A rail track made of steel having length 10 m is clamped on a railway line at its two ends (Fig). On a summer day due to rise in temperature by 20° C , it is deformed as shown in figure. Find x (displacement of the centre) if αsteel = 1.2× 10-5 /°C.
A rail track made of steel having length 10 m is clamped on a railway line at its two ends (Fig). On a summer day due to rise in temperature by 20° C , it is deformed as shown in figure. Find x (displacement of the centre) if αsteel = 1.2× 10-5 /°C.
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1 Answer
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This is a long answer type question as classified in NCERT Exemplar
By applying Pythagoras theorem in given figure

2
x=
=1/2
= ½
=1/2
As Increase in is very small so we neglect it
=1/2
By using this value in above in equation
x=1/2 = ½ L
=
= 5
= 5
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