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Question

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. Then,

A
hd=v2rg
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B
tan(sin1hd)=v2rg
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C
tan1(hd)=v2rg
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D
hr=v2dg
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Solution

The correct option is B tan(sin1hd)=v2rg
Ncosθ=mg
Nsinθ=mv2/r
tanθ=v2/rg
for train, AB= d and BB = h
sinθ=h/d
θ=sin1(h/d)
tanθ=tan(sin1h/d)=v2/rg
So, option B is correct.

829039_811603_ans_e358d5d8cf83482f82fd7da6b54a1cf9.PNG

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