Verified Solution • 2025–26 Session moderate

QJEEM21Ph285e: JEE Main 2021 Physics - Class 11 JEEM21Ph285e Solution: Statement I : A cyclist is moving on an unbanked road with a…

Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh−1 and takes a sharp circular turn along a path of radius of 2m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve. (g = 9.8 m/s2)

Statement II : If the road is banked at an angle of 45∘, cyclist can cross the curve of 2m radius with the speed of 18.5 kmh−1 without slipping.

In the light of the above statements, choose the correct answer from the options given below.

Multiple Choice Options

  • A Statement I is incorrect and statement II is correct
  • B Both statement I and statement II are true
  • C Statement I is correct and statement II is incorrect
  • D Both statement I and statement II are false

Step-by-Step Verified Solution

On a horizontal ground,

vmax=μRg=0.2×2×9.8=1.97 m/s

= 1.97×185

= 7.12 km/hr = 7.2 km/hr

Statement - 2

vmax=gr(tan⁡θ+μ1−μtan⁡θ)=2×9.8×120.8=19.5 km/hr

vmin=rg(tan⁡θ−μ1+μtan⁡θ)=2×9.8×0.81.2=12.01 km/hr

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