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A hole is drilled in a copper sheet. The...

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at `27.0^(@)C`. What is the change in the diameter of the hole when the sheet is heated to `227^(@)C` ? Coefficient of linear expansion of copper `=1.70xx10^(-5)K^(-1)`.

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For answer see Section - B Textual Exercise Q. no. 11.8
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A hole is drilled in a copper sheet. The diameter of the hole is 4.24 " cm at " 27.0 ^(@) C . What is the change in the diameter of the hole when the sheet is heated to 227^(@) C ? Coefficient of Imear expansion of copper = 1.70 xx 10^(-5) K^(-1) .

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 =1.20xx10^(-5)K^(-1) .

A steel tape Im 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 xx 10^(-5) K^(-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 ? there a 'thermal stress' developed at the junction ? The ends of the rod are free to expand (Coefficient of linear expansion of brass =2.0xx10^(-5)K^(-1)," steel "=1.2xx10^(-5)K^(-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 ? Is there a "thermal stress developed at the junction ? The ends of the rod are free to expand (Co-efficient of linear expansion of brass = 2.0 xx 10^(-5) K^(-1) , " steel " = 1.2 xx 10^(-5) K^(-1)) .

At what temperature will the resistannce of a copper wire become three times its value at 0^(@)C (Temperature coefficient of resistance for copper =4xx10^(-3)"per".^(@)C :-

A brass wire 1.8 m long at 27 ^(@) C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of - 39 ^(@) C . what is the tension developed in the wire, if its diameter is 2.0 mm ? Co-efficient of tear expansion of brass = 2.0 xx 10^(-5) K^(-1) , Young's modulus of brass = 0.91 xx 10^(11) Pa.

A large steel wheel is to be fitted on to a shaft of the same material. At 27^(@)C , the outer diameter of the shaft is 0.70 cm and the diameter of the central hole in the wheel is 8.69 cm. The shaft is cooled using 'dry ice'. At what temperature of the shaft does the wheel slip on the shaft ? Assume coefficient of linear expansion of the steel to be constant over the required temperature range : alpha_("steel")=1.20xx10^(-5)K^(-1) .

A copper wire is held at the two ends by rigid supports. At 30^(@)C , the wire is just taut, with negligible tension. Find the speed of transverse waves in this wire at 10^(@)C . Given : Young modulus of copper = 1.3 xx 10^(11) N//m^(2) . Coefficient of linear expansion of copper = 1.7 xx 10^(-5) .^(@)C^(-1) . Density of copper = 9 xx 10^(3) kg //m^(3) .

A large steel wheel is to be fitted on to a shaft of the same material. At 27 ^(@) C , the outer diameter of the shaft is 8.70 cm and the diameter of the central hole in the wheel is 8.69 cm. The shaft is cooled using dry Icel. At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel to be constant over the required temperature range: alpha_("steel ") = 1.20 xx 10^(-5) K^(-1) .

KUMAR PRAKASHAN-THERMAL PROPERTIES OF MATTER-Question Paper (Section - C) Do as directed : (Word limit of answer is 10) (Each carry 3 mark)
  1. A hole is drilled in a copper sheet. The diameter of the hole is 4.24 ...

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  2. A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel r...

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