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The angle of banking ( theta ) for ...

The angle of banking `( theta ) ` for a metre gauge railway line is given by ` theta = sin ^(-1) ((1)/(20))` . What is the elevation of the outer rail above the inner rail ?

A

4 cm

B

5 cm

C

8 cm

D

12 cm

Text Solution

Verified by Experts

The correct Answer is:
B

for metre gauge railway `L = 1 m= 100 cm`
From the figure ,` sin theta =(h )/(L ) = (1 )/(20)`
` therefore (1)/(20) =(h) /( 100) therefore 20 h = 100 therefore h= 5 cm`
` therefore ` The elevation of the outer rail above the inner rail = 5 cm
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