Physics And Measurement Question 163

Question: Density of a liquid in CGS system is 0.625 $ g/cm^{3} $ . What is its magnitude in SI system?

[J&K CET 2005]

Options:

A) 0.625

B) 0.0625

C) 0.00625

D) 625

Show Answer

Answer:

Correct Answer: D

Solution:

CGS SI $ N _{1}U _{1}=N _{2}U _{2} $

$ N _{1}[ M _{1}L _{1}^{-3} ]=N _{2}[ M _{2}L _{2}^{-3} ] $

$ \therefore $ $ N _{2}=N _{1}[ \frac{M _{1}}{M _{2}} ]\times {{[ \frac{L _{1}}{L _{2}} ]}^{-3}} $

$ =0.625[ \frac{1g}{1kg} ]\times {{[ \frac{1cm}{1m} ]}^{-3}} $

$ =0.625\times {{10}^{-3}}\times 10^{6}=625 $



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