A train has to negotiate a curve of radius 800 m. By how much height should the outer rail be raised with respect to inner rail for a speed of 96 kmh-1? The distance between the rails is 1 m.
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a
4.4 cm
b
9 cm
c
8.9cm
d
3.3 cm
answer is C.
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Detailed Solution
Given, v=96kmh-1=96×518 ms-1=26.67 ms-1∴ tanθ=v2Rg=(26.67)2800×10=0.089⇒ 0.089=h1∴h=0.089 m=8.9 cm