Correct Answer - Option 3 : 29410 kg
Concept:
A rail is designated by its weight per unit length. The various important factors to be considered in deciding the weight of rail are:
1. Speed of Train
2. The axle load
3. The Gauge of Track
4. Type of rails
5. Spacing of sleepers.
For India the ratio of the weight of rail in tonnes to the locomotive axle load in tonnes is fixed at 1: 510.
\(\frac{{{\rm{Weight\;of\;rail\;in\;tonnes}}}}{{{\rm{Locomotive\;axle\;load\;in\;tonnes}}}} = \frac{1}{{510}}{\rm{\;}}\)
Calculation:
Given data:
Weight of locomotive axle load, WL = 15000 tonnes
Weight of rail required, WR
So,
\(\frac{{{W_R}}}{{{W_L}}} = \frac{1}{{510}}\)
\({W_R} = \frac{{15000}}{{510}} = 29.41\;tonnes = 29410\;kg\)