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Dimensions of surface tension are

This question belongs to Civil Engineering Hydraulics And Fluid Mechanics
Hydraulics and Fluid Mechanics
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Dimensions of surface tension are

Answer & Solution
Correct Answer: Option B
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.
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5 Comments
Mahir Asif
Mahir Asif 2 years ago
Answer will be "B"
Malik Hasni
Malik Hasni 3 years ago
MT−2
Kashif Niazi
Kashif Niazi 3 years ago
Answer B
Zahoor Reki
Zahoor Reki 6 years ago
Surface tention = N/m
N= Newton
M= meter
N= kg.m/sec^2=M^1 L^1 T^-2] /M=[L^-1] Therefore, surface tension is dimensionally represented as M^1L^° T^-2.
Anonymous Agyaat
Anonymous Agyaat 6 years ago
Wrong
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