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A steel tape 1 m long is correctly calib...

A steel tape 1 m long is correctly calibrated for a temperature of 27.0 `""^(@)C`. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 `""^(@)C`. What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is `27.0^(@)C`? Coefficient of linear expansion of steel `=1.20 times 10^(-5)K^(-1)`.

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The correct Answer is:
63.0136 cm, 63 cm
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A steel tape 1m long is correctly calibrated for a temperature of 27^@C . The length of a steel rod measured by this fape is found to be 63cm on a hot day when the temp. is 45^@C . What is the actual length of the steel rod on that day?

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A steel scale is error-less at 50^(@)F . Using the scale, the length of a brass rod is found to be 1.5 m at 50^(@)C . What is the true length of the rod at 100^(@)C ? (Coefficients of linear expansion of steel and brass are 11.2 times 10^(-6@)C^(-1) " and " 18 times 10^(-6@)C^(-1) respectively.)

A metre scale made of steel is to be so graduated that at any temperature a reding of 1 mm should be correct up to 0.0005 mm. What can be the maximum allowed change in temperature while marking the millimetre gaps? Coefficient of linear expansion of steel =13.22 times 10^(-6@)C^(-1).

A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C , if the original lengths are at 40.0^(@)C ? The ends of the rod are free to expand (coefficient of linear expansion of brass =2.0 times 10^(-5)K^(-1) , steel =1.2 times 10^(-5)K^(-1) ).

CHHAYA PUBLICATION-EXPANSION OF SOLIDS AND LIQUIDS-EXERCISE - PROBLEM SET - I
  1. If the temperature of a rod of length 2 m is increased by 100^(@)C, wh...

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  2. When the temperature of a 3 m long iron rod is increased from 0^(@)C t...

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  3. Due to rise in temperature of a brass rod by 100^(@)C, its length incr...

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  4. The lengths of an iron and a zinc rod at 0^(@)C are 25.55 cm and 25.5 ...

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  5. The length of the steel structure of a bridge is 0.5 km and it has to ...

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  6. A steel tape 1 m long is correctly calibrated for a temperature of 27....

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  7. An iron sphere is to be passed through a circular brass ring. At 20^(@...

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  8. Diameter of a brass disc at 30^(@)C is 10 cm. What will be the increas...

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  9. Prove that, the expansion of volume V of a solid due to a rise Deltat ...

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  10. Densities of glass at 10^(@)C and 60^(@)C are 2.6g*cm^(-3) " and " 2.5...

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  11. A square metal plate of side 100 cm at 0^(@)C, has a circular hole of ...

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  12. The coefficient of apparent expansion of a liquid in a brass vessel is...

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  13. Volume of the bulb of a thermometer is 1 cm^3. Each degree division of...

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  14. The bulb and the stem of a mercury-in-glass thermometer contains 1 cm^...

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  15. Masses of 10cm^(3) of water at 0^(@)C and 4^(@)C are 9.998 g and 10 g ...

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  16. A capilllary glass tube of uniform bore contains a thread of mercury 1...

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  17. A closed glass bulb contains some mercury. Volumes of the empty space ...

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