In an experiment to determine the Young's modulus of wire of a length exactly 1 ~m, the extension in the length of the wire is measured as 0.4 ~mm with an uncertainty of ± 0.02 ~mm when a load of 1 ~kg is applied. The diameter of the wire is measured as 0.4 ~mm with an uncertainty of ± 0.01 ~mm. The error in the measurement of Young's modulus (Δ Y) is found to be x × 10¹⁰ Nm⁻². The value of x is _ _ _ _ _ _ _ _ _. (. take g=10 ~ms⁻²)

Properties of Solids and Liquids: JEE Main 2022 Physics question

JEE Main 2022 · 26 Jul, Morning shift · Q66

JEE Main 202226 Jul, Morning shiftPhysicsHardProperties of Solids and Liquids184× since 2002

In an experiment to determine the Young's modulus of wire of a length exactly

1 \mathrm{~m}

, the extension in the length of the wire is measured as

0.4 \mathrm{~mm}

with an uncertainty of

\pm\, 0.02 \mathrm{~mm}

when a load of

1 \mathrm{~kg}

is applied. The diameter of the wire is measured as

0.4 \mathrm{~mm}

with an uncertainty of

\pm \,0.01 \mathrm{~mm}

. The error in the measurement of Young's modulus

(\Delta \mathrm{Y})

is found to be

x \times 10^{10}\, \mathrm{Nm}^{-2}

. The value of

x

is _________________.

\left(\right.

take

\mathrm{g}=10 \mathrm{~ms}^{-2}

)

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Properties of Solids and Liquids Question with Answer (26 Jul Morning shift, Q66) | JEE Arc

JEE Main 2022 · 26 Jul, Morning shift · Q66

JEE Main 202226 Jul, Morning shiftPhysicsHardProperties of Solids and Liquids184× since 2002

In an experiment to determine the Young's modulus of wire of a length exactly

1 \mathrm{~m}

, the extension in the length of the wire is measured as

0.4 \mathrm{~mm}

with an uncertainty of

\pm\, 0.02 \mathrm{~mm}

when a load of

1 \mathrm{~kg}

is applied. The diameter of the wire is measured as

0.4 \mathrm{~mm}

with an uncertainty of

\pm \,0.01 \mathrm{~mm}

. The error in the measurement of Young's modulus

(\Delta \mathrm{Y})

is found to be

x \times 10^{10}\, \mathrm{Nm}^{-2}

. The value of

x

is _________________.

\left(\right.

take

\mathrm{g}=10 \mathrm{~ms}^{-2}

)

Your answerType your answer. Integers and decimals are accepted.