Question 1 :
The elongation produced in a copper wire of length 2m and diameter 3mm, when a force of 30N is applied is [Y$=$1x10$^{11}$N.m$^{-2}$]

Question 2 :
Two wires A and B of the same dimensions are under loads of $4$ and $5.5 kg$ respectively. The ratio of Young's modulii of the materials of the wires for the same elongation is:

Question 3 :
A copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm are connected end to end. When stretched by a force, the elonation in length 0.50 mm is produced in the copper wire. The stretching force is<br>$(Y_{cu}=1.1\times 10^{11}N/m^2, Y_{steel}=2.0\times 10^{11}N/m^2)$

Question 4 :
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 length $4 m$ each of cross section $10^{-5}m^{2}$ are fastened end to end stretched by a tension of $100 N$. The elongation produced in the copper wire is :<br>

Question 5 :
The Young's modulus of a rubber string $8\ cm$ long and density $1.5\ kg/m^ {3}$ is $5\times 10^{8}N/m^{2},$ is suspending on the ceiling in a room. The increase in the length due to its own weight will be:<br>

Question 6 :
When a tension $F$ is applied, the elongation&#160;produced in uniform wire of length $L$, radius $r$ is $e$. When tension $2F$ is applied, the elongation&#160;produced in another uniform wire of length $2L$ and radius $2r$ made of same material is:

Question 7 :
When a mass is suspended from the end of a wire the top end of which is attached to the roof of the lift, the extension is $e$ when the lift is stationary. If the lift moves up with a constant acceleration $g/2$, the extension of the wire would be

Question 8 :
The bulk modulus of rubber is $9.8\times 10^{8}N/m^{2}$. To what depth a rubber ball be taken in a lake so that its volume is decreased by $0.1$% ?<br>

Question 9 :
What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of $2.0 \times 10^5 Nm^{-2}$ from the following data? Density of kerosene = 800 kg m$^{-3}$ and speed of sound in kerosene = 1330 ms$^{-1}$

Question 10 :
When a metal wire is stretched by a load, the fractional change in its volume $\Delta V/V$ is proportional to?

Question 11 :
One end of a uniform rod of mass $M$ and cross-sectional area $A$ is suspended from the other end. The stress at the mid-point of the rod will be :

Question 12 :
In Searle's experiment to find Young's modulus the diameter of wire is measured as $d=0.05cm$, length of wire is $l=125cm$ and when a weight,$m=20.0kg$ is put, extension in wire was found to be $0.100cm$. Find the maximum permissible error in Young's modulus $(Y)$. Use:$Y=\displaystyle\frac{mgl}{(\pi/4)d^2x}$.

Question 13 :
Two metal wire 'P' and 'Q' of same length and material are stretched by same load. Their masses are in the ratio $m_1 : m_2$. The ratio of elongations of wire 'P' to that of 'Q' is

Question 14 :
A steel wire 2 m long is suspended from the ceiling. When a mass is hung at its lower end, the increase in length recorded is 1 cm. Determine the strain in the wire.

Question 15 :
The rubber cord of a catapult has cross-section area $2m{m}^{2}$ and a total unstretched length $15cm$. It is stretched to $18cm$ and then released to project a particle of mass $3g$. Calculate the velocity of projection if $Y$ for rubber is $8\times { 10 }^{ 8 }N/{ m }^{ 2 }$.