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The following four wires are made of the...

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

A

Length `= 50 cm`, diameter `= 0.5 mm`

B

Length `100 cm`, diameter `=1`

C

Length `= 200 cm`, diameter `= 2 mm`

D

Length `= 300 cm`, diameter `= 3 mm`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y=(T//A)/(/_\l//l)`
`/_\l=(Txxl)/(AxxY)=T/Yxxl/A`
Here `T/Y` is constant
Therefore `/_\lpropl//A`. As result `l//A` is larges in the first case.
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Knowledge Check

  • The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

    A
    Length `= 50 cm`, diameter `=0.5 mm`
    B
    Length `= 100 cm`, diameter `=1mm`
    C
    Length `= 200 cm`, diameter `= 2mm`
    D
    Length `= 300 cm`, diameter `= 3mm`

  • The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied?

    A
    L = 100 cm, r = 0.2 cm
    B
    L = 200 cm, r = 0.4 cm
    C
    L = 300 cm, r = 0.6 cm
    D
    L = 400 cm, r = 0.8 cm

  • The following four wires of length L and radius 'r' are made of the same material which of these will have largest extension ?

    A
    L = 40 cm, r = 0.02 mm
    B
    L = 100 cm, r = 0.5 mm
    C
    L = 200 cm, r = 1 mm
    D
    L = 300 cm, r = 1.5 mm