Question

Convet 5erg into joule by dimensional analysis

Answer 1

$\huge\mathcal{\underline{\color{purple}Answer}}$

Joule is the S.I unit and erg is C.G.S  of the energy.

Using  Dimensional formula of joule and erg:

⇒ n1(Joule) = n2(erg)

⇒ n1$[M^{1}L^{2}T^{-2} ]$ = n2$[M^{1}L^{2}T^{-2} ]$

⇒ n1 = $\frac{10[M^{1}L^{2}T^{-2} ]}{10^{-6} [M^{1}L^{2}T^{-2} ]}$

⇒ n1= $10^{7}$

☆Therefore:

• 1 erg = $10^{7}$Joule

• 5 erg = $5$×$10^{7}$ Joule

Hence, 5 erg will be  $5$×$10^{7}$Joule.

Hope it Helps !!!