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Two wires with equal extension: ratio of Young's moduli or of lengths

This type of question, asked 3 times: 31 Jan 2023, 28 Jan 2026 S1, 6 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    31 Jan 2023

    108
    Under the same load, wire A having length 5.0 m5.0\text{ }m and cross section 2.5×10−5 m22.5 \times10^{- 5}{\text{ }m}^{2} stretches uniformly by the same amount as another wire B of length 6.0 m6.0\text{ }m and a cross section of 3.0×10−5 m23.0 \times10^{- 5}{\text{ }m}^{2} stretches. The ratio of the Young's modulus of wire A to that of wire BB will be:

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  2. Question 2

    28 Jan 2026 S1

    14
    Two wires AA and BB made of different materials of length 6.0 cm and 5.4 cm , respectively and area of cross sections 3.0×10−5 m23.0 \times10^{- 5}{\text{ }m}^{2} and 4.5×10−5 m24.5 \times10^{- 5}{\text{ }m}^{2}, respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of AA to that of BB is x:3x:3. The value of xx is ____\_\_\_\_.

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  3. Question 3

    6 Apr 2026 S1

    9
    The two wires A and B of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire A and wire B is 20/11. When the joined wire is kept under certain tension the elongations in the wires A and B are equal. If the length of wire A is 2.2 m , then the length of wire BB is ____\_\_\_\_ m.

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