A cylinder of diameter exactly 1 cm at `30^@C` is to be slided into a hole in a steel plate. The hole has a diameter of 0.99970 cm at `30^@C`. To what temperature must the plate be heated? For steel `alpha = 1.1 xx 10^-5 ^@C^-1`

A wire has a resistance of 3.1 Omega at 30^@C and a resistance of 4.5 Omega at 100^@C . The temperature coefficient of the wire is equal to

A wire has a resistance of 3.1Omega at 30^@C and a resistance of 4.5Omega at 100^@C . The temperature coefficient of the wire is equal to

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 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 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 .

The parallel plates of an air filled capacitor are1.0 mm apart. What must be the area of plates if the capacity is to be 1.0 F ?

The parallel plates of an air filled capacitor are1.0 mmapart. What must be the area of plates if the capacity is to be 1.OF ?

Find the height of the cylinder whose volume is 1.54 m^3 and diameter of the base is 140 cm ?

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 .

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 ?