A metal and is heated till its length becomes twice of its original length. If coefficient of linear exansion of the material of the rod is `alpha`, then what is the change in temperature?

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 metal bar of length L area of cross section A, Young's modulus Y and coefficient of linear expansion a is clamped between two stout pillars. What is the force exerted by the bar when it is heated through t ^@C ?

If a thin lens is dipped in water, does its focal length change?

A wire of one ohm resistance is stretched to three times its original length. Calculate the new resistance if the new radius is one-third the original radius.

The co-efficient of volumn expansion of a liquid is 49*10-5 C^-1 ,By what percentage does its density change on raising the temperature by 50°C?

If the tension of the wire is increased four times and its length reduced to half the original length the frequency of vibration

If a concave mirror is held in water, will its focal length change as compared to its value in air?

The pressure of a gas is halved at constant temperature.What will be the change in its volume?