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Extension of the same wire on another planet with a different g

This type of question, asked 2 times: 26 Jun 2022, 1 Feb 2023. All 2 questions below, oldest first.

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  1. Question 1

    26 Jun 2022

    24
    The elongation of a wire on the surface of the earth is 10−4 m10^{- 4}\text{ }m. The same wire of same dimensions is elongated by 6×10−5 m6 \times10^{- 5}\text{ }m on another planet. The acceleration due to gravity on the planet will be ____ ms−2\_\_\_\_\ ms^{- 2}. (Take acceleration due to gravity on the surface of earth =10 m/s2= 10\text{ }m/s^{2} )

  2. Question 2

    1 Feb 2023

    102
    The Young's modulus of a steel wire of length 6 m6\text{ }m and cross-sectional area 3 mm23{\text{ }mm}^{2}, is 2×1011 N/m22 \times10^{11}\text{ }N/m^{2}. The wire is suspended from its support on a given planet. A block of mass 4 kg4\text{ }kg is attached to the free end of the wire. The acceleration due to gravity on the planet is 14\frac{1}{4} of its value on the earth. The elongation of wire is (Take gg on the earth =10 m/s2= 10\text{ }m/s^{2} ):

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