Question 1 :
When a uniform wire of radius r is stretched by a $2 kg$ weight, the increase in its length is $2.00 mm$. If the radius of the wire is $r/2$ and other conditions remain in the same, increase in its length is

Question 2 :
Two wires of the same material and length are stretched by the same force. Their masses are in the ratio $3 : 2$. Their elongations are in the ratio<br>

Question 3 :
Consider the following two statements A and B and identify the correct answer.<br>A) The product of bulk modulus of elasticity and compressibility is one.<br>B) Tangential stress applied on the body only produes change in shape but not in size.

Question 4 :
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 6 :
A rigid bar of mass $15 kg$ is supported symmetrically by three wires each $2 m$ long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the tension? (Given E for copper = $110\times 10^{9} N/m^{2}$ and E for iron = $190\times 10^{9} N/m^{2}$).<br/>

Question 8 :
A steel wire of length 1 m has cross sectional area $1cm$ <br> $^{2}$. If young's modulus of steel is $10^{11}N / m^{2}$ ,then force required to increase the length of wire&#160;by 1 mm will be :

Question 9 :
The length of of a metal wire $l$ when the tension in is $'F'$ and $'xl'$ when the tension is $'yF'$. Then the natural length of the wire is

Question 10 :
Two wires A and B are of the same materials. Their lengths are in the ratio $1:2$ and the diameters are in the ratio $2:1$, When stretched by force $F_A$ and $F_B$ respectively they get equal increase in their lengths. Then the ratio $\dfrac{F_A}{F_B}$ should be: