A railway track is banked for a speed \( v \), by making the \( \mathrm{P} \) height of the oute...

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A railway track is banked for a speed \( v \), by making the
\( \mathrm{P} \) height of the outer rail \( h \) higher than that of the inner rail. The

W. horizontal separation between the rails is \( d \). The radius of curvature of the track is \( r \) : then which of the following relation is true?
(A) \( \frac{h}{d}=\frac{v^{2}}{r g} \)
(B) \( \tan \left(\sin ^{-1} \frac{h}{d}\right)=\frac{v^{2}}{r g} \)
(C) \( \tan ^{-1}\left(\frac{h}{d}\right)=\frac{v^{2}}{r g} \)
(D) \( \frac{h}{r}=\frac{v^{2}}{d g} \)
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