The length of a brass rod is found to be smaller on a hot summer day that on a cold winter day as measured by the same aluminium scale. Do we conclude that brass shrinks on heating.

A steel tape 1m long is correctly calibrated for a temperature of 27^(@)C . The length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0^(@)C . What is the acutual 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) .^(@)C^(-1) .

At room temperature ( 25^@C ) the length of a steel rod is measured using a brass centimetre scale. The measured length is 20 cm. If the scale is calibrated to read accurately at temperature 0^@C , find the actual length of steel rod at room temperature.

At 50^(@)C , a brass rod has a length 50 cm and a diameter 2 mm . It is joined to a steel rod of the same length and diameter at the same temperature . The change in the length of the composite rod when it is heated to 250^(@)C is (Coefficient of linear expansion of brass = 2.0 xx 10^(-5)"^(@) C^(-1) , coefficient of linear expansion of steel = 1.2 xx 10^(-5) "^(@) C^(-1) )

A meter scale is made up of steel and measures correct length at 16^@C . What will be the percentage error if this scale is used (a) on a summer day when the temperature is 46^@C and (b) on a winter day when the temperature is 6^@C ? Coefficient of linear expansion of steel =11 xx 10^(-6)C^(-1) .

Two unifrom brass rod A and B of length l and 2l and radii 2r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is

In a vernier callipers the main scale and the vernier scale are made up different materials. When the room temperature increases by DeltaT^(@)C , it is found the reading of the instrument remains the same. Earlier it was observed that the front edge of the wooden rod placed for measurement crossed the N^(th) main scale division and N + 2 MSD coincided with the 2nd VSD. Initially, 10 VSD coincided with 9MSD. If coefficient of linear expansion of the main scale is alpha_(1) and that of the vernier scale is alpha_(2) then what is the value of alpha_(1)//alpha_(2) ? (Ignore the expansion of the rod on heating)

On a cold winter day, the atmospheric temperature is -theta (on celsius scale) which is below 0^(@)C . A cylindrical drum of height h made of a bad conductor is completely filled with water at 0^(@)C and is kept outside without any lid. Calculate the time taken for the whole mass of water to freeze. Thermal conductivity of ice is K and its latent heat of fusion is L . Neglect expansion of water on freezing.