When a weight of 10, kg is suspended from a copper wire of length 3 metres and diameter 0.4, mm, its

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8.Mechanical Properties of Solids

medium

When a weight of $10\, kg$ is suspended from a copper wire of length $3$ metres and diameter $0.4\, mm,$ its length increases by $2.4\, cm$. If the diameter of the wire is doubled, then the extension in its length will be ........ $cm$

$9.6$

$4.8 $

$1.2$

$0.6$

Solution

(d) $l \propto \frac{1}{{{r^2}}}$ $(F,L$ and $Y$ are constant$)$

$\frac{{{l_2}}}{{{l_1}}} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2} = {\left( {\frac{1}{2}} \right)^2} \Rightarrow {l_2} = \frac{{{l_1}}}{4} = \frac{{2.4}}{4}$$ \Rightarrow {l_2} = 0.6\;cm$

Standard 11

Physics

The proportional limit of steel is $8 \times 10^8 \,N / m ^2$ and its Young's modulus is $2 \times 10^{11} \,N / m ^2$. The maximum elongation, a one metre long steel wire can be given without exceeding the elastic limit is …… $mm$

medium

The length of a wire is $1.0\, m$ and the area of cross-section is $1.0 \times {10^{ – 2}}\,c{m^2}$. If the work done for increase in length by $0.2\, cm$ is $0.4\, joule$, then Young's modulus of the material of the wire is

medium

The length of metallic wire is $l$. The tension in the wire is $T_1$ for length $l_1$ and tension in the wire is $T_2$ for length $l_2$. Find the original length.

hard

(JEE MAIN-2021)

Two wires $A$ and $B$ of same material have radii in the ratio $2: 1$ and lengths in the ratio $4: 1$. The ratio of the normal forces required to produce the same change in the lengths of these two wires is …….

easy

A load of $2 \,kg$ produces an extension of $1 \,mm$ in a wire of $3 \,m$ in length and $1 \,mm$ in diameter. The Young's modulus of wire will be ………. $Nm ^{-2}$

easy

When a weight of $10\, kg$ is suspended from a copper wire of length $3$ metres and diameter $0.4\, mm,$ its length increases by $2.4\, cm$. If the diameter of the wire is doubled, then the extension in its length will be ........ $cm$

Solution

Similar Questions

The proportional limit of steel is $8 \times 10^8 \,N / m ^2$ and its Young's modulus is $2 \times 10^{11} \,N / m ^2$. The maximum elongation, a one metre long steel wire can be given without exceeding the elastic limit is …… $mm$

The length of a wire is $1.0\, m$ and the area of cross-section is $1.0 \times {10^{ – 2}}\,c{m^2}$. If the work done for increase in length by $0.2\, cm$ is $0.4\, joule$, then Young's modulus of the material of the wire is

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