A steel tyre of 1.2 m inner diameter at `20^@C` is to be fitted on a cartwheel of 120.33 cm diameter of the tyre. Calculate the temperature to which the steel tyre is to be raised so that it will just slip on the wheel.`(alpha_(Steel) = 11 xx 10^-6//^@C)`

A steel tyre is 100 cm in diameter at 25^@C . To what temperature must it be heated so that it will just slip on a cartwheel 100.3 cm in diameter? (alpha_(steel)=1.2 xx 10^-5//^@C )

A metal sphere 10.01 cm in diameter is placed on a brass ring of internal diameter 10 cm and at the same temperature of 10^@C . The temperature up to which they should be heated together so that the metal sphere just passes through the ring is [alpha_(me ta l)= 12 xx 10^-6/@C and alpha_brass= 18 xx 10^-6/@C]

A steel wire 2 mm in diameter is just stretched between two fixed points at a temperature of 20^(@)C. If the temperature falls to 10^(@)C, then the tension in the wire is (The coefficient of linear expansion of steel = 11xx10^(-6)//^(@)C and Y for steel 2.1 xx10^(11)N//m^(2))

Railway tracks are laid with gaps for expansion. The gap between the steel rails 20 m long is 1.2 cm at 10^@C . The temperature at which the steel rails just touch each other is ( prop steel = 12 xx 10^-6//^@C)

A metre scale made of steel reads accurately at 25^@C . Suppose in an experiment an accuracy of 0.06 mm in 1 m is required, the range of temperature in which the experiment can be performed with this metre scale is (coefficient of linear expansion of stoel is 11 xx 10^-6/(@C) )

An iron tyre is to be fitted onto a wooden wheel 1 m in diameter. The diameter of tyre is 6 mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 xx 10^-5/^@C)

Railway lines are laid with gaps to allow for expansion. If each line is 10 m long at 20^@C , what should be the length of the gap to be kept between two rails to allow for expansion if the maximum temperature that can be reached is 50^@C ? (alpha_(steel)=1.2 xx 10^-6//^@C)

Railway lines are laid with the gaps to allow for expansion. The gap between two lines is 0.5 cm at 10 °C. If the length of a line is 12 m then temperature at which the lines just touch each other is [alpha = 11 x 1O'6/ °C]

A metal rod having a coefficient of linear expansion of 2 xx 10^-5 /^@C has a length of 100 cm at 20^@C . The temperature at which it is shortened by 1 mm is