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If Surface tension (S), Moment of Inert...

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 :

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) `

Text Solution

AI Generated Solution

To find the dimensional formula for linear momentum (P) in terms of surface tension (S), moment of inertia (I), and Planck's constant (h), we will follow these steps: ### Step 1: Determine the Dimensional Formulas 1. **Surface Tension (S)**: - Surface tension is defined as force per unit length. - Force (F) has the dimensional formula: \( [F] = [M][L][T^{-2}] \) - Therefore, the dimensional formula for surface tension is: ...
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