Questions
If velocity, time and force were chosen as basic quantities, find the dimensions of mass and energy.
a
[mass]=FTv-1, [Energy] =[FTv]
b
[mass]=FTv-2, [Energy] =[FTv]
c
[mass]=FTv-3, [Energy] =[FTv]
d
[mass]=FTv-4, [Energy] =[FTv]
detailed solution
Correct option is A
We know that, Force = mass × acceleration =mass× velocity time ⇒ mass = force x time velocity Or [ mass ]=[ force ]×[ time ][ velocity ]=[F][T][v] [mass]=FTv-1Dimensions of energy are same as the dimensions of kinetic energy[ Energy ]=12mv2=[m][v]2=FTv-1[v]2=[FTv]Talk to our academic expert!
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