Derive an expression for strain energy per unit volume of the material of a wire.

1 Answer

Answer :

Derive an expression for strain energy per unit volume of the material of a wire.

Related questions

Description : Strain energy of a stretched wire is 18 × 10^-3 J and strain energy per unit volume of the same wire

Last Answer : Strain energy of a stretched wire is 18 10-3 J and strain energy per unit volume of the same wire and same cross ... ) 3 m3 (C) 6 m3 (D) 6 cm3

Description : If S is stress, Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is (a) 2Y/S (b) S/2Y (c) 2S2Y (d) S2/2Y

Last Answer : Ans:(d)

Description : Modulus of resilience is defined as a) Strain energy per unit volume b) Strain energy per unit area c) Independent of strain energy d) None of the mentioned

Last Answer : a) Strain energy per unit volume

Description : If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque  when t attains maximum shear stress fs  the ratio of inner diameter to outer diameter, is 17/64  (fs/N)  (A) 1/2  (B) 1/3  (C) 1/4  (D) 1/5

Last Answer : (C) 1/4 

Description : Derive an expression for binding energy of a body at rest on the Earth’s surface.

Last Answer : Derive an expression for binding energy of a body at rest on the Earth’s surface.

Description : Derive an expression for energy stored in a magnetic field . 

Last Answer : Expression for energy stored in a magnetic field: The energy is stored in magnetic field when current increases and return back when the current decreases. At instant t' seconds after closer of switch ... energy absorbed by the magnetic field when current increases from 0 to I amperes 

Description : How can we derive the expression for cross product of two vectors?

Last Answer : Here is a video that shows where the term cross comes from. Two vectors in a 3D space when “multiplied” by each other result in a third vector that represents how they “cross” each other.

Description : Derive the expression for average velocity and instantaneous velocity for the motion of an object in x-y plane.

Last Answer : Derive the expression for average velocity and instantaneous velocity for the motion of an object in x-y plane.

Description : Derive the expression for average acceleration and instantaneous acceleration for the motion of an object in x-y plane.

Last Answer : Derive the expression for average acceleration and instantaneous acceleration for the motion of an object in x-y plane.

Description : Derive an expression for cross product of two vectors and express it in determinant form.

Last Answer : Derive an expression for cross product of two vectors and express it in determinant form.

Description : Define escape speed. Derive an expression for the escape speed of an object from the surface of the earth.

Last Answer : Define escape speed. Derive an expression for the escape speed of an object from the surface of the earth.

Description : Derive an expression for critical velocity of a satellite.

Last Answer : Derive an expression for critical velocity of a satellite.

Description : What is centripital accelerration derive an expression for it

Last Answer : What is centripital accelerration derive an expression for it

Description : Derive a mathematical expression for AM wave.

Last Answer : Derive a mathematical expression for AM wave.

Description : Derive an expression for delta to star transformation. 

Last Answer : For delta network the resistance between the terminals 1 and 2 consists of R12 in parallel with  (R23+R31) Hence ,the resistance between the terminals 1 and 2 is In case of star network the ... equation( ii) from( i),we get Adding equations (iii) and( iv),we have 

Description : Derive an expression for resonant frequency of series RLC circuit.

Last Answer : At resonance frequency in RLC series circuit, we have inductive reactance is equal to capacitive reactance i.e.  Where fr is the resonant frequency in RLC series circuit. 

Description : Resilience of spring is (a) Strain energy per unit length (b) Strain energy per unit area (c) Strain energy per unit mass (d) None

Last Answer : (d) None

Description : Brunauer, Emmet and Teller (BET) equation is used to determine the specific surface area of a porous particle but not the pore volume & the porosity of the catalyst bed. Which of the following postulates ... (except the first one) is involved in each of the evaporation process (D) None of these

Last Answer : (B) There is no dynamic equilibrium between successive layer

Description : Stiffness of material is measured by, A. Proportional unit B. Modules of elasticity C. Stress/ strain

Last Answer : B. Modules of elasticity

Description : The deformation per unit length is called (a) Strain (b) Stress (c) Elasticity (d) None of these

Last Answer : (a) Strain

Description :  Gauge factor of strain gauge is defined as the ratio of per unit change in the ______.

