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A brass rod of length 50 cm and diameter...

A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at `250^(@)C`, if the original lengths are at `40.0^(@)C`? Is there a 'thermal stress' developed at the junction ? The ends of the rod are free to expand. Coefficient of linear expansion of brass `= 2.0 xx 10^(-5).^(@)C^(-1)` and that of steel `=1.2 xx 10^(-5).^(@)C^(-1)`.

Answer

Step by step text solution for A brass rod of length 50 cm and diameter 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C, if the original lengths are at 40.0^(@)C? Is there a 'thermal stress' developed at the junction ? The ends of the rod are free to expand. Coefficient of linear expansion of brass = 2.0 xx 10^(-5).^(@)C^(-1) and that of steel =1.2 xx 10^(-5).^(@)C^(-1). by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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A brass rod length 50 cm and diamteer 3.0 mm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C if the original length are at 40^(@)C ? Coefficient of linear expansion of brass and steel are 2.10xx10^(-5) .^@C^(-1) and 1.2 xx 10^(-5) ^(@)C^(-1) respectively.

At 40^(@)C , a brass rod has a length 50 cm and a diameter 3.0 mm. it is joined to a steel rod of the same length and diameter at the same temperature. What is the change in the length of the composite rod when it is heated to 240^(@)C ? The coefficient of liear expansion of brass and steel are 2.0xx10^(-5).^(@)C^(-1) and 1.2xx10^(-5).^(@)C^(-1) respectively:

Knowledge Check

  • A brass rod of length 50 cm and diameter 3.0 cm is joined to a steel rod of the same length and diameter. What is the change in length of the combined rod at 250^(@)C , if the original length are at 40.0^(@)C ? (Coefficient of linear expansion of brass =2.0 xx 10^(-5)//^(@)C, steel = 1.2 xx 10^(-5)//^(@)C

    A
    `0.27 cm`
    B
    `0.34 cm`
    C
    `0.21 cm`
    D
    `0.18 cm`

  • 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
    `0.28` cm
    B
    `0.30` cm
    C
    `0.32` cm
    D
    `0.34` cm

  • A rod of 2 cm diameter and 30 cm length is converted into a wire of 3 m length of uniform thickness. The diameter of the wire is

    A
    `2//10 cm `
    B
    `21//10 cm `
    C
    `11//10 cm `
    D
    `1//10 cm `

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