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If the unit of force is 100 N, unit of l...

If the unit of force is 100 N, unit of length is 10m and unit of time is 100 s, what is the unit of mass in this system of units ?

Text Solution

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Dimension of force `F=[MLT^(-2)]=100 N" "…..(i) `
`"Length "(L)=[L]=10m" "…..(ii)`
`"Time "(t)=[T]=100 s" "……(iii)`
Substituting values of L and T from Eqs. (ii) and (iii) in Eq. (i), we get
`Mxx10xx(100)^(-2)=100`
`Rightarrow (Mxx10)/(100xx100)=100`
`Rightarrow M=100xx1000 kg`
`M=10^(5)kg`
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