If energy (E), velocity (v) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be :
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a
Ev−2T−1
b
Ev−1T−2
c
Ev−2T−2
d
E−2v−1T−3
answer is C.
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Detailed Solution
Let surface tension [s] =ExvyTzWe have [s] =MT−2E=ML2T−2,v=LT−1 and T=T=ML2T−2xLT−1yTzM1L0T−2=MxL2x+yT-2x−y+zx = 12x + y = 0 y = -2-2x - y + z = -2⇒−2×1−−2+z=−2⇒z=−2Hence [s] = Ev−2T−2