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If The density of wood in C. G. S system...

If The density of wood in C. G. S system is 0.5 g `cm^(-3)`. If the corresponding value in S. I. the system is `N xx 10^(2)`, Find the value of N ?

Text Solution

Verified by Experts

The correct Answer is:
`0.5.00`
The unit of density in SI system is kg `m^(-3)`. From the dimensional analysis method, both densities should have the same amounts. Let the value of the density in standard units is x, then we can write,
`0.5 (gm)/(cm^(3)) =x(kg)/(m^(3))`
`(0.5 xx 10^(-3))/(10^(-6)) kg//m^(3) =x kg//m^(3)`
`x=(0.5 xx 10^(-3))/(10^(-6))=500`
In terms of N, we have `x=5 xx 10^(2)`, so N = 5
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