Question Text
Question 1 :
Two wires X and Y are made of different metals. The Young modulus of wire X is twice that of wire Y. The diameter of wire X is half that of wire Y.<br>The wires are extended with the same strain and obey Hooke's law.<br>What is the ratio $\dfrac{tension in wire X}{tension in wire Y}$?<br>
Question 2 :
Assertion: The stress-strain behaviour varies from material to material.
Reason: A rubber can be pulled to several times its original length and still returns to its original shape.
Question 4 :
According to Hooke's law of elasticity, if stress is increased, then the ratio of stress to strain :
Question 9 :
A spring is made of steel and not of copper because
Question 10 :
A steel cable with a radius $2cm$ supports a chairlift at a ski area. If the maximum stress is not to exceed ${ 10 }^{ 8 }N\quad { m }^{ -2 }$, the maximum load the cable can support is
Question 11 :
A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is :<br>($\alpha_{Cu} = 1.7 \times 10^{-5} K^{-1} $ and $\alpha_{Al} = 2.2 \times 10^{-5} K^{-1}$)
Question 12 :
The radii and Young's moduli of two uniform wires $A$ and $B$ are in the ratio $2:1$ and $1:2$ respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire $A$ is one percent, the percentage increase in length of the wire $B$ is:
Question 13 :
A wire of length L and Density $\phi$ and young's modulus Y is hanging from a support .Find the elongation in the length of the wire at which wire will break:
Question 14 :
The energy stored per unit volume in copper wire, which produces longitudinal strain of $0.1$% is: $\left( Y=1.1\times { 10 }^{ 11 }{ N }/{ { m }^{ 2 } } \right) $
Question 15 :
A fixed volume of iron is drawn into a wire of length l . The extension produced in this wire by a constant force F is proportional to then:-