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