Question 1 :
When a tension $F$ is applied, the elongation produced in uniform wire of length $L$, radius $r$ is $e$. When tension $2F$ is applied, the elongation produced in another uniform wire of length $2L$ and radius $2r$ made of same material is:

Question 3 :
Two wire $A$ and $B$ are of the same material. Their lengths are in the ratio of $1:2$ and the diameter are in the ratio $2:1$. If they are pulled by the same force, then increase in length will be in the ratio of

Question 4 :
A stone of mass <i>m </i>tied to one end of a thread of length <i>l</i>. The diameter of the thread is <i>d </i>and it is suspended vertically. The stone is now rotated in a horizontal plane and makes an angle $\theta$ with the vertical. Find the increase in length of the wire. Young's modulus of the wire is Y.<br>

Question 5 :
What should be done if the gas cylinder at your home catches fire?

Question 6 :
Ratio of lengths of two brass wires is 3 : 4; their areas of cross section are in the ratio 2:3. When same force is applied on them, the elongations produced will be in the ratio:

Question 7 :
The ratio of Youngs modulus of the material of two wires is $2 : 3$. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be<br><br>

Question 8 :
Two wire of same radius and length are subjected to the same load, One wire is of steel and the other is copper. If Young's modulus of steel is twice that of copper, then the ratio of elastic energy stored per unit volume of steel to that of copper wire is

Question 9 :
A steel wire of length $L$ and area of cross-section A shrinks by $\Delta l$ during night. Find the tension developed at night if Young's modulus is $Y$ and wire is clamped at both ends<br/>

Question 10 :
If a rubber ball is taken at the depth of $200m$ in a pool, its voulme decreases by $0.1\%$. If the density of the water is $1\times 10^3kg/m^3$ and $g=10m/s^2$, then the volume elasticity in $N/m^2$ will be

Question 11 :
Copper of fixed volume 'V' is drawn into wire of length 'l'. When this wire is subjected to a constant force 'F', the extension produced in the wire is $'\Delta l'$. Which of the following graph is a straight line?

Question 12 :
A wire of density $9\times10\space kg\space m^{-3}$ stretched between two clamps $1\space m$ apart is subjected to an extension of $4.9\times10^{-4}\space m$. If Young's modulus of the wire is $9\times10^{-4}\space m$. The lowest frequency of transverse vibrations in the wire is

Question 13 :
If the work done in stretching a wire by 1mm is&#160;2 J, the work necessary for stretching another&#160;wire of same material but with double radius of&#160;cross section and half the length by 1mm is : (in joules) &#160; &#160; &#160; &#160; &#160; &#160;&#160;

Question 14 :
Young's modulis of brass and steel are $10 \times 10^{10}\ N/m$ 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 17 :
A given quantity of an ideal gas is at pressure $P$ and absolute temperature $T.$ The isothermal bulk modulus of the gas is:

Question 18 :
A wire of length L and of cross-sectional area A is made of a material of Young's modulus Y. The work done in stretching the wire by an amount $x$ is given by :

Question 19 :
The compressibility of water is $6\times { 10 }^{ -10 }{ N }^{ -1 }{ m }^{ 2 }$. If one litre is subjected to a pressure of $4\times { 10 }^{ 7 }N{ m }^{ -2 }$, the decrease in its volume is then<br/>

Question 20 :
The expression for the determination of Poisson's ratio for rubber is<br>