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

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

Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type of tests with the characterization parameters.

Group I $\quad$ Group II

P. Pressuremeter Test (PMT) 1. Menard's modulus $\left(E_{m}\right)$

Q. Static Cone Penetration Test (SCPT) 2. Number of blows ( $N$ )

R. Standard Penetration Test (SPT) 3. Skin resistance $\left(f_{c}\right)$

S. Vane Shear Test (VST) 4. Undrained cohesion $\left(c_{u}\right)$

(A) $P-1 ; Q-3 ; R-2 ; S-4$

(B) $P-1 ; Q-2 ; R-3 ; S-4$

(C) $P-2 ; Q-3 ; R-4 ; S-1$

(D) $P-4 ; Q-1 ; R-2 ; S-3$

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