c$-$ Earth pressure at rest

d$-$ Vertical pressure

e$-$ None of the above points

$41.$ A retaining wall with a smooth vertical back support soil for a depth of $8m,$which has the following properties : $c={20}^{\frac{kN}{m^2}},\frac{O}{?}={15}^{**},y=18\mathrm{.}5\frac{kN}{m^3},ka$ equal to :

a$)0\mathrm{.}3$

b$)0\mathrm{.}589$

c$)0\mathrm{.}321$

d$)0,2$

e$)0\mathrm{.}9$

$42.$ The coefficient of active earth pressure is $q,$ than the coefficient of passive pressure

a$)$less

b$)$ greater

c$)$equal to

d$)$high

e$)$more

$43.$for earth pressure at rest $,$ there will be no $q,$

a$)$vertical stress

b$)$ shear stress

c$)$horizontal stress

d$)$both vertical and horizontal stress e$)$none of the mentioned

$44.$ when the height of retaining wall is $6m$ in sand soil, then the location of point of application of the resultant force from the base is

a$)10m$

b$)2m$

c$)3m$

d$)7m$

e$)4m$

$45.$ The lateral earth pressure on a retaining wall :

a$)$ is equal to mass of the soil retained

b$)$proportional to the depth of the soil

c$)$proportional to the square of the depth of the soil

d$)$proportional to the internal friction of the soil

e$)$none of these

$46.$back fill with a sloping surface exerts a total active pressure $Pa$ on the wallof height $H$ and acts at

a$)\frac{H}{4}$ above the base parallel to base

b$)\frac{H}{2}$ above the base parallel to base

c$)\frac{H}{3}$ above the base parallel to base

d$)$ H$/5$ above the base parallel to base

e$)\frac{H}{6}$ above the base parallel to base

$47.$ when the surcharge angle reduces to zero, the coefficient of active earth pressure is given by $.....$

a$)Ka=1$

b$)Ka=1-sin\frac{}{1}+sin$

c$)Ka=1+sin\frac{}{1}-sin$

d$)Ka=0$

e$)Ka=1-sin$