To determine the Young #39;s modulus of

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To determine the Young's modulus of a wire, the formula is $Y = \frac{FL}{A\Delta L};$ 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 .............. $10^{-1}\mathrm{N/m}^{2}$

A

$100$

B

$10$

C

$1$

D

$0.01$
To determine the Young's modulus of a wire, the formula is $Y = \frac{FL}{A\Delta L};$ 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 .............. $10^{-1}\mathrm{N/m}^{2}$
$Y = \frac{F}{A}.\frac{L}{{\Delta L}}$= $\frac{{dyne}}{{c{m^2}}} = \frac{{{{10}^{ - 5}}N}}{{{{10}^{ - 4}}{m^2}}} = 0.1N/{m^2}$