Tag: measurements and units

Temperature is a fundamental quantity, so it can not be expressed as a derived quantity in terms of length, mass and time.So the correct option is (D).

Joule is a unit for work done and coulomb is the unit for the charge. The potential is defined as the ratio of the work done to the charge and the unit of the potential difference is volt. Hence, one joule per coulomb is equal to the unit of the potential difference. Therefore it will be equal to one Volt.

$\sqrt{\dfrac{\varepsilon _0}{\mu _0}}=\sqrt{\dfrac{\varepsilon _0^2}{\mu _0\varepsilon _0 }}=\varepsilon _0c=[M^{-1}L^{-3}T^{4}A^2][LT^{-1}]$
$[M^{-1}L^{-2}T^{3}A^2]$

Latent heat is related to the heat energy as:
$Q=mL$
$\displaystyle L=\frac {Q}{m}=Jkg^{-1}$

Fundamental unit $\rightarrow$ $Kg$
Derived unit $\rightarrow$ $N$
Practical unit $\rightarrow$ $Kg-Wt$
Supplementary unit $\rightarrow$ $rad$

The specific latent heat of a substance is the quantity of heat energy required to change the state of a unit mass of a substance.

The specific heat capacity  of a substance is the heat needed to raise

the temperature of 1 kg of the substance by 1K (or by ${1}^{0}C$).
The specific heat capacity of water is $4200 J{kg}^{-1}{K}^{-1}$.

The heat or thermal capacity of a defined system is the amount of heat required to raise the system's temperature by one degree. It is expressed in units of thermal energy per degree temperature.

Potential is work done per unit charge $\displaystyle =\frac {J}{c}$