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A railway track (made of iron) is laid i...

A railway track (made of iron) is laid in winter when the average temperature is `18^(@)C`. The track consists of sections of `12 m` placed one after the other. How much gap should be left between two such sections so that there in no compression during summer when the maximum temperature goes to `48^(@)C`? Coefficient of linear expansion of iron `= 11 xx 10^(-5)C^(-1)`.

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`L_0=12m` alpha =11xx10^-6/^0C`
`t _w= 18^0C` t_s=48^0C`
`L_w= L_0(1+alpha Delta t_w)`
` =12(1+11xx 10^-6xx 18)`
`=12.006336m`
`:. Delta L= 12.006336-12.002376`
`=0.00396m ~~0.4cm `
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HC VERMA-HEAT AND TEMPERATURE-Exercise
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  2. A meter scale made of steel is calibrated at 20^@C to give correct rea...

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  3. A railway track (made of iron) is laid in winter when the average temp...

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  4. A circular hole of diameter 2.00 cm is made in an aluminum are at 0^@C...

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  5. Two meter scales, one of steel and the other of aluminum, agree at 20^...

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  6. A meter scale is made up of steel and measures correct length at 16^@C...

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  7. A meter scale is made of steel reads accurately at 20^@C. In a sensiti...

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  8. The density of water at 0^@C is 0.998 g cm^(-3) at 4^@C is 1.00 g cm^...

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  9. Find the ratio of the lengths of an iron rod and an aluminum rod for w...

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  10. A pendulum clock gives correct time at 20^@Cat a place where g=9.800 m...

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  11. An aluminum plate fixed in a horizontal position has a hole of diamet...

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  12. A glass window is to be fit in an aluminum frame. The temperature on t...

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  13. The volume of a glass vessel is 1000 cc at 20^@C. What volume of mercu...

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  14. A aluminum can of cylindrical shape contains 500cm^3 of water. The are...

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  15. A glass vessel measures exactly 10cm xx 10 cm xx 10 cm at 0^@C. It is ...

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  16. The densities of wood and benzene at 0^@C are 880 kg m^(-3) and 900 kg...

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  17. A steel rod of length 1 m rests on a smooth horizontal base. If it is ...

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  18. A steel rod is clamped at its two ends and rests on a fixed horizontal...

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  19. A steel wire of cross-sectional area 0.5mm^2 is held between two fixed...

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  20. A steel rod is rigidly clamped at its two ends. The rod is under zero ...

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