Convert MKS unit of force Into the CGS unit. Or Relate newton and dyne

1.	Convert MKS unit of force Into the CGS unit. Or Relate newton and dyne. OR Show that 1 newton =105 dyne by method of dimension.
Answer» Let MKS unit of force = n × CGS unit of force n = MKS unit of force/CGS unit of force = kg ms^-2/gm cms^-2 = kg ms^-2/10^-3 kg 10^-2 ms^-2 = 1/10^-5 = 10⁵ ∴ MKS unit of force = 10⁵ CGS unit of force i.e., 1 newton = 10⁵

Convert MKS unit of force Into the CGS unit. Or Relate newton and dyne. OR Show that 1 newton =105 dyne by method of dimension.

Answer»

Let MKS unit of force = n × CGS unit of force

n = MKS unit of force/CGS unit of force

= kg ms^-2/gm cms^-2

= kg ms^-2/10^-3 kg 10^-2 ms^-2

= 1/10^-5 = 10⁵

∴ MKS unit of force = 10⁵ CGS unit of force i.e., 1 newton = 10⁵