Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:  Option: 1 <img alt="\left[\mathrm{FL}^{-3}\mathrm{~T}^{3}\right]" src="https://entrancecorner.codecogs.com/

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:
 
Option: 1 \left[\mathrm{FL}^{-3}\mathrm{~T}^{3}\right]
Option: 2 \left[\mathrm{FL}^{-4} \mathrm{~T}^{2}\right]
Option: 3 \left[\mathrm{FL}^{-5}\mathrm{~T}^{2}\right]
Option: 4 \left[\mathrm{F} L^{-3} \mathrm{~T}^{2}\right]

Answers (1)

best_answer

Let density  \alpha \: F^{x}\: L^{y}\: T^{z}\\

\left [ Density \right ]= \left [ F \right ]^{x}\left [ L \right ]^{y}\left [ T \right ]^{z}\\

                    = \left [ M^{1}L^{1}T^{-2} \right ]^{x}\left [ L \right ]^{y}\left [ T \right ]^{z}\\

\left [ M^{1}L^{-3}T^{0} \right ]= \left [ M^{x}L^{x+y}T^{-2x+z} \right ] \\

x= 1\\              ...........(1)

x+y= -3\\

y= -4\\          ...........(2)

-2x+z= 0\\

z= 2\\              ...........(3)

\left [ Density \right ]= \left [ F^{1}L^{-4}T^{2} \right ]

Posted by

vishal kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in

Latest Question