A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10 m/s²) :
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Question

A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10 m/s²) :

Options

G1 Physics · Accepted Answer

For banking of rails, tanθ = v²/(Rg) Also, tanθ = h/1.5 Therefore, h/1.5 = 12²/(400 × 10) h = 1.5 × 144/4000 = 0.054 m = 5.4 cm Correct option: B.