Questions
If force (F), velocity (V) and time (T) are taken as the fundamental units, then the dimensions of mass are
a
[FVT-1]
b
[FVT-2]
c
[FV-1 T-1]
d
[FV-1T]
detailed solution
Correct option is D
Let m = FxVyTzBy substituting the following dimensions.[F] = [MLT-2], [V] = [LT-1], [T] = [T][M1L0T0] = [MLT-2]x[LT-1]y[T]z⇒ [M1L0T0] = [MxLx+yT-2x-y+z]x =1x+y = 0 ⇒y = -1-2x-y+z = 0 ⇒-2×1-(-1)+z = 0 ⇒ z = 1Hence [M] = FV-1TTalk to our academic expert!
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