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1.Units, Dimensions and Measurement
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The value of gravitational acceleration $C.G.S.$ system is $980 \;cm / sec$ ? .find the value of $g$ in $M.K.S$ system?
A
$980$
B
$0.980$
C
$9.8$
D
$98$
Solution
$g=M^0L^1T^{-2}$ in $CGS$
in $MKS$ $\Rightarrow\; L(cm) = 10^{-2} L (m), T (s) = 10^0 T (s) $
$M^0L^1T^{-2 } = M^0(10^{-2}L)1(10^{-0}T)^{-2} = 10^{-2} (M^0L^1T^{-2} ) $
$1cm/s^2 = 10^{-2} m/s^ 2 $
$980 \;cm/s^2 = 980\times 10^{-2}\; m/s ^2 = 9.8\; m/s^2$
Standard 11
Physics
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