Question:
The density of a material in $CGS$ system of units is $4\,g\,cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$. the value of density of material will be
The density of a material in $CGS$ system of units is $4\,g\,cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$. the value of density of material will be
Updated On: Jul 25, 2024
- $0.04$
- $0.4$
- $40$
- $400$
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The Correct Option is C
Solution and Explanation
$M = d \cdot V $
$\Rightarrow d =\frac{ M }{ L ^{3}}$
$\Rightarrow d =\frac{4 \,gm }{ cm ^{3}}=\frac{4(1 / 100)}{10^{-3}} $
$=40 \frac{ gm }{ cm ^{3}}$
$\Rightarrow d =\frac{ M }{ L ^{3}}$
$\Rightarrow d =\frac{4 \,gm }{ cm ^{3}}=\frac{4(1 / 100)}{10^{-3}} $
$=40 \frac{ gm }{ cm ^{3}}$
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