A steel rod when measured with a zinc scale `(alpha = 26 xx 10^(-6)//^@C)` appears to be 1 m long when both rods are at `20^@C` . If the zinc scale was graduated at `0^@C` , what is the true length of the steel rod at `0^@C` ? `alpha` for steel = `12 xx 10^(-6)//^@C` .

A metal scale is graduated at 0^@C . What would be the true length of an object which when measured with this scale at 25^@C , reads 50 cm? alpha for metal = 18 xx 10^(-6)//^@C .

A brass scale is correct at 20^@C . The length of a rod measured by it at 35^@C is 60 cm . What is the correct length of rod at that temperature ? ( alpha of brass = 18.9 xx 10^(-6) per^@C) .

A steel tyre is 1 m in diameter at 10^@C . To what temperature it must be raised so that it may just slip on a wheel 1.005 m in diameter ? alpha for steel = 12 xx 10^(-6)//^@C .

A glass rod when rubbed with silk cloth acquires a charge 1.6 xx 10 ^(-13) c. What is the charge on the silk cloth?

An iron plate has a circular hole of diameter 10 cm . Find the diameter of the hole when the plate is uniformly heated from 10^@C to 90^@C (alpha = 12 xx 10^(-6)//^@C) .

Define co-efficient of linear and cubical expansion and establish a relation between them . The length of a copper wire is measured 40 cm by a metal scale when both are at the temperature of 25^@C . What would be the length of wire measured by the same scale when both are at 55^@C ? (alpha "for metal" = 1.1 xx 10^(-7) @C^(-1) and alpha for copper = 1.7 xx 10^(-7)@c^(-1))

A metal rod of length 50cm at 20^@C is heated to 95^@C . It's length becomes 50.06cm.Find the coefficient of linear expansion and length of the rod at 0^@C .