Young's modulus of steel is 19×1010N/m2 . Express it as x×1011 dyne /cm2. Here dyne is the CGS unit of force. The value of x is ________________

The unit of Young's modulus is N/m2. This suggests that it has dimensions of  Force ( distance )2 Thus, [Y]=[F]L2=MLT−2L2=ML−1T−2⋅N/m2 is in SI units.   So, 1N/m2=(1kg)(1m)−1(1s)−2  and 1dyne/cm2=(1g)(1cm)−1(1s)−2  so,  1N/m21dyne/cm2=1kg1g1m1cm−11s1s−2=1000×1100×1=10 or 1N/m2=10dyne/cm2 or 19×1010N/m2=19×1011 dyne /cm2