A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at `27^@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 ` = 1.70 xx 10^5 ^@C^-1`.

A steel tape 1 metre long is correctly calibrated for temperature of 27.0^@C . The length of a steel rod measured by this tape is found to be 63.0 cm on a h ot day when the temperature is 45^@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 C^-1 .

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

A large steel wheel is to be fitted on 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 ice'. At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel is to be constant over the required temperature range : alpha_(steel) = 1.20 xx 10^-5 K .

A brass rod of length 50 cm and diameter 3.00 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 coefficent of linear expansion of brass = 2.0 xx 10^-5 ^@C^-1 , steel = 1.2 xx 10^-5 ^@C^-1 ).

At room temperature (27.0^@ C) the resistance of a heating element is 100 Omega . What is the temperature of the element if the resistance is found to be 117 Omega , given that the temperature coefficient of the materials of the resistors is 1.70 xx 10^-4 ^@C^-1 ?

At room temperature (27.0 ^@C) the resistance of a heating element is 100Omega . What is the temperature of the element if the resistance is found to be 117Omega . given that the temperature coefficient of the material of the resistor is 1.70 xx 10^-4 ^@C^-1 .

A copper wire has diameter 0.5 mm and resistivity of 1.6xx10^(-8) How much dows the resistence change if the diameter is doubled?