$A$ train has to negotiate a curve of radius $r \ m$. The distance between the rails is $\ell \ m$ and the outer rail is raised above the inner rail by a distance of $h \ m$. If the angle of banking is small,the safety speed limit on this banked track is:

  • A
    $\sqrt{rg \left(\frac{h}{\ell}\right)}$
  • B
    $rg \frac{h}{\ell}$
  • C
    $\frac{(\frac{h}{\ell})^2}{rg}$
  • D
    $(rg \frac{h}{\ell})^2$

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