A rubber cord $10\, m$ long is suspended vertically. How much does it stretch under its own weight $($Density of rubber is $1500\, kg/m^3, Y = 5×10^8 N/m^2, g = 10 m/s^2$$)$
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The ratio of the lengths of two wires $A$ and $B$ of same material is $1 : 2$ and the ratio of their diameter is $2 : 1.$ They are stretched by the same force, then the ratio of increase in length will be
Find the depth of lake at which density of water is $1\%$ greater than at the surface. Given compressibility ........... $km$ . $K = 50\times10^{-6}/atm$ ?
A uniform wire of length $L$ and radius $r$ is twisted by an angle $\alpha$. If modulus of rigidity of the wire is $\eta,$ then the elastic potential energy stored in wire, is $.........$
A steel wire of lm long and $1\,m{m^2}$ cross section area is hang from rigid end. When weight of $1\,kg$ is hung from it then change in length will be given ..... $mm$ $(Y = 2 \times {10^{11}}N/{m^2})$
Wires ${W}_{1}$ and ${W}_{2}$ are made of same material having the breaking stress of $1.25 \times 10^{9} \,{N} / {m}^{2}$ ${W}_{1}$ and ${W}_{2}$ have cross-sectional area of $8 \times 10^{-7}\, {m}^{2}$ and $4 \times 10^{-7}\, {m}^{2}$, respectively. Masses of $20 \,{kg}$ and $10\, {kg}$ hang from them as shown in the figure. The maximum mass that can be placed in the pan without breaking the wires is $.....{kg}$ (Use $\left.{g}=10\, {m} / {s}^{2}\right)$