Young's modulus of steel is `19xx10^10 N/m^2`. Expres it indyne/cm^2. Here dyne is the CGS unit of force.

Explanation

The unit of Young's modulus is `N//m^(2)`.
This suggest that it has dimensions of `("Force")/("distance") ^(2)` .
Thus, `[Y] = ([F])/(L^(2)) =(MLT^(-2))/(L^(2)) = ML^(-1)T^(-2)` .
`N//m^(2) ` is in SI units ,
So, `1 N//m^(2) = (1kg)(1m)^-1(1s)^(-2`
and `1 "dyne"//cm^(2) = (1g )(1cm)^(-1) (1s)^(-2) `
so , `(1N//m^(2))/(1"dyne" //cm^(2))=((1kg)/(1g))((1 m)/(1cm))^(-1)((1s)/(1s))^(-2)=1000xx(1)/100xx1=10`
or, `1N//m^(2)=10 "dyne"//cm^(2)`
or, `19xx10^(10) N//m^(2) = 19xx10^(11) "dyne" //m^(2)`.