Last Answer :  Gauge factor of strain gauge is defined as the ratio of per unit change in the resistance to the per unit change in the length of the element.

Description : Calculate the polarisation vector of the material which has 100 dipoles per unit volume in a volume of 2 units. a) 200 b) 50 c) 400 d) 0.02

Last Answer : a) 200

Description : The strain energy due to volumetric strain  (A) Is directly proportional to the volume  (B) Is directly proportional to the square of exerted pressure  (C) Is inversely proportional to Bulk modulus  (D) All the above 

Last Answer : (D) All the above 

Description : Strain energy of a member may be equated to  (A) Average resistance × displacement  (B) ½ stress × strain × area of its cross-section  (C) ½ stress × strain × volume of the member  (D) ½ (stress)2  × volume of the member + Young's modulus E

Last Answer : (D) ½ (stress)2  × volume of the member + Young's modulus E

Description : State Hooke’s law. Draw a labelled graph of tensile stress against tensile strain for a metal wire

Last Answer : State Hooke's law. Draw a labelled graph of tensile stress against tensile strain for a metal wire up ... the region in which Hooke's law is obeyed.

Description : When a wire is stretched to double in length, the longitudinal strain produced in it is (a) 0.5 (b) 1.0 (c) 1.5 (d) 2.0

Last Answer : b) 1.0

Description : Explain stress-strain diagram for a wire under continuously increasing load.

Last Answer : A graph or diagram of stress and strain is shown as above.  OE Portion is straight line which indicates that stress is proportional to strain. Therefore the wire obeys Hooke's law upto the point ... point D is ultimate stress point. It is the max. stress the wire is capable of with standing.

Description : The advantage of a semiconductor strain gauge cover the wire round strain gauge is that

Last Answer : The advantage of a semiconductor strain gauge cover the wire round strain gauge is that it is more sensitive

Description : If Poisson's ratio of a resistance wire strain gauge is 1.8, then neglecting piezo-resistive effects, its Gauge factor is :  (A) 2.8 (B) 2.6 (C) 4.6 (D) 3.6

Last Answer : If Poisson's ratio of a resistance wire strain gauge is 1.8, then neglecting piezo-resistive effects, its Gauge factor is : 4.6

Description : The total strain energy for a unit cube subjected to three principal stresses is given by? a) U= [(σέ) 1 + (σέ) 2+ (σέ) 3]/3 b) U= [(σ12+σ22+σ32)/2E] – (σ1σ2+σ2σ3+σ3σ1)2μ c) U= [(σέ) 1 + (σέ) 2+ (σέ) 3]/4 d) None of the mentioned

Last Answer : b) U= [(σ12+σ22+σ32)/2E] – (σ1σ2+σ2σ3+σ3σ1)2μ

Description : 9. The elastic strain energy of a unit length of an edge dislocation as compared to that of a screw dislocation is (A) More (B) Equal (C) Less (D) Double

Last Answer : Option A

Description : The area under stress-strain curve represents a.Hardness of material b.Breaking strength of the material c.Energy required to cause failure d.Toughness of material e.Malleabbility of material

Last Answer : c. Energy required to cause failure

Description : A ductile material may not meet a failure if it has been tested for the theories of failure (a) Firstly Maximum Shear Stress Theory (b) Secondly Maximum Shear Strain Energy Theory (c) Both (a) & (b) (d) None

Last Answer : (c) Both (a) & (b)

Description : A ductile material may not meet a failure if it has been tested for the theories of failure (a) Firstly Maximum Principal Theory (b) Secondly Maximum Principal Strain Theory (c) Thirdly Maximum principal strain energy theory (d) None

