To determine the young's modulus of a wire , the formula is ` Y = (F)/( A) . (L)/ ( Delta l)` , where `L` = l ength ,` A` = area of cross - section of the wire , `DeltaL` = change in the length of the wire when streched with a force `F`. Find the conversion factor to change it from CGS t o MKS system.
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We know that the dimension of young's modulus is ` [ML^(-1)T^(2)]` , i.e., `a = 1 , b= -1 , c = -2` `CGS unit : g cm^(-1) s^(-2) and MKS unit : kg m^(-1) s^(-2)` By using the conversion formula: `|{:(MKS" system",,CGS" system"),(M_(1)=1kg,,M_(2)=1g),(L_(1)=1m,,L_(2)=1cm),(T_(1)=1s,,T_(2)=1s):}|` `n_(2) = n_(1) [(M_(1))/(M_(2))]^(1) [[(L_(1))/(L_(-1))]^(b)[(T_(1))/(T_(2))]^(-2) = [(g)/(kg)]^(1) [(cm)/(m)]^(-1) [(s)/(s)]^(-2)` `:.` Conversion factor `= (n_(2))/(n_(1)) = [(g)/(10^(3)g)]^(1) [(cm)/(10^(2) cm)]^(-1) [ (s)/( s)]^(-2) = (1)/(10) = 0.1`
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