The Young's modulus of a steel wire of length 6 ~m and cross-sectional area 3 ~mm², is 2 × 10¹¹~N / m². The wire is suspended from its support on a given planet. A block of mass 4 ~kg is attached to the free end of the wire. The acceleration due to gravity on the planet is 1/4 of its value on the earth. The elongation of wire is (Take g on the earth =10 ~m / s²):

Properties of Solids and Liquids: JEE Main 2023 Physics question

JEE Main 2023 · 1 Feb, Evening shift · Q7953

JEE Main 20231 Feb, Evening shiftPhysicsHardProperties of Solids and Liquids184× since 2002

The Young's modulus of a steel wire of length

6 \mathrm{~m}

and cross-sectional area

3 \mathrm{~mm}^{2}

, is

2 \times 10^{11}~\mathrm{N} / \mathrm{m}^{2}

. The wire is suspended from its support on a given planet. A block of mass

4 \mathrm{~kg}

is attached to the free end of the wire. The acceleration due to gravity on the planet is

\frac{1}{4}

of its value on the earth. The elongation of wire is (Take

g

on the earth

=10 \mathrm{~m} / \mathrm{s}^{2}

) :

JEE Main 2023 Properties of Solids and Liquids Question with Solution (1 Feb Evening shift, Q7953) | JEE Arc