Question

Convert one atmospheric pressure (=10^5 N/m^2) to
dyne / cm^2​

Answer 1

The dimensional formula of pressure is [M^1 L^-1 T^-2]

∴ a=1, b=-1, c=-2

As we have to convert mks system into cgs system

∴ M1=1kg, L1=1m, T1-1s and M2=1g, L2=1cm, T2=1s

n1-10^5 N/m^2, n2=?

As n2 = n1 (M1/M2)^a (L1/L2)^b* (T1/T2)^c

= 10^5×(1kg/1g)^1 × (1m/1cm)^1× (1s/1s)^1

=10^5× (1000g/1g)×(100cm/1cm)×1

= 10^5×10^3×10^-2

=10^6

So, 10^5 N/m² = 10^6 dyne/cm²