# An infinitely long slope is made up of a $c-\varphi$ soil having the properties: cohesion $(c)=20 \mathrm{kPa}$, and dry unit weight $\left(\gamma_{d}\right)=16 \mathrm{kN} / \mathrm{m}^{3}$. The angle of inclination and critical height of the slope are $40^{\circ}$ and $5 \mathrm{~m}$, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is

## Question ID - 156419 :- An infinitely long slope is made up of a $c-\varphi$ soil having the properties: cohesion $(c)=20 \mathrm{kPa}$, and dry unit weight $\left(\gamma_{d}\right)=16 \mathrm{kN} / \mathrm{m}^{3}$. The angle of inclination and critical height of the slope are $40^{\circ}$ and $5 \mathrm{~m}$, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is

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For vectors $\overrightarrow{\boldsymbol{F}}=3 x y \hat{\boldsymbol{I}}-y^{2} \hat{\boldsymbol{J}}$ and $\overrightarrow{\boldsymbol{R}}=x \hat{\boldsymbol{I}}+y \hat{\boldsymbol{J}},$ the value of $\int_{C} \overrightarrow{\boldsymbol{F}} \cdot d \overrightarrow{\boldsymbol{R}}$ on the curve
$\mathrm{C}\left(y=2 x^{2}\right)$ in the $x-y$ plane from (0,0) to (1,2) is
(A) -1.17
(B) 1.50
(C) -2.67
(D) 2.67