Question

convert one erg to joule dimensionaly​

Answer 1

Explanation:

10 erg will be 10⁸ joule.

Explanation:

Convert 10 erg into joule.

Using dimensional formula,

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

Dimensional formula of joule and erg.

n_{1}(joule)=n_{2}(erg)n1(joule)=n2(erg)

n_{1}[M^{1}L^{2}T^{-2}]=n_{2}[M^{1}L^{2}T^{-2}]n1[M1L2T−2]=n2[M1L2T−2]

n_{1}=\dfrac{10[M^{1}L^{2}T^{-2}]}{10^{-6}[M^{1}L^{2}T^{-2}]}n1=10−6[M1L2T−2]10[M1L2T−2]

n_{1}=10^7n1=107

Therefore,

1\ erg = 10^7 joule1 erg=107joule

10\ erg=10^8 joule10 erg=108joule

Hence, 10 erg will be 10