Question

Young's modulus elasticity of steel is 19×10 raise to power 10 Newton/m2 into dyne/m2

1 NEWTON=100000 DYNE
its urgent......

Answer 1

unit of Young's modulus is N/m^2
Therefore, its dimensions = (Force)/(Distance)^2
[Y] = [MLT^-2]/[L^2] = [ML^-1T^-2]
                  1N/m^2 = (1kg) (1m^-1) (1s^-2)
                  1 dyne/cm^2 =(1g) (1cm^-1) (1s^-2)
Therefore, 1N/m^2/1dyne/cm^2 = (1kg/1g) (1m/1cm)^-1 (1s/1s)^-2
                                              = (10^3g/1g) (10^2cm/1cm)^-1 (1)^-2
                                              = 1000 * 1/100 * 1
                                              =10 
So, 1N/m^2 = 10 dyne/cm^2
Hence,19*10^10 Newton/m^2 = (19*10^10)*10 dyne/cm^2 = 19 x 10^11 dyne/cm^2
 

Answer 2

Y = 19 * 10¹°  Newton / m²

1 Newton = 1 kg-m/sec² = 1000 gm- 100cm/sec²
         = 10⁵ gm-cm/sec² = 10⁵ dyne
m² = 100² cm²

Newton/m² = 10⁵ dyne/m² = 10⁵ dyne/10⁴ cm² = 10 dyne/cm²

Y = 19 * 10¹° Newton/m²
   =  19 * 10¹° * 10⁵ dyne/m²
   = 19 * 10¹⁵ dyne/m²
   = 19 * 10¹¹ dyne/cm²