A vertical cut is to be made in a soil mass having cohesion $c,$ angle of internal friction $\varphi$, and unit weight $y$. Considering $K_{\omega}$ and $K_{p}$ as the coefficients of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is

(A) $\frac{4 c}{\gamma \sqrt{K_{p}}}$

(B) $\frac{2 c \sqrt{K_{p}}}{\gamma}$

(C) $\frac{4 c \sqrt{K_{a}}}{\gamma}$

$\text { (D) } \frac{4 c}{\gamma \sqrt{K_{0}}}$

A vertical cut is to be made in a soil mass having cohesion $c,$ angle of internal friction $\varphi$, and unit weight $y$. Considering $K_{\omega}$ and $K_{p}$ as the coefficients of active and passive earth pressures, respectively, the maximum depth of unsupported excavation is

(A) $\frac{4 c}{\gamma \sqrt{K_{p}}}$

(B) $\frac{2 c \sqrt{K_{p}}}{\gamma}$

(C) $\frac{4 c \sqrt{K_{a}}}{\gamma}$

$\text { (D) } \frac{4 c}{\gamma \sqrt{K_{0}}}$

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