If Surface tension (S), Moment of Inertia (I) and Planck’s constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :

Options

A. ` S^( 1//2 ) I^( 3// 2 ) h ^( -1 ) `
B. ` S^( 1//2 ) I ^( 1//2 ) h ^( -1 ) `
C. `S^( 1//2 ) I ^ (1//2 ) h ^ 0 `
D. `S^( 3// 2 ) I ^( 1//2 ) h ^(0) `

Explanation

To find the dimensional formula for linear momentum in terms of surface tension (S), moment of inertia (I), and Planck's constant (h), we will follow these steps:

### Step 1: Identify the Dimensional Formulas
We start by writing down the known dimensional formulas for each of the quantities involved:

1. **Surface Tension (S)**:
- Surface tension is defined as force per unit length.
- The dimensional formula for force (F) is \( [F] = MLT^{-2} \).
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