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A steel wire of diameter 1 mm and length...

A steel wire of diameter 1 mm and length 2 m is stretched by a force of 2kg .wt , what is the increase in the length of wire ? `(Y = 2 xx 10^11 N/m^2,g = 9.8m/s^2)`

A

a)`25 xx 10^(-5)m`

B

b)`2.5 xx 10^(-5) cm`

C

c)`2.5 xx 10^(-5) m`

D

d)`25 xx 10^(-5) cm`

Text Solution

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The correct Answer is:
A
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A copper wire 2 m long and having a diameter of 2mm is suspended from a rigid support . The wire is stretched by a load of 5 kg . Find the work done in stretching the wire and the strain energy per unit of its volume. Y = 12 xx 10^10 N/m^2 and g= 9.8 m/s^2 .

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Knowledge Check

  • What mass must by suspended from free end of steel wire of length 2m and diameter 1 mm to stretch it by 1 mm ? (Y = 2 xx 10^11 N/m^2,g = 9.8m/s^2)

    A
    a)5kg
    B
    b)7kg
    C
    c)8kg
    D
    d)6kg

  • A steel wire of length 1 m and diameter 0.2mm is elongated by 1mm due to a weight of 3.14kg. The Young's modulus of steel wire is

    A
    a)`9.8 xx 10^9 N/m^2`
    B
    b)`9.8 xx 10^10 N/m^2`
    C
    c)`9.8 xx 10^11 N/m^2`
    D
    d)`9.8 xx 10^12 N/m^2`

  • How much will a steel wire 2m long and 1mm diameter stretch under a 5 kg wt. load ? (Y = 2 xx 10^11 N/m^2)

    A
    a)`62.42 xx 10^(-7) m`
    B
    b)`62.42 xx 10^(-6) m`
    C
    c)`62.42 xx 10^(-5) m`
    D
    d)`62.42 xx 10^(-4) m`

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    A certain force F increase the length of a given wire by 1mm. What force is required to increase its length by 2mm?

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