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Question

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, then dimensional formula of surface tension will be :


A

[E-2 V-1 T-3]

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B

[E V-2 T-1]

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C

[EV-1T-2]

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D

[EV-2T-2]

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Solution

The correct option is D

[EV-2T-2]


[Surface Tension] = MT2

MT2=KEaVbTc

=k(ML2T2)a(LT1)bTc
MT2=KMaL2a+bT2ab+c
a=1

2a + b = 0

-2a – b + c = -2

On solving a = 1, b = -2 , c = - 2

Required answer is EV2T2


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