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Th e density of a material in CGS system...

Th e 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, then the value of density of material will be

A

`0.04`

B

`0.4`

C

40

D

400

Text Solution

Verified by Experts

The correct Answer is:
C

By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure  and b is of the dimensions of volume.
[a] = [pressure] `[V^(2)]= [ML^(-1) T^(-2)] [L^(6)]= [ML^(5)T^(-2)]`
[b] `=[V]= L^(3)`
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