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Question: The density of a material in CGS system of units is 4 g cm<sup>-3</sup>. In a system of units in whi...

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

A

0.04

B

0.4

C

40

D

400

Answer

40

Explanation

Solution

As n1u1=n2u2n_{1}u_{1} = n_{2}u_{2}

4gcm3=n2100g(10cm)3n2=404\frac{g}{cm^{3}} = n_{2}\frac{100g}{(10cm)^{3}} \Rightarrow n_{2} = 40