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 $
