Question

Find the conversion factor between si and cgs unit of pressure

Answer 1

$Pressure = \frac{force}{area}$

hence dimensions of pressure is
$[ {M}^{1} {L}^{ - 1} { T}^{ - 2} ]$
Now let [M1L−1T−2]¡ be dimensions for pressure in SI system and [M1L−1T−2]¿ in CGS system.

[M1L−1T−2]¡ = x• [M1L−1T−2]¿

x = [M1L−1T−2]¡ / [M1L−1T−2]¿

putting units

x = (kg /g )• (m/cm)^-1 • (sec/sec)^-2
x = 10^3 • 10^-2 •1
x = 10

hence conversation factor is 10^1