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

Physical World, Units and Measurements

Solution:

$Y = \frac{F}{A} .\frac{L}{\Delta L} =\frac{dyne}{cm^{2}} = \frac{10^{-5} N}{10^{-4} m^{2}} =0.1 N/m^{2}$