A steel ball of `50mm` radius is kept on a hole of concrete. The diameter of the hole is `0.05mm` less then the diameter of the steel ball at `20^(@)C`. Coefficient of volume expansion of the steel ball is `3.2x 10^(-6)//^(@)C` . At what temperature the ball will be inside the hole ?

If a cylinder of diameter of 1 cm at 30^@C is fitted into a hole of diameter 0.9997 cm in a steel plate, find the temperature the fitting has to be done ? Co.eff.of linear expansion of steal is 12 xx 10^(-6)//^@ C

The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball is

A brass disc at a 20^@C has a diameter of 30 cm and a hole cut in the centre is 10 cm in diameter. Calculate the diameter of the hole when temperature of the disc is raised to 50^@C . The coefficient of linear expansion of brass= 0.000018 per^@C .

If a cylinder of diameter 1.0cm at 30°c is to be slide into a hole of diameter 0.9997 cm in a steel plate at the same temperature, then minimum required rise in the temperature of the plate is [coefficient of linear expansion of steel = 12 xx 10^(-6) //^(@) C ]

If a cylinder of diameter 1.0cm at 30^(@)C is to be slid into a hole of diameter 0.9997 cm in a steel plate at the same temperature, the minimum required rise in the temperature of the plate is: (Coefficient of linear expansion of steel = 12 xx 10^(-6//@)C )

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) )

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 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 0.70 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 : alpha_("steel")=1.20xx10^(-5)K^(-1) .

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 Icel. 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: alpha_("steel ") = 1.20 xx 10^(-5) K^(-1) .