Question
One joule $= ..........$ erg.

Answer

Unit of energy is joule $= \ kgm^2/s^{2 }$
Joule is a $\text{MKS}$ unit and erg is a $\text{CGS}$ unit
$\text{MKS} = \text{CGS}$
$1m = 100\ cm$
$1s = 1s $
$1\ kg = 1000\ gm$
From above :
$1$ joule $= 1\ kgm^2/s^2$
$= 1000 \times 10000/1 \ cmm^2/s^2$
$= 10^7 gm*cm^2/s^2 $
$= 10^7erg$
So$, 1$ joule $= 10^7erg$

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