# Consider the plane strain field given by $\varepsilon_{x x}=A y^{2}+x, \quad \varepsilon_{y y}=A x^{2}+y$, $\gamma_{x y}=B x y+y .$ The relation between $A$ and $B$ needed for this strain field to satisfy the compatibility condition is (A) $B=A$ (B) $B=2 A$ (C) $B=3 A$ (D) $B=4 A$

## Question ID - 155374 :- Consider the plane strain field given by $\varepsilon_{x x}=A y^{2}+x, \quad \varepsilon_{y y}=A x^{2}+y$, $\gamma_{x y}=B x y+y .$ The relation between $A$ and $B$ needed for this strain field to satisfy the compatibility condition is (A) $B=A$ (B) $B=2 A$ (C) $B=3 A$ (D) $B=4 A$

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(D) $B=4 A$

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For hyperbolic trajectory of a satellite of mass $m$ having velocity $V$ at a distance $r$
from the center of earth ( $G:$ gravitational constant, $M:$ mass of earth), which one
of the following relations is true?

(A) $\quad \frac{1}{2} m V^{2}>\frac{G M m}{r}$
(B) $\quad \frac{1}{2} m V^{2}<\frac{G M m}{r}$
(C) $\quad \frac{1}{2} m V^{2}=\frac{G M m}{r}$
(D) $\quad \frac{1}{2} m V^{2}<\frac{2 G M m}{r}$