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In an experiment to determine the Young's modulus, steel wires of five different lengths $(1,2,3,4$ and $5\,m )$ but of same cross section $\left(2\,mm ^{2}\right)$ were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is $x \times 10^{11}\,Nm ^{-2}$, then the value of $x$ is
Two wires $A$ and $B$ of same length, same area of cross-section having the same Young's modulus are heated to the same range of temperature. If the coefficient of linear expansion of $A$ is $3/2$ times of that of wire $B$. The ratio of the forces produced in two wires will be
An object is taken $1.0\,km$ deep in sea. Density of sea $= 1.025 \times 10^3\,kg/m^3$ , Bulk modulus of object $= 1.6 \times 10^6\, KPa$ Find out percentage change in density of object....... $\%$
The compressibility of water is $4 \times {10^{ - 5}}$ per unit atmospheric pressure. The decrease in volume of $100$ cubic centimeter of water under a pressure of $100$ atmosphere will be ......... $cc$
The Young's modulus of the material of a wire is $6 \times {10^{12}}\,N/{m^2}$ and there is no transverse strain in it, then its modulus of rigidity will be