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A body moves along an uneven horizontal road surface with constant speed at all points. The normal reaction of the road on the body is

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minimum at C

the same at A,B and C

maximum at A

maximum at B

answer is A.

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Detailed Solution

From the figure,

At A,

$N_{A} - mg = \frac{{mV}^{2}}{R_{A}} \Rightarrow N_{A} = mg + \frac{{mV}^{2}}{R_{A}}$

At B,

$mg - N_{B} = \frac{{mV}^{2}}{R_{B}} \Rightarrow N_{B} = mg - \frac{{mV}^{2}}{R_{B}}$

At C,

$N_{C} = mg + \frac{{mV}^{2}}{R_{C}}$

$∵ R_{A} < R_{C}$

$N_{A}$ is greatest among all.

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