Question 1 :
When strain is produced in a body within elastic limit. its internal energy<br><br>

Question 2 :
The force required to double the length of the steel wire of area of cross section $5\times 10^{-5}m^{2}\quad (Y=20\times 10^{10}Pa)$ in $N$ is:

Question 3 :
The elastic energy stored per unit volume in a stretched wire is

Question 4 :
A weight of $200 kg$ is suspended by vertical wire of length $600.5 cm$. The area of cross-section of wire is $1 mm^2$. When the load is removed, the wire contracts by $0.5 cm$. The Young's modulus of the material of wire will be <br><br>

Question 5 :
There are two wires of same material. their radii and lengths are both in the ratio 1:2. if the extensions produced are equal, what is the ratio of the loads?

Question 6 :
Consider the following two statements A and B&nbsp;and identify the correct answer .<br>A) A metal wire held vertically is longer than when&nbsp;it placed on a horizontal table.<br>B) Due to its own weight, some elongation is&nbsp;produced when it is held vertically.

Question 7 :
The force that must be applied to a steel wire $6m$ long and diameter $1.6mm$ to produce an&#160;extension of 1mm [$y=2.0 \times 10^{11}N.m^{-2}$] is&#160;approximate.

Question 8 :
A rubber rope of length $8\ m$ is hung from the ceiling of a room. What is the increase in length of rope due to its own weight? (Given : Young's modulus of elasticity of rubber $= 5\times 106\ N/m$ and density of rubber $= 1.5\times 10^{3} kg/ m^{3}$. Take $g = 10\ m/s^{2})$.

Question 9 :
Work done on stretching a rubber will be stored in it as :

Question 10 :
Equal weights are suspended from the wires of same material and same lengths but with radii in the ratio $1 : 2$. The ratio of extensions produced in them will be<br/>

Question 11 :
The length of a metal wire is $l_{1}$ when the tension in it is $F_{1}$ and $l_{2}$ when the tension in it&nbsp;is $F_{2}$. The&nbsp;natural length of the wire is

Question 12 :
A rubber cord catapult has cross-sectional area 25 mm$^2$ and initial length of rubber cord is 10 cm. It is stretched to 5 cm and then released to project a missile of mass 5 g. Taking $Y_{rubber} = 5 \times 10^8 Nm^{-2}$, velocity of projected missile is:

Question 13 :
Two exactly similar wires of steel (y$=$20 x 10$^{11}$dyne/cm$^{2}$) and copper (y $=$ 12 x 10$^{11}$ dyne/cm$^{2}$)are stretched by equal forces. If the total&nbsp;elongation is 1cm, elongation of copper wire is

Question 14 :
A copper wire having $Y=1\times 10^{11}N/m^{2}$ with length $6m$ and a steel wire having $Y=2\times 10^{11}N/m^{2}$ with &nbsp;length $4 m$ each of cross section $10^{-5}m^{2}$ are fastened end to end stretched by a tension of $100 N$. The&nbsp;elongation produced in the copper wire is :<br>

Question 15 :
Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored of their unit volume is $1:4$, the ratio of their diameters is:

Question 16 :
Uniform rod of mass $m$, length $l$, area of cross-section $A$ has Young's modulus $Y$. If it is hanged vertically, elongation under its own weight will be :

Question 17 :
Two wires of the same material have lengths in the ratio 1:2 and their radii are in the ratio $1:\sqrt{2}$. If&#160;they are stretched by applying equal forces, the increase in their lengths will be in the ratio :<br/>

Question 18 :
To wires $A$ and $B$ have the same length and area of cross section. But Young's modulus of $A$ is two times the Young's modulus of $B$. Then the ratio of force constant of $A$ to that of $B$ is

Question 19 :
Which of the following statement related to stress-strain relation is correct?

Question 20 :
&nbsp;Young's modulis of brass and steel are&nbsp; $10 \times 10^{10}\ N/m$ and $2\times 10^{11}\ N/m^2$, respectively. A brass wire and a steel wire of the same length are extended by $1mm$ under the same force. The radii of brass and steel wires are $R_B$ and $R_S$ respectively. Then<br>

Question 21 :
In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of the longitudinal strain $\sigma$ and modulus of elasticity $Y$ is<br>

Question 22 :
A thick uniform rubber rope of density $1.5\ g\ cm^{-3}$ and Young's modulus $5 \times 10^{6}$ $N m^{-2}$ has a length of $8 m$. When hung from the ceiling of a room, the increase in length of the rope due to its&nbsp;own weight will be

Question 23 :
A wire elongates by $1 mm$ when a load W is hanged from it. lf the wire goes over a pulley and two weights $\mathrm{W}$ each are hung at the two ends, the elongation of the wire will be (in mm):<br/>

Question 24 :
A copper wire and a steel wire of the same length and same cross section are joined end to end to&#160;form a composite wire. The composite wire is hung from a rigid support and a load is suspended from&#160;the other end. If the increase in length of the composite wire is $2.4\ mm$, then the increase in lengths of&#160;steel and copper wires are:<div>$(Y_{cu} = \, 10 \times \, 10^{10} \, N/m^2, \, Y_{steel} = \, 2 \times \, 10^{11} \, N /m^2)$&#160;&#160;</div>