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A circular hole in an aluminium plat e i...

A circular hole in an aluminium plat e is `2.54xx10^(-2)`m in diamter at `0^(@)C`, its diameter when the temperature of the plate is raised to `100^(@)C` will be? `(alpha=2.55xx10^(-5)//.^(@)C)`

A

`2.50xx10^(-2)m`

B

`2.546xx10^(-2)m`

C

`4.5xx10^(-2)m`

D

`2.45xx10^(-2)m`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The coefficient of linear expansion of aluminium is 23xx10^(-6)//""^@C . A circular hole in an aluminium plate 2.725 is cm in diameter at 0^@C .What is the diameter of the hole if the temperature of the plate is raised to 100^@C ?

    A
    0.0063 cm
    B
    2.728 cm
    C
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    D
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  • A glass flask of volume 200cm^(3) is just filled with mercury at 20^(@)C . The amount of mercury that will overflow when the temperature of the system is raised to 100^(@)C is (gamma_(glass)=1.2xx10^(-5)//C^(@),gamma_(mercury)=1.8xx10^(-4)//C^(@))

    A
    2.15 `cm^(3)`
    B
    2.69 `cm^(3)`
    C
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    D
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  • Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1), Y_("steel") = 200GNm^(-2) )

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    B
    `3.2 xx 10^(8) Nm^(-2)`
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