Last Updated On [03-11-2023]
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
Question ID - 156420 :- 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
Next Question :
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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