Multiple choice

A railway line is banked with an angle of 0.01 radians. The height of the outer rail over inner rail, if the distance between the two rail of 1.5 m, will be

  1. 0.025 m

  2. 0.035 m

  3. 0.015 m

  4. 0.045 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The height of the outer rail over the inner rail is given by h = d * sin(theta), where d is the distance between rails and theta is the angle. For small angles, sin(theta) is approximately theta. h = 1.5 * 0.01 = 0.015 m.

AI explanation

Using the angle formula for the banking of a railway line, we have height equals horizontal distance multiplied by the sine of the angle. For a very small angle of 0.01 radians, the sine of the angle is approximately equal to the angle itself. Thus, the height of the outer rail over the inner rail is 1.5 multiplied by 0.01, which equals 0.015 m.

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