Question 1 :
The property to restore the natural shape or to oppose the deformation is called :

Question 2 :
State whether true or false :<br>The metal used in construction of a bridge should have high Young's modulus.<br><br>

Question 4 :
Solids which break or rupture above the elastic&#160;limit are classified as:

Question 6 :
A wire suspended vertically from one of its ends is stretched by attaching a weight of $200N$ to the lower end. The weight stretches the wire by $1mm$. Then the elastic energy stored in the wire is

Question 7 :
The property of metals which allows them to be drawn into wires is known as :<br/>

Question 9 :
A compressive force is applied to a uniform rod of rectangular cross-section so that its length decreases by $1\%$. If the Poisson&#8217;s ratio for the material of the rod be $0.2$,&#160;which of the following statements is correct ? The volume approximately .....&#8221;

Question 10 :
Which property of an object cannot be changed by applying forces?

Question 11 :
For which of the following is the modulus of rigidity highest?<br>

Question 12 :
A material has poisson's ratio 0.5. If a uniform rod of it suffers a longitudinal strain of $3\times { 10 }^{ -3 }$, what will be percentage increase in volume?

Question 13 :
The bulk modulus of water is $2.1 \times 10^9 N/m^2$. The pressure required to increase the density of water by $0.1$% is:-

Question 14 :
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 15 :
A material has normal density $\rho$ and bulk modulus $B$. The increase in the density of the material, when it is subjected to an external pressure $P$ from all sides is :

Question 16 :
A metal cube of side length 8.0 cm has its upper surface displaced with respect to the bottom by 0.10 mm when a tangential force of 4 x N is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is <br>

Question 17 :
A wire suspended from one end carries a sphere&#160;at its other end. The elongation in the wire&#160;reduces from $2 mm$ to $1.6 mm$ on completely&#160;immersing the sphere in water. The density of&#160;the material of the sphere is

Question 19 :
In a&#160; young's double-slit experiment, the slits are separated by $0.5 mm$, and the screen is placed $150 cm$ away. A beam of light consisting of two wavelengths, $650 nm$, and $520 nm$, is used to obtain interference fringes on the screen. The least distance from the common central maxima to the point where the bright fringes due to both the wavelengths coincide is:&#160;&#160;<br/>

Question 20 :
Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $&#160;57^o C $ is drunk. (Take temperature of tooth to be $ 37^o C,\alpha =1.7\times { 10 }^{ -5 }{ }{ /^o C} $ and bulk modulus for copper $&#160;=140\times { 10 }^{ 9 }N{ m }^{ -2 } $ )&#160;

Question 21 :
A solid cube of copper of edge 10 cm subjected to a hydraulic pressure of 7 x&#160;$10^{6}$ pascal. If Bulk modulus of copper is 140 GPa, then contraction in its volume will be:

Question 23 :
A steel wire is 1m long and 1$mm^2$ in the area of&#160;cross-section. If it takes $200N$ to stretch the&#160;wire by $1mm$, the force that will be required to&#160;stretch the wire of the same material and cross-sectional&#160;area from a length of $10m$ to $1002 cm$

Question 24 :
When a metal wire is stretched by a load, the fractional change in its volume $\Delta V/V$ is proportional to?

Question 25 :
<br/>The equation of a stationary wave in a metal rod is given by $y=0.002\displaystyle \sin\frac{\pi x}{3}\sin 1000t$, where $\mathrm{x}$ is in cm and $\mathrm{t}$ is in second. The maximum tensile stress at a point $\mathrm{x}=2\mathrm{c}\mathrm{m}$ (Young's modulus $\mathrm{Y}$ of material of rod $=8\times 10^{11}dyne/cm^{2})$ will be<br/>

Question 26 :
The speed of a traverse wave travelling on a wire having a length $50\space cm$ and mass $50\space g$ is $80\space ms^{-1}$. The area of cross-section of the wire is $1\space mm^2$ and its Young's modulus is $16\times10^{11}\space Nm^{-2}$. Find the extension of the wire over natural length.

Question 27 :
A tension of $20\&#160; N$ is applied to a copper wire of cross sectional area $0.01 cm^2$, Young's Modulus of copper is $1.1\times 10^{11} N/m^2$ and Poisson's ratio is 0.32. The decrease in cross sectional area of the wire is:

Question 28 :
A steel rope has length $L$, area of cross-section $A$, Young's modulus $Y$. [$Density = d$].&#160;If the steel rope is vertical and moving with the force acting vertically up at the upper end, find the strain at a point $\displaystyle \frac{L}{3}$ from lower end.

Question 29 :
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 30 :
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 $8\times { 10 }^{ 8 }N/{ m }^{ 2 }$.