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Prove: `gamma_t=(1+w)/(1+e)*G.gamma_w`

We know, by definition,

Bulk unit weight, `gamma_t=W/V`

Or,`gamma_t=(W_s+W_w)/(V_s+V_v )`

 `=W_s/V_s* (1+W_w/W_s)/(1+V_v/V_s)`

 `=gamma_s * (1+w)/(1+e)`

Thus, `gamma_t=gamma_s*(1+w)/(1+e)`

Again, we have,

Specific gravity,`G=gamma_s/gamma_w`

  Thus,

`gamma_t=(1+w)/(1+e)*G.gamma_w`

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