The International System of Units

Name the physical quantity whose S.I. unit is $\mathrm{J} {\mathrm{C}}^{-1}$. Is it a scalar or a vector quantity?

The density of material in the CGS system of units is $\frac{4g}{{\mathrm{cm}}^3}$. 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

The ‘rad’ is the correct unit used to report the measurement of

The surface tension of water in C.G.S. units is$70 \mathrm{dyne} {\mathrm{cm}}^{-1}$ . It's S.I. unit is

How the SI unit of length is defined?

How the SI unit of time is defined?

The solid angle is a dimensionless quantity.

What is solid angle?

Pound is the unit of _____ in the F.P.S. system.

The unit of length in the FPS system is:

Supplementary physical quantities are physical quantities which do not depend on other physical quantities like fundamental physical quantities.

Supplementary physical quantities are physical quantities which do not depend on other physical quantities like fundamental physical quantities.

_____ is the S.I unit of electric charge.

A calorie is a unit of heat or energy, and it equals about $4.2 \mathrm{J}$ where $1 \mathrm{J} = 1 \mathrm{kg} {\mathrm{m}}^2 {\mathrm{s}}^{-2}$ . Suppose we employ a system of units in which the unit of mass equals $a \mathrm{kg}$ , the unit of length equals $b\mathit{ }\mathrm{m}$, the unit of time is $g \mathrm{s}$ . Show that a calorie has a magnitude $4.2 a^{-1}{b}^{-2}{g}^2$ in terms of the new units.

$\mathrm{G}=6.67\times {10}^{-11} \mathrm{N} {\mathrm{m}}^2 {\mathrm{kg}}^{-2} =$_____ $\times {10}^{-8} {\left(\mathrm{cm}\right)}^3{\mathrm{s}}^{-2} {\mathrm{g}}^{-1}$

$3.0 \mathrm{m} {\mathrm{s}}^{-2}$= _____ $\times {10}^4 \mathrm{km} {\mathrm{h}}^{-2}$(Up to correct significant figures.)

$1 \mathrm{kg} {\mathrm{m}}^2 {\mathrm{s}}^{-2}$ = _____ $\times {10}^7 \mathrm{g} {\mathrm{cm}}^2 {\mathrm{s}}^{-2}$

Note:In stating numerical answers, take care of significant figures.

The SI unit of volume is litre.