Elasticity PYQ - Mechanics Physics | AP EAPCET

Young's modulus of a wire is \(2 \times 10^{11} \mathrm{Nm}^{-2}\). If an external stretching force of \(2 \times 10^{11} \mathrm{~N}\) is applied to a wire of length \(L\). The final length of the wire is (cross-section = unity)

The Young's modulus of a rubber string of length \(12 \mathrm{~cm}\) and density \(1.5 ~\mathrm{kgm}^{-3}\) is \(5 \times 10^8 ~\mathrm{Nm}^{-2}\). When this string is suspended vertically, the increase in its length due to its own weight is (Take, \(g=10 \mathrm{~ms}^{-2}\) )

Same tension is applied to the following four wires made of same material. The elongation is longest in

Two wires \(A\) and \(B\) of same cross-section are connected end to end. When same tension is created in both wires, the elongation in \(B\) wire is twice the elongation in \(A\) wire. If \(L_A\) and \(L_B\) are the initial lengths of the wires \(A\) and \(B\) respectively, then (Young's modulus of material of wire \(A=2 \times 10^{11} \mathrm{~Nm}^{-2}\) and Young's modulus of material of wire \(B=1.1 \times 10^{11} \mathrm{~Nm}^{-2}\)).

When the load applied to a wire is increased from 5 kg wt to 8 kg wt . The elongation of the wire increases from 1 mm to 1.8 mm . The work done during the elongation of the wire is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

A wire of length 100 cm and area of cross-section $2 \mathrm{~mm}^2$ is stretched by two forces of each 440 N applied at the ends of the wire in opposite directions along the length of the wire. If the elongation of the wire is 2 mm , the Young's modulus of the material of the wire is

The elongation of copper wire of cross-sectional area $3.5 \mathrm{~mm}^2$, in the figure shown, is

$$\left(Y_{\text {Copper }}=10 \times 10^{10} \mathrm{Nm}^{-2} \text { and } g=10 \mathrm{~ms}^{-2}\right)$$

As shown in the figure, a light uniform rod $P Q$ of length 150 cm is suspended from the ceiling horizontally using two metal wires $A$ and $B$ tied to the ends of the rod. The ratios of the radii and the Young's moduli of the materials of the two wires $A$ and $B$ are respectively $2: 3$ and $3: 2$. The position at which a weight should be suspended from the rod such that the elongations of the two wires become equal is

When a wire of length ' $L$ ' clamped at one end is pulled by a force ' $F$ ' from the other end, its length increases by ' $L$ '. If the radius of the wire and the applied force were halved, then the increase in its length is

When a sphere is taken to the bottom of a sea of depth 1 km , it contracts in volume by $0.01 \%$, then the Bulk modulus of the material of the sphere is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

When a wire made of material with Young's modulus $\gamma$ is subjected to a stress $S$, the elastic potential energy per unit volume stored in the wire is

The force required to stretch a steel wire of area of cross-section $1 \mathrm{~mm}^2$ to double its length is

(Young's modulus of steel $=2 \times 10^{11} \mathrm{~N}-\mathrm{m}^{-2}$ )

If the longitudinal strain of a stretched wire is $0.2 \%$ and the Poisson's ratio of the material of the wire is 0.3 , then the volume strain of the wire is

If the pressure on a body is increased from 200 kPa to 250 kPa , the volume of the body decreases by $0.25 \%$. The compressibility of the material of the body is (in $\mathrm{m}^2 \mathrm{~N}^{-1}$ )

A wire is stretched 1 mm by a force $F$. If a second wire of same material, same length and 4 times the diameter of the first wire is stretched by the same force $F$, then the elongation of the second wire is