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A aluminium can of cylindrical shape con...

A aluminium can of cylindrical shape contains `500cm^3` of water. The area of the inner cross section of the can is `125cm^2`. All measurements refer ti `10^@C`. Find the rise in the water level if the temperature increases to`80^@C`. The coefficient of linear expansion of aluminium `=23 xx 10^(-6 @ )C(-1)` respectively.

Text Solution

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`0.076 cm`
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A aluminium can of cylindrical shape contains 500cm^3 of water. The area of the inner cross section of the can is 125cm^2 . All measurements refer to 10^@ C . Find the rise in the water level if the temperature increases to 80^@ C . The coefficient of linear expansion of aluminium = 23 xx 10^-6@ C^-1 and the average coefficient of volume expansion of water = 3.2 xx 10^-4@ C^-1 respectively

An iron sphere has a radius 8 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if is temperature is raised to 80^(@)C . Coefficient of liner expansion of iron =11xx10^(-6) .^(@)C^(-1) .

Knowledge Check

  • An iron bar 10 cm in length is kept at 20^@C . If the coefficient of linear expansion of iron is alpha = 11 xx 10^(-6).^(@)C^(-1) , then at 19^(@)C it will be

    A
    `11 xx 10^(-6)cm` longer
    B
    `11 xx 10^(-6)cm` shorter
    C
    `11 xx 10^(-5)cm` shorter
    D
    `11 xx 10^(-5)cm` longer

    • Similar Questions

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    A circular hole in an aluminium plate is 2.50cm at 0^(@)C . What is its diameter when it temperature is raised to 100^(@)C ? (The linear expansivity of aluminium =23xx10^(-6)K^(-1))

    An iron sphere of radius 10 cm is at temperature , 10^(@)C . If the sphere is heated upto temperature 110^(@)C , find the change in the volume of the sphere coefficient of linear expansion of iron = 11 xx 10^(-6) .^(@)C^(-1)

    An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in the volume of the sphere, if it is heated to 100^(@)C . Coefficient of linear expansion of iron = 11 xx 10^(-6).^(@)C^(-1) .

    Find the ratio of the lengths of an iron rod and an aluminium rod for which the difference in the lengths in independent of temperature. Coefficients of linear expansion of iron and aluminium are 12 xx10^(-6) 0^C^(-1) and 23 xx 10^(-6) 0^C(-1) respectively.

    A copper bar is 80 cm long at 15^(@)C . What is the increase in length, when heated to 35^(@)C ? The coefficient of linear expansion for copper is 1.7 xx 10^(-5).^(@)C^(-1)

    An iron rod of length 50cm is joined at an end to an aluminium rod of length 100cm . All measurements refer to 20^(@)C . Find the length of the composite system at 100^(@)C and its average coefficient of linear expansion. The coefficient of linear expansion of iron and aluminium are 12xx10^(-6)//^(@)C and 24xx10^(-6)//^(@)C respectively.

    A circular hole in an aluminium plate has a diameter of 4cm at 0^(@)C . What is its diameter when the temperature of the plate is raised to 100^(@)C ? (Linear expansivity of aluminium =23xx10^(-6)K^(-1) )

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