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Strain in two wires holding blocks one below the other

This type of question, asked 2 times: 1 Feb 2024, 4 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    1 Feb 2024

    114
    One end of a metal wire is fixed to a ceiling and a load of 2 kg2\text{ }kg hangs from the other end. A similar wire is attached to the bottom of the load and another load of 1 kg1\text{ }kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire to that of the lower wire will be ______ . [Area of cross section of wire =0.005 cm2= 0.005{\text{ }cm}^{2}, Y=2×1011Nm−2Y = 2 \times10^{11}Nm^{- 2} and  g=10 ms−2]\left. \ g = 10{\text{ }ms}^{- 2} \right\rbrack

  2. Question 2

    4 Apr 2026 S2

    6
    A metal string A is suspended from a rigid support and its free end is attached to a block of mass M. Second block having mass 2 M is suspended at the bottom of the first block using a string B . The area of cross sections of strings A and B are same. The ratio of lengths of strings of AA to BB is 2 and the ratio of their Young's moduli (YA/YB)\left( Y_{A}/Y_{B} \right) is 0.5 . The ratio of elongations in A to B is ____\_\_\_\_ .

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