A car of $800 \mathrm{~kg}$ is taking turn on a banked road of radius $300 \mathrm{~m}$ and angle of banking $30^{\circ}$. If coefficient of static friction is $0.2$ then the maximum speed with which car can negotiate the turn safely : $\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2, \sqrt{3}=1.73\right)$
  • A$70.4 \mathrm{~m} / \mathrm{s}$
  • B$51.4 \mathrm{~m} / \mathrm{s}$
  • C$264 \mathrm{~m} / \mathrm{s}$
  • D$102.8 \mathrm{~m} / \mathrm{s}$
JEE MAIN 2024, Diffcult
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