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A square metal plate of side 100 cm at 0...

A square metal plate of side 100 cm at `0^(@)C`, has a circular hole of diameter 40 cm in the middle of it. At what temperature, will each side by 101 cm long? What will be the diameter of the hole at that temperature? `alpha` for the metal `=12.5 times 10^(-6@)C^(-1)`

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The correct Answer is:
`800^(@)C`, 40.4 cm
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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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