If p₁ is the vertical intensity of pressure at a depth h on a block of earth weighing w per unit volume and the angle of repose $$\varphi $$, the lateral intensity of pressure p₂ is

A) $$\frac{{{\text{wh}}\left( {1 - \cos \varphi } \right)}}{{\left( {1 + \sin \varphi } \right)}}$$ B) $$\frac{{{\text{wh}}\left( {1 - \sin \varphi } \right)}}{{\left( {1 + \sin \varphi } \right)}}$$ C) $$\frac{{{\text{wh}}\left( {1 - \tan \varphi } \right)}}{{\left( {1 + \tan \varphi } \right)}}$$ D) $$\frac{{{\text{w}}\left( {1 - \sin \varphi } \right)}}{{{\text{h}}\left( {1 + \sin \varphi } \right)}}$$

Answer & Solution

Correct Answer: Option B

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If p1 is the vertical intensity of pressure at a depth...

If p1 is the vertical intensity of pressure at a depth h on a block of earth weighing w per unit volume and the angle of repose $$\varphi $$, the lateral intensity of pressure p2 is

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If p₁ is the vertical intensity of pressure at a depth h on a block of earth weighing w per unit volume and the angle of repose $$\varphi $$, the lateral intensity of pressure p₂ is