A railway line is taken round a circular arc of radius $1000\ m$ , and is banked by raising the outer rail $h$ $m$ above the inner rail. If the lateral force on the inner rail when a train travels round the curve at $10\ ms^{-1}$ is equal to the lateral force on the outer rail when the train's speed is $20\ ms^{-1}$ . The value of $4g\ tan\theta $ is equal to : (The distance between the rails is $1.5\ m$ )
  • A$1$
  • B$2$
  • C$3$
  • D$4$
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