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Multiple choice physics learning how to measure measurement of small and large distances measurement of distance unit of fundamental quantities

The unit of the quantity $g/G$ in SI will be

  1. $kg$ ${m}^{-2}$
  2. $mk$ ${g}^{-2}$
  3. ${m}^{2}$ ${kg}^{-1}$
  4. ${kg}^{2}$ ${m}^{-1}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The quantity g is acceleration due to gravity (m/s^2) and G is the universal gravitational constant (N m^2/kg^2). The ratio g/G has units (m/s^2) / (N m^2/kg^2) = (m/s^2) * (kg^2 / (kg m/s^2 * m^2)) = kg/m^2.

Multiple choice physics learning how to measure measurement of small and large distances measurement of distance unit of fundamental quantities

The average kinetic energy $E$ of a gas molecule is given by the equation$E=\cfrac{3}{2}kT$
where $T$ is the absolute (kelvin temperature)
What are the SI base units if $k$?

  1. ${kg}^{-1}{m}^{-1}{s}^{2}K$
  2. ${kg}^{-1}{m}^{-2}{s}^{2}K$
  3. $kg$ ${ms}^{-2}{K}^{-1}$
  4. $kg{m}^{2}{s}^{-2}{K}^{-1}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Here ,

$E = \dfrac{3}{2}kT$
$\implies k= \dfrac{2E}{3T}$
$\implies [k] = \dfrac{[E]}{[T]}$
$\implies [k] = \dfrac{kgm^{2}s^{-2}}{K}$
$\implies [k] = kgm^2s^{-2}K^{-1}$