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MHT CET 2026 (19 May, Shift 1) · Level Road & Rotating Platform

Level Road & Rotating Platform question from MHT CET 2026 (19 May, Shift 1)

Q2MHT CET 2026 · 19 MAY · SHIFT 1Medium

Level Road & Rotating Platform

On a dry curved (banked) road, with banking angle of zero, the maximum safe speed for a moving vehicle is ' $v$ '. After heavy rain, the maximum safe speed for the same road was reduced by 60%. The ratio of the coefficient of friction for the dry road to that of the wet road is

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Answer: (d)

Flat road: $v_{max} = \sqrt{\mu r g}$ , so $\mu \propto v^2$ .
Speed reduced by 60%: $v' = 0.4v$ .
$\frac{\mu_{dry}}{\mu_{wet}} = \frac{v^2}{(0.4v)^2} = \frac{1}{0.16} = \frac{25}{4}$
So the answer is (d) $25 : 4$ .

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