Last Answer : (d) None

Description : Total strain energy theory for the failure of a material at elastic limit, is known  (A) Guest's or Trecas' theory  (B) St. Venant's theory  (C) Rankine's theory  (D) Haig's theory 

Last Answer : (D) Haig's theory 

Description : Shear strain energy theory for the failure of a material at elastic limit, is due to  (A) Rankine  (B) Guest or Trecas  (C) St. Venant  (D) Von Mises

Last Answer : (D) Von Mises

Description : Which of the following theories of failure is most appropriate for a brittle material? (a) Maximum principal strain theory (b) Maximum principal stress theory (c) Maximum shear stress theory (d) Maximum strain energy theory

Last Answer : (b) Maximum principal stress theory

Description : Derive the formula for potential energy. -Physics 9th

Last Answer : Potential energy is the energy possessed by the body by virtue of its position or configuration. Consider a body of mass m at a height 'h' from the ground. The amount of work done to raise this body to this height h against the force of gravity: W=F×h where F is the force of gravity . W=mgh

Description : Name the organisms which do not derive energy directly or indirectly from sun. (a) Chemosynthetic bacteria (b) Pathogenic bacteria (c) Symbiotic bacteria (d) Mould

Last Answer : (a) Chemosynthetic bacteria

Description : Write A Short Note On Gibbs Free Energy And Derive The Equation For The Same.?

Last Answer : This thermodynamic quantity states that the decrease in value during a process is equal to the useful work done by the system. It is denoted by G and the mathematical equation is: G = H - TS Where ... of the system Thus the above equation becomes: ΔG = ΔH - TΔS is known as Gibbs-Helmoholtz equation.

Description : Food webs derive their energy from sunlight. a) True b) False

Last Answer : FALSE

Description : Pick out the wrong statement. (A) Higher specific gravity of petroleum products means higher C/H ratio (B) Aromatics have lower specific gravity than corresponding paraffins (C) Hydrocarbons of low ... of high specific gravity (e.g., aromatics) possess the maximum thermal energy per unit weight

Last Answer : (B) Aromatics have lower specific gravity than corresponding paraffins

Description : Bernoulli's principle states that, for streamline motion of an incompressible non-viscous fluid: A. the pressure at any part + the kinetic energy per unit volume = constant B. the kinetic ... + the kinetic energy per unit volume + the potential energy per unit volume = constant

Last Answer : the pressure at any part + the kinetic energy per unit volume + the potential energy per unit volume = constant

Description : Calculate the energy stored per unit volume in a dielectric medium due to polarisation when P = 9 units and E = 8 units. a) 1.77 b) 2.25 c) 36 d) 144

Last Answer : c) 36

Description : Each term of the Bernoulli's equation written in the form, (p/ρ) + (g/gc ). Z + (v 2 /2gc ) = constant, represents the total energy per unit (A) Mass (B) Volume (C) Specific weight (D) None of these

Last Answer : (A) Mass

Description : The pressure’of a gas in terms of its mean kinetic energy per unit volume E is equal to  (a) E/3  (b) E/2  (c) 3E/4  (d)2E/3  (e) 5E/4.

Last Answer : Answer : d

Description : Energy stored per unit volume inside the solenoid is called: a. Energy density b. Charge Density c. Mass density d. Volume charge density

Last Answer : energy density is correct

Description : Assertion : If a current flows through a wire of non-uniform cross-section, potential difference per unit length of wire is same throughout the length

Last Answer : Assertion : If a current flows through a wire of non-uniform cross-section, potential difference per ... . If Assertion is false but Reason is true.

Description : A transmission line consisting of two conductors that have equal resistance per unit length. A. Unbalanced line B. Open-wire line C. Balanced line D. Coaxial line

Last Answer : C. Balanced line

Description : The spring index is, (A) Ratio of wire diameter to mean coil diameter (B) Force per unit cross-sectional area of spring (C) Ratio of mean coil diameter to wire diameter (D) Force required to produce unit deflection

Last Answer : (C) Ratio of mean coil diameter to wire diameter