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Question

The density of a material in CGS system of units is 4 g/cm3. 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
40 unit
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B
4 unit
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C
0.4 unit
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D
0.04 unit
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Solution

The correct option is A 40 unit
In CGS system, d=4 g/cm3
Since, the unit of mass is 100 g and unit of length is 10 cm, so
density, d=4(100 g100)(10 cm10)3
d=(4100)(100 g)(110)3(10 cm)3
d=4×103100 unit=40 unit

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