Question

To determine the Young's modulus of a wire, the formula is $Y=\frac{F}{A},\frac{L}{△l}$; where $L=length,A=$ area of cross-section of the wire, $△L=$ Change in length of the wire when stretched with a force $F$. The conversion factor to change it from $CGS$ to $MKS$ system is

• A. $1$
• B. $10$
• C. $0.1$
• D. $0.01$

Answer 1

The correct option is C $0.1$

CGS unit of Y is dyn/${cm}^2$

MKS unit of Y is N/$m^2$

1 dyn/${cm}^2$ = $\frac{{10}^{-5}N}{{\left(\frac{1}{100}\right)}^2{m}^2}$ $[1N={10}^{5}dyn1m=100cm]$

= ${10}^{-5}\times {10}^{4}N/m^2$

= $0.1N/m^2$

$\therefore$ Conversion factor will be 0.1