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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

Option: 1

400


Option: 2

0.04


Option: 3

0.4


Option: 4

40


Answers (1)

best_answer

As learnt in

To convert a physical quantity from one system to other -

n_{1}left [ u_{1} 
ight ]= n_{2}left [ u_{2} 
ight ]

 

- wherein

n_{2}=n_{1}left [ frac{M_{1}}{M_{2}} 
ight ]^{a}left [ frac{L_{1}}{L_{2}} 
ight ]^{b}left [ frac{T_{1}}{T_{2}} 
ight ]^{c}

 

 

n_{1}left [ u_{1} 
ight ]= n_{2}left [ u_{2} 
ight ]

4g/cm^{3}=n^{2}\frac{100g}{(10cm)^{3}}=n_{2}=40

Posted by

Irshad Anwar

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