# A planetary probe is launched at a speed of $200 \mathrm{~km} / \mathrm{s}$ and at a distance of $71,400 \mathrm{~km}$ from the mass center of its nearest planet of mass $1.9 \times 10^{28} \mathrm{~kg}$. The universal gravitational constant, $G=6.67 \times 10^{-11} \frac{\mathrm{m}^{3}}{\mathrm{~kg} \mathrm{~s}^{2}}$. The ensuing path of the probe would be (A) elliptic (B) hyperbolic (C) parabolic (D) circular

## Question ID - 155729 :- A planetary probe is launched at a speed of $200 \mathrm{~km} / \mathrm{s}$ and at a distance of $71,400 \mathrm{~km}$ from the mass center of its nearest planet of mass $1.9 \times 10^{28} \mathrm{~kg}$. The universal gravitational constant, $G=6.67 \times 10^{-11} \frac{\mathrm{m}^{3}}{\mathrm{~kg} \mathrm{~s}^{2}}$. The ensuing path of the probe would be (A) elliptic (B) hyperbolic (C) parabolic (D) circular

3537

(B) hyperbolic

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The velocity profile of an incompressible laminar boundary layer over a flat plate developing under constant pressure is given by $\frac{u(y)}{U_{\infty}}=\frac{3 y}{2 \delta}-\frac{1}{2}\left(\frac{y}{\delta}\right)^{3}$. The freestream velocity $U_{\infty}=10 \mathrm{~m} / \mathrm{s}$ and the dynamic viscosity of the fluid $\mu=1.8 \times 10^{-5} \frac{\mathrm{kg}}{\mathrm{ms}}$. At a streamwise station where the boundary layer thickness $\delta=5 \mathrm{~mm}$, the wall shear stress is ___________$\times 10^{-3} P a$ 