrm{~kg})^{-1}$ |
Which of the following is smallest unit
In a particular system the units of length, mass and time are chosen to be $10\;cm , 10 \;g$, and $0.1\;s$ respectively. The units of force in this system will be equal to?