Q. 33.6( 5 Votes )

In a new system o

Answer :

To represent gravitational constant G in dimensions of a new system of units where energy, power and density are fundamental units, we first decide the representation of new fundamental units, [ ] represents dimension.

[Energy] = E


[Power] = P


[Density] = D


In standard system of mass, length, time and ampere:


…..1 ()


…..2 ( )


…..3 ( )


Now,






..(Putting 1, 2, 3 in 4)


Now, we also know that


…..5


(Since,, or


)


Comparing 4 and 5, we get


…..6


…..7


…..8


Solving equations 6, 7 and 8, we get:



So,



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