# The magnitude of the $x$ -component of a unit vector at the point (1,1) that is normal to equipotential lines of the potential function $\phi(r)=\frac{1}{r^{2}+4},$ where $r=\sqrt{x^{2}+y^{2}},$ is _____________(accurate to two decimal places).

## Question ID - 155531 :- The magnitude of the $x$ -component of a unit vector at the point (1,1) that is normal to equipotential lines of the potential function $\phi(r)=\frac{1}{r^{2}+4},$ where $r=\sqrt{x^{2}+y^{2}},$ is _____________(accurate to two decimal places).

3537

Answer Key : (0.68 to 0.73) -

0.68 to 0.73

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Assuming ISA standard sea level conditions $\left(288.16 \mathrm{~K},\right.$ density of $1.225 \mathrm{~kg} / \mathrm{m}^{3}$, $\left.\mathrm{g}=9.81 \mathrm{~m} / \mathrm{s}^{2}, \mathrm{R}=287 \mathrm{~J} /(\mathrm{kg}-\mathrm{K})\right)$, the density (in $\mathrm{kg} / \mathrm{m}^{3}$ ) of air at Leh, which is at an altitude
of $3500 \mathrm{~m}$ above mean sea level is___________ $\quad$ (accurate to two decimal places). 