Description : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.
Last Answer : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.
Description : Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.
Last Answer : Solution :
Description : Class 12 | Maths | Complex Numbers | Express the complex numbers modulus-amplitude form - √3 + i
Description : I need ways to test/get data about homemade plastics. What can I do with Flexural Strength and Flexural Modulus...
Last Answer : answer:Strength is how strong a material is – basically breaking load. Modulus is how flexible or stretchy a material is. Does not matter if the test coupon breaks or not. Think of uncooked spaghetti vs rubber band.
Description : The dimensions of modulus of elasticity are a.MLT-2 b.107 dynes c.MLT-1 d.ML-2T-1 e.ML-1T-2
Last Answer : e. ML-1T-2
Description : What is the SI unit of Young’s modulus of elasticity? -Do You Know?
Last Answer : answer:
Description : What is Young’s modulus? Describe an experiment to find out Young’s modulus of material
Last Answer : What is Young’s modulus? Describe an experiment to find out Young’s modulus of material in the form of a long straight wire.
Description : Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.
Last Answer : Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.
Description : What is Young’s modulus of a rigid body?
Last Answer : What is Young’s modulus of a rigid body?
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 : Dimension of modulus of elasticity is (a) ML–2T–2 (b) M–1L–1T–2 (c) ML–1T–2 (d) ML–1T–1
Last Answer : Ans:(c)
Description : The modulus of rigidity is the ratio of (1) Longitudinal stress to longitudinal strain (2) Volume stress to volume strain (3) Shearing stress to shearing strain (4) Tensile stress to tensile strain
Last Answer : (3) Shearing stress to shearing strain Explanation: In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S , is defined as the ratio of shear stress to the shear ... the case of an object that's shaped like a rectangular prism, it will deform into a parallelepiped.
Description : The dimensional formula ML⁻¹T⁻² corresponds to – (1) Modulus of elasticity (2) Viscosity (3) Moment of a force (4) Thrust
Last Answer : (1) Modulus of elasticity Explanation: M Li- T-2 is the dimension of any quantity that is force per unit area such as Pressure or Stress, Young's Modulus, Bulk Modulus, Modulus of Rigidity, ... the ratio of the stress applied to a body or substance to the resulting strain within the elastic limit.
Description : Explain difference between modulus of resilience and modulus of rigidity ?
Last Answer : Modulus of resilience is the maximum strain energy stored in a material per unit volume and modulus of rigidity is the ratio of shearing stress to the shearing strain within the elastic limit.
Description : What is the difference between proof resilience and modulus of resilience ?
Last Answer : Proof resilience is the maximum strain energy that can be stored in a material without permanent deformation. Modulus of resilience is the maximum strain energy stored in a material per unit volume.
Description : What is the SI unit of Young’s modulus of elasticity?
Last Answer : Newton/m2
Description : What is the modulus operator?
Last Answer : The modulus operator outputs the remainder of a division. It makes use of the percentage (%) symbol. For example: 10 % 3 = 1, meaning when you divide 10 by 3, the remainder is 1.
Description : Which of the following mechanical properties of a material is most structure insensitive? (A) Modulus of elasticity (young's modulus) (B) Toughness (C) Percentage reduction of area (D) Tensile strength
Last Answer : (A) Modulus of elasticity (young's modulus)
Description : Approximate value of the modulus of elasticity for steel is about __________ × 10 6kg/cm2 . (A) 0.5 (B) 2 (C) 40 (D) 75
Last Answer : (B) 2
Description : Dimensions of Young's modulus are A. [M]-1 [L]-1 [T]-2 B. [M]-1 [L]-2 [T]-2 C. [M] [L]-2 [T]-2 D. [M] [L]-1 [T]-2
Last Answer : [M] [L]-1 [T]-2
Description : Adiabatic bulk modulus is equal to: A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure B. Pressure C. The ratio of the specific heat capacities of the gas D. Υ ⁄ P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
Last Answer : Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressur
Description : Isothermal bulk modulus is equal to A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure B. Pressure C. The ratio of the specific heat capacities of the gas D. Υ ⁄ P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure
Last Answer : Pressure
Description : Velocity of sound waves through any material depends on A. the material's density ‘d’ only B. the material's density ‘d’ as well as its modulus of elasticity ‘E’ C. the material's modulus of elasticity ‘E’ only D. neither the material's density ‘d’ nor its modulus of elasticity ‘E’
Last Answer : the material's density ‘d’ as well as its modulus of elasticity ‘E’
