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Q.

A railway track is banked for a speed v, by making the height of the outer rail h higher than that of the inner rail. The distance between the rails is d. The radius of curvature of the track is r

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a

hd=v2rg

b

tansin-1hd=v2rg

c

tan-1hd=v2rg

d

answer is B.

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Detailed Solution

For optimum angle of banking ,mv2rcosθ=mgsinθ = mg sinθtanθ=v2rg Here sin θ = h/d
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