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 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 brass sheet has a circular hole of diameter 3 cm at 30°C .What will be the change in diameter of the hole when it is heated to 120°C ?Given alpha_brass= 2 *10^ -5°C^-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 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 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 .

If a copper wire is stretched to make 0.1% longer, what is the P.C. change in its resistance?

The coefficient of volume expansion of glycerin is 49 XX 10^-5 K^-1 What is the fractional change in its density for a 30 ^@C rise, in temperature?

The length of a cube is 10^@C is 10 cm. If temperature is increased to 30^@C what is the change in volume. (alpha = 7.2 xx 10^-5l^0C) .

The focal lenghts of objectives and eyepiece of a telescope are 200cm and 10 cm respectively. Is is used to get an image of the Sun on a screen placed 40cm behind the eyepiece. The diameter of the image is 6cm. What is the diameter of the Sun? Give the distance from earth to the Sun is 1.5xx10^(11)m .