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A circular railway track of radius r is ...

A circular railway track of radius r is banked at angle `theta` so that a train moving with speed v can safely go round the track. A student writes: `tan theta =rg//v^(2)`. Why this relation is not correct?
(i) Equality of dimensions does not guarantee correctness of the relation .
(ii) Dimensionally correct relation may not be numerically correct.
iii) The relation is dimensionally incorrect.

A

(i )& (ii)

B

(ii) & (iii)

C

(iii) & (i)

D

(i) , (ii) & (iii)

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The correct Answer is:
A
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