Show that 1 Joule = 107erg by the method of dimension. – InterviewSolution

1.

Show that 1 Joule = 107erg by the method of dimension.

Answer»

Let MKS unit of work

= n × CGS unit of work.

n = MKS unit of work/CGS unit of work

= kg m²s^-2/gm cm²s^-2

= kgm²s^-2/10³ kg 10^-4 m²s^-2 = 1/10^-7

∴ MKS unit of work = 10⁷ CGS unit of work.

i.e 1 J = 10⁷ erg.

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