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 linear expansion of brass = `2.0 XX 10^-5 K^-1` Young’s modulus of brass =` 0.91xx10^11` P

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 = 1.70 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 ? 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^-5K^-1 steel = 1.2 xx 10^-5 K^-1) .

A metal wire of linear mass density of 9.8 gm^-1 is stretched with a tension of 10kg wt between two rigid supports of 1 metre apart. If the wire is allowed to vibrate in its fundamental frequency, then find the frequency of vibration.

A steel tape 1m 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 wire 0.72m long has amss of 5.0 xx 10^3 kg . If the wire is under the tension of 60N, what is the speed of transverse wavs on the wire?

A steel wire of diammeter 2 mm is pulled to increase its length by 1% what is the restoring force developed in it if young's modulus for steel 2 *10^12 dynes/ cm ^2 .

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 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: a_ steel = 1.20 xx 10^-5K^-1 .

A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the same tension.

Calculate the amount of work done for a wire which area of cross section 10^-6m^2 and length 1.5m to increase the length 4 xx 10^-3 m. Young's modules of elasticity 2 xx 10^(11N//m^2) .

The co-efficient of line expansion brass is 2*10^-5°C^-1 , By how much the temperature of a brass rod be increased so as increase its length by 4%.