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CBSE Class 11-science Answered

If force length and time are taken as the fundamental quantities then what would the dimensional formula density?
Asked by Konkonkishur | 25 Jun, 2018, 09:26: PM
answered-by-expert Expert Answer
Let Units of Force, Length and Time are F, L and T respectively.
 
density = Mass / Volume = (Force/Acceleration)/Volume .................(1)
 
Acceleration = (Change of velocity ) / Time  = (distance /Time) /Time ..............(2)
 
from eqn.(2), we can write uint of acceleration  = L / T2 ....................(3)
 
hence using unit of acceleration and using eqn.(1), unit of mass = begin mathsize 12px style fraction numerator F over denominator begin display style open parentheses bevelled fraction numerator begin display style L end style over denominator begin display style T squared space space end style end fraction close parentheses space cross times L cubed space end style end fraction space equals space fraction numerator F space cross times T squared over denominator L to the power of 4 end fraction end style
Answered by Thiyagarajan K | 25 Jun, 2018, 10:10: PM
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