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Civil Engineering · Q239

Hydraulics And Fluid Mechanics

Engineering and GATE · Civil Engineering · question 239

Q239

Dimensions of surface tension are

A.
ML0T2
B.
ML0T-2
Answer
C.
ML1T-2
D.
ML-1T-2

Answer: Option B

Solution

Answer: Option B
Solution:
We know that Surface Tension (σ) = Force / Length

Step-by-Step Dimensional Analysis:

1. Dimensional Formula of Force (F):
- Force = Mass × Acceleration
- Acceleration = Length / Time² = LT-2
- So, Force = M × LT-2 = MLT-2

2. Dimensional Formula of Length (L):
- L = L1

3. Dividing Force by Length:
- σ = (MLT-2) / L
- σ = ML(1-1)T-2 = ML0T-2

Thus, the correct dimensional formula for surface tension is ML0T-2, making Option B the correct choice.