Looking for classes? Ksquare Career Institute, Bengaluru →
Young's modulus of steel is $1.9 \times 10^{11}N/m^{2}$. When expressed in CGS units of $\text{dyne} /cm^{2}$, it will be equal to ($1N = 10^{5} \text{dyne}$, $1m^{2} = 10^{4}cm^{2}$ )
Explanation
It is given that Young's modulus (Y) is, $Y = 1.9 \times 10^{11}N/m^{2}$. $1N = 10^{5} \text{dyne}$ So, $Y = 1.9 \times 10^{11} \times 10^{5} \text{dyne}/m^{2}$. Convert meter to centimeter $\because 1m = 100cm$ $Y = 1.9 \times 10^{11} \times 10^{5} \text{dyne}/(100)^{2}cm^{2} = 1.9 \times 10^{16-4}\text{dyne}/cm^{2}$. $Y = 1.9 \times 10^{12} \text{dyne}/cm^{2}$