Verified Solution • 2025–26 Session moderate

QJEEM23Phc21b: JEE Main 2023 Physics - Class 11 JEEM23Phc21b Solution: A car is moving on a horizontal curved road with radius 50 m.…

A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [take g = 10 ms −2^{-2} ]

Multiple Choice Options

  • A 3.4 ms −1^{-1}
  • B 13 ms −1^{-1}
  • C 22.4 ms −1^{-1}
  • D 17 ms −1^{-1}

Step-by-Step Verified Solution

fs=mv2rf_{s}=\frac{m v^{2}}{r}

For maximum speed in safe turning,

fs=fsmax⁡=μmg\mathrm{f}_{\mathrm{s}}=\mathrm{f}_{\mathrm{s}} \max =\mu \mathrm{mg}

vmax⁡\mathrm{v}_{\max } (for safe turning) =μrg=\sqrt{\mu \mathrm{rg}}

=0.34×50×10≈13 m/s=\sqrt{0.34 \times 50 \times 10} \approx 13 \mathrm{~m} / \mathrm{s}

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