The angle of banking ' θ ' for a meter gauge railway line is given by θ = tan ⁻¹(1/20). What is the elevation of the outer rail above the inner rail? (a) 20 cm (b) 10 cm (c) 0.2 cm (d) 5 cm

Answer: (d). Metre gauge: distance between rails d = 1 m. Small angle: h = dsin θ ≈ dtan θ = 1 × 1/20 m h = 0.05 m = 5 cm So the answer is (d) 5 cm.

The angle of banking ' θ ' for a meter gauge railway line is given by… | MHT CET 2021 (21 Sep, Shift 2)

Q12MHT CET 2021 · 21 SEP · SHIFT 2Easy

Banking of Roads & Bridges

The angle of banking ' $\theta$ ' for a meter gauge railway line is given by $\theta = \tan^{-1}\left(\frac{1}{20}\right)$ . What is the elevation of the outer rail above the inner rail?

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Answer: (d)

Metre gauge: distance between rails $d = 1$ m.
Small angle: $h = d\sin\theta \approx d\tan\theta = 1 \times \frac{1}{20}$ m
$h = 0.05$ m $= 5$ cm
So the answer is (d) 5 cm.

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Banking of Roads & Bridges question from MHT CET 2021 (21 Sep, Shift 2)

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