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A steet wire of length 4.7 m and cross -...

A steet wire of length 4.7 m and cross - sectional area `3.0xx10^(-5)m^(2)` stretches by the same amount as a copper wire of length 3.5 m and cross- sectional area of `4.0xx10^(-5)m^(2)` under a given load. What is the ratio of the Young's modulus of steel to that of copper ?

Text Solution

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The correct Answer is:
1.8
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A steel wire of length 4.7 m and cross-sectional area 3.0xx10^(-5)m^(-2) stretched by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0xx10^(-5)m^(2) .

A steel wire of length 4.6 m and cross section 3 xx 10^(5)m^(2) stretches by the same amount as a copper wire of length 4.0 m and cross section 4.0 xx 10^(-5) m^(2) under the same load. Find the ratio of the Young.s modulus of steel to that of copper

Knowledge Check

  • A steel wire of length 4.7 m and cross sectional area 3xx10^(-5)m^(2) stretches by the same amount as a copper wire of length 3.5m and cross-sectional area of 4xx10^(-5)m^(2) under a given load. Then the ratio of the Young.s modulus of steel to that of copper

    A
    1.8
    B
    0.9
    C
    3.6
    D
    0.45

  • A steel wire of length 1.5 m and area of cross section 1.5mm^2 is stretched by 1.5cm. Then the work done per unit volume.

    A
    `1 xx 10^7 J//m^3`
    B
    `2 xx 10^7 J//m^3`
    C
    `3 xx 10^7 J//m^3`
    D
    `4 xx 10^7 J//m^3`

  • A wire of length .L. and cross sectional area .A. is made up of a material of young.s modulus .Y.. If the wire is stretched by .X. the work done is

    A
    `(YAX)/(L)`
    B
    `(YAX^(2))/(2)`
    C
    `YAX^(2)`
    D
    `(YAX^(2))/(2L)`

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    A steel wire of length 80 cm and of area of cross section 1.5 mm^(2) is stretched. Find the work done in increasing its length from 80.2 cm to 80.3 cm. (Y=2.0xx10^(11)Nm^(-2))

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