engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Physics Units, Dimensions and Measurements Dimensional formulae and dimensional equations
A physical quantity of the dimensions of length that can be formed out of c, G and \(\frac{e^{2}}{4 \pi \varepsilon_{0}}\) is [c is velocity of light, G is universal constant of gravitation and e is charge]
1
\(\frac{1}{c} \text{G} \frac{e^{2}}{4 \pi \varepsilon_{0}}\)
2
\(\frac{1}{c^{2}}\left[\text{G} \frac{e^{2}}{4 \pi \varepsilon_{0}}\right]^{\frac{1}{2}}\)
3
\(c^{2}\left[\text{G} \frac{e^{2}}{4 \pi \varepsilon_{0}}\right]^{\frac{1}{2}}\)
4
\(\frac{1}{c^{2}}\left[\frac{e^{2}}{\text{G} 4 \pi \varepsilon_{0}}\right]^{\frac{1}{2}}\)