The speed of a transverse wave passing through a string of length 50 ~cm and mass 10 ~g is 60 ~ms⁻¹. The area of cross-section of the wire is 2.0 ~mm² and its Young's modulus is 1.2 × 10¹¹ Nm⁻². The extension of the wire over its natural length due to its tension will be x × 10⁻⁵ ~m. The value of x is _ _ _ _ _.

Properties of Solids and Liquids: JEE Main 2022 Physics question

JEE Main 2022 · 29 Jul, Evening shift · Q68

JEE Main 202229 Jul, Evening shiftPhysicsHardProperties of Solids and Liquids184× since 2002

The speed of a transverse wave passing through a string of length

50 \mathrm{~cm}

and mass

10 \mathrm{~g}

60 \mathrm{~ms}^{-1}

. The area of cross-section of the wire is

2.0 \mathrm{~mm}^{2}

and its Young's modulus is

1.2 \times 10^{11} \mathrm{Nm}^{-2}

. The extension of the wire over its natural length due to its tension will be

x \times 10^{-5} \mathrm{~m}

. The value of

x

is __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Properties of Solids and Liquids Question with Answer (29 Jul Evening shift, Q68) | JEE Arc