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If instead of mass, length and time as f...

If instead of mass, length and time as fundamental quantities we choose velocity, acceleration and force as fundamental quantities and express their dimesional symbols as v, a and F respectively. Show that the dimensions of Young's modulus can be expressed as `Fa^(2)v^(-4)`

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To express the dimensions of Young's modulus in terms of velocity (v), acceleration (a), and force (F), we can follow these steps: ### Step 1: Understand the Definition of Young's Modulus Young's modulus (Y) is defined as the ratio of stress to strain. The formula for Young's modulus is given by: \[ Y = \frac{\text{Stress}}{\text{Strain}} \] ### Step 2: Express Stress and Strain - **Stress** is defined as force per unit area: ...
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