Value of gravitational acceleration C.G.S. system is 980 cm / sec ? . value of g in M.K.S system?

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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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