A wire of density 8 × 10³ ~kg / m³ is stretched between two clamps 0.5 ~m apart. The extension developed in the wire is 3.2 × 10⁻⁴ ~m. If Y=8 × 10¹⁰ ~N / m², the fundamental frequency of vibration in the wire will be _ _ _ _ _ H z.

Properties of Solids and Liquids: JEE Main 2023 Physics question

JEE Main 2023 · 11 Apr, Evening shift · Q70

JEE Main 202311 Apr, Evening shiftPhysicsMediumProperties of Solids and Liquids184× since 2002

A wire of density

8 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}

is stretched between two clamps

0.5 \mathrm{~m}

apart. The extension developed in the wire is

3.2 \times 10^{-4} \mathrm{~m}

. If

Y=8 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}

, the fundamental frequency of vibration in the wire will be ___________

\mathrm{Hz}

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Properties of Solids and Liquids Question with Answer (11 Apr Evening shift, Q70) | JEE Arc