Description : Speed ‘v’ with which wave travels through a medium is given by A. modulus of elasticity/density of the medium B. modulus of elasticity/√(density of the medium) C. √(modulus of elasticity/density of the medium) D. v=d/t
Last Answer : √(modulus of elasticity/density of the medium)
Description : Young's modulus is defined as A. tensile strain/tensile stress B. tensile stress/tensile strain C. tensile stress × tensile strain D. length/area
Last Answer : tensile stress/tensile strain
Description : While Young's modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates to change in volume, modulus of rigidity ‘G’ relates to change in: A. weight B. density C. shape D. temperature
Last Answer : . shape
Description : Ratio of tensile to strain is A. Young's modulus B. stress C. stiffness D. tensile force
Last Answer : Young's modulus
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 : Which of the following is measure of stiffness? a) Modulus of elasticity b) Modulus of plasticity c) Resilience d) Toughness
Last Answer : a) Modulus of elasticity
Description : Factor of safety for fatigue loading is the ratio of (a) elastic limit to the working stress (b) Young's modulus to the ultimate tensile strength (c) endurance limit to the working stress (d) elastic limit to the yield point
Last Answer : (c) endurance limit to the working stress
Description : The resistance to fatigue of a material is measured by (a) elastic limit (b) Young's modulus (c) ultimate tensile strength (d) endurance limit
Last Answer : (d) endurance limit
Description : The ability of a material to resist plastic deformation known as _____________ a) Tensile strength b) Yield strength c) Modulus of elasticity d) Impact strength
Last Answer : b) Yield strength
Description : A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444
Last Answer : A 0.144
Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550
Last Answer : A. 575
Description : Which of the following relation is correct regarding free torsional vibrations of a single motor system? a) Independent of modulus of rigidity b) Independent of polar moment of inertia c) Dependent on mass moment of inertia d) Independent of length of shaft
Last Answer : c) Dependent on mass moment of inertia
Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112
Last Answer : a) 0.147
Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41
Last Answer : d) 41
Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550
Last Answer : a) 575
Description : A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m2. Calculate the static deflection in nm. a) 0.001 b) 0.083c) 1.022 d) 0.065
Last Answer : a) 0.001
Description : The unit of bulk modulus of elasticity for a liquid in S.I. unit is (A) N (B) N/m (C) N/m2 (D) N/m3
Last Answer : (C) N/m2
Description : The bulk modulus of elasticity of a liquid (A) Is zero for incompressible liquid (B) Decreases with pressure (C) Is independent of temperature & pressure (D) Increases with pressure
Last Answer : (D) Increases with pressure
Description : For an incompressible fluid, the bulk modulus of elasticity is (A) 5 kg/m3 (B) ∞ N/m2 (C) 1 N (D) 0 N/m
Last Answer : (B) ∞ N/m2
Description : What is the Thiele modulus of the solid catalysed first order reaction as shown in the bellow figure, if the pore diffusion offers negligible resistance to reaction? (A) < 5 (B) < 0.5 (C) > 1 (D) 5
Last Answer : (B) < 0.5
Description : If Thiele modulus is __________, then the pore diffusion resistance in a catalyst may be considered as negligible. (A) 0 (B) ∞ (C) < 0.5 (D) > 0.5
Last Answer : (C) < 0.5
Description : For a first order chemical reaction in a porous catalyst, the Thiele modulus is 10. The effectiveness factor is approximately equal to (A) 0 (B) 1 (C) 0.1 (D) 0.5
Last Answer : (C) 0.1
Description : Which of the following is not a dimension-less group used in catalysis? (Where, D = dispersion co-efficient, cm2 /sec.D1 = diffusion co-efficient; cm2 /sec L = length of the reactor, cm t = time, sec, v = volumetric ... (D/vL) (B) Reduced time (vt/V) (C) Thiele modulus L √(k/D1 ) (D) None of these
Last Answer : (D) None of these
Description : Effectiveness factor (E) of a catalyst pellet is defined as, E = (actual rate within pore of the catalyst)/(rate if not snowed by pore diffusion), Effectiveness factor for a first order reaction is given by (where, T = Thiele modulus) (A) tan hT/T (B) tan T/T (C) tan hT/tan T (D) None of these
Last Answer : (A) tan hT/T
Description : The effectiveness factor for large value of Thiele modulus [L√(K/D1 )] of a solid catalysed first order reaction is equal to (where, L = length of the reactor, cm, D1 = diffusion co-efficient, cm2 /second). (A) L √(K/D1 ) (B) 1/[L√(K/D1 )] (C) 1 (D) ∞
Last Answer : (B) 1/[L√(K/D1 )]
Description : The ratio of shear stress and shear strain of an elastic material, is (A) Modulus of Rigidity (B) Shear Modulus (C) Modulus of Elasticity (D) Both (a) and (b)
Last Answer : (D) Both (a) and (b)
Description : A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is: (A) 1.125 cm3 (B) 2.125 cm3 (C) 3.125 cm3 (D) 4.125 cm
Last Answer : (C) 3.125 cm