Question 3 :
The ratio of hydraulic stress to the corresponding strain is known as
Question 4 :
The Young's modulus of a wire of length $L$ and radius $r$ is $Y$. If the length is reduced to $\cfrac{L}{2}$ and radius is $\cfrac{r}{2}$, then the Young's modulus will be
Question 6 :
Bulk Modulus, Pressure, Force, Stress, which one of these wont have the same unit as the others?
Question 11 :
<span>Which one of the following is true about Bulk Modulus of elasticity?</span>
Question 12 :
A solid cube of copper of edge 10 cm subjected to a hydraulic pressure of 7 x $10^{6}$ pascal. If Bulk modulus of copper is 140 GPa, then contraction in its volume will be:
Question 13 :
The bulk modulus of water if its volume changes from $100$ litre to $99.5$ litre under pressure of $100atm$ is then<br/>(Take $1\quad atm={ 10 }^{ 5 }N{ m }^{ -2 }\quad $)
Question 14 :
The bulk modulus of gas is $6 \times 10^3N/m^2$. The additional pressure needed to reduce the volume of liquid by 10% is
Question 15 :
The bulk modulus of a spherical objects is '$B$'. If it is subjected to uniform pressure '$P$', the fractional decrease in radius is:
Question 16 :
The relation between $Y, \eta$ and $B$ where $Y, \eta ,B$ are Young's Modulus, Shear modulus and bulk modulus respectively.
Question 17 :
The bulk modulus of water is $2.0\times { 10 }^{ 9 }\ { N }/{ { m }^{ 2 } }$ . The pressure required to increase the density of water $0.1 \%$ is
Question 18 :
When a pressure of $100$ atmosphere is applied on a spherical ball of rubber, then its volume reduces to $0.01 \%$ . The bulk modulus of the material of the rubber in dyne $\mathrm { cm } ^ { - 2 }$ is
Question 19 :
The Young's modulus of a wire is numerically equal to the stress which will
Question 20 :
A wire of length $L$, area of cross section $A$ is hanging from a fixed support. The length of the wire changes to $L_1$ when mass $M$ is suspended from its free end. The expression for Youngs modulus is :
Question 21 :
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 22 :
A uniform wire (Young's modulus $2\times 10^{11}Nm^{-2}$ ) is subjected to longitudinal tensile stress of $5\times 10^7\ Nm^{-2}$. If the overall volume change in the wire is $0.02\%$, the frictional decrease in the radius of the wire is close to
Question 23 :
The isothermal bulk modulus of a gas at atmospheric pressure is
Question 24 :
To what depth must a rubber ball be taken in deep sea so that its volume is decreased by $0.1$%<br>(Take density of sea water ${ 10 }^{ 3 }kg\quad { m }^{ -3 }$, bulk modulus of rubber $=9\times { 10 }^{ 8 }N{ m }^{ -2 },g=10m{ s }^{ -2 }$)
Question 26 :
When temperature of gas is $20^{0}C$ and pressure is changed from $P_1$=1.01$\times 10^{5}$Pa to $P_2$=1.165$\times 10^{5}$Pa then the volume changed by 10%. the bulk modulus is:
Question 27 :
A uniform rod of length $L$ has a mass per unit length $\lambda$ and area of cross section $A$. If the Young's modulus of the rod is $Y$. The elongation in the rod due to its own weight is
Question 28 :
For a constant hydraulic stress on an object, the fractional change in the object's volume ($\displaystyle \Delta { V }/{ V }$) and its bulk modulus (B) are related as:
Question 29 :
If Youngs modulus of iron is $2 \times 10^{11} N/m^{2}$ and the interatomic spacing between two molecules is $3 \times 10^{-10} metre$, the interatomic force constant is<br><br>
Question 30 :
The compressibility of water $4\times 10^{-5}$ per unit atmospheric pressure. The decrease in volume of $100\ cubic$ centimeter of water under a pressure of $100$ atmosphere will be:
Question 31 :
The density of water at the surface of the ocean is $\rho$ and atmospheric pressure is ${P}_{0}$. If the bulk modulus of water is $K$, what is the density of ocean water at a depth where the pressure is then$n{P}_{0}$?
Question 32 :
A tensile force of $2\times { 10 }^{ 3 }N$ doubles the length of a rubber band of cross-sectional area $2\times { 10 }^{ -4 }{ m }^{ 2 }$. The Young's modulus of elasticity of the rubber band is <br/>
Question 33 :
One end of a steel pipe of length $100m$ is hammered and a person standing at the other end hears two sound waves one through the air column and other through the material of the pipe. If the Young's modulus of elasticity of steel is $2.0\times {10}^{11}N/{m}^{2}$ and density is $7.7\times {10}^{3}kg/{m}^{3}$, then the time interval between these sounds will be:
Question 34 :
A uniform pressure p is exerted on all sides of a solid cube at temperature ${t^0}C$. By what amount should the temperature of the cube be raised in order to bring its volume back to the value it had before the pressure was applied? The coefficient of volume expansion of the cube y and the bulk modulus is B.
Question 35 :
A uniform rod of mass m and length $l$ is rotating with constant angular velocity $\omega$ about an axis which passes through its one end and perpendicular to the length of rod. The area of cross section of the rod is A and its young's modulus is Y. Neglect gravity. The strain at the mid point of the rod is :
