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A measuring tape amde of steel is calibr...

A measuring tape amde of steel is calibrated at `5^(@)C` . If the coefficient of linear expansion of steel `10^(-5)//^(@)C` . If the coefficinet of linear expansion of steel `10^(-5)//^(@)C` , the percent error in measurement at `40^(@)C` is

A

`0.035`

B

`0.07`

C

`0.105`

D

`0.14`

Text Solution

Verified by Experts

The correct Answer is:
A
True value=scale reading `[1+alphaDeltatheta]`
`(("true value")/("scale reading")-1)xx100=alphaDeltathetaxx100`
`=10^(5)(40-5)xx100`
`=0.035%`
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CP SINGH-TEMPERATURE AND THERMAL EXPANSION-EXERCISES
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  2. A steel scale measures the length of a copper wire as 80.0 cm when bot...

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  3. A measuring tape amde of steel is calibrated at 5^(@)C . If the coeffi...

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  4. Two indentical recrangular strips. One of copper and the other of stee...

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  5. If a bimetallic strip is heated it will

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  6. A steel sheet at 20^(@)C has the same surface area as a brass sheet at...

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  7. If the pemperature of a uniform fod is slifhely increased by Deltat it...

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  8. If the temperature of a uniform rod is slightly increased by Deltat, i...

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  9. When the temperature of a rod increases from t to r+Delta t, its momen...

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  10. The volume of a block of a metal changes by 012% when it is heated thr...

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  11. A horizontal tube, open at both ends, contains a column of liquid. The...

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  12. A liquid with coefficient of volume expansion gamma is filled in a con...

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  13. A flask is filled with mercury at temperature 28^(@)C . If the flask a...

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  14. A one litre flask contains some mercury. It is found that at different...

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  15. The coefficient of linear expansion of crystal in one direction is alp...

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  16. The real coefficient of volume expansion of glycerine is 0.000597per^(...

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  17. The coefficient of apparent expansion of a liquid is C when heated in ...

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  18. There are two sphers of same radius and material at the same temperatu...

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  19. In the previous problem, same heat is given to two sphere, which will ...

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  20. A solid metal ball has a spherical cavity. If the ball is heatd, the v...

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