Dimensions of surface tension are

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Dimensions of surface tension are

A. ML⁰T²

B. ML⁰T^-2

C. ML¹T^-2

D. ML^-1T^-2

Answer: Option B

Solution (By Examveda Team)

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.

This Question Belongs to Civil Engineering >> Hydraulics And Fluid Mechanics

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Comments (5)

Mahir Asif:

1 year ago

Answer will be "B"
Malik Hasni:

2 years ago

MT−2
Kashif Niazi:

2 years ago

Answer B
Zahoor Reki:

5 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:

6 years ago

Wrong

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