Related Questions

Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?
A E = 2G (1 + v)
B E = G (1 + v)
C $${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$
D E = 2G (1 + 2v)
In a cricket season, Bangladesh defeated Australia twice, West Indies defeated Bangladesh twice, Australia defeated West Indies twice , Bangladesh defeated New Zealand twice, West Indies defeated New Zealand twice. Which country has lost most number of times ?
A Bangladesh
B Australia
C New Zealand
D West Indies
The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by
A $${\text{E}} = \frac{{3{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
B $${\text{E}} = \frac{{6{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
C $${\text{E}} = \frac{{9{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
D $${\text{E}} = \frac{{12{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
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
For an incompressible fluid, the bulk modulus of elasticity is
A 5 kg/m3
B $$\infty $$ N/m2
C 1 N
D 0 N/m
The bulk modulus of elasticity
A Has the dimensions of 1/pressure
B Increases with pressure
C Is large when fluid is more compressible
D Is independent of pressure and viscosity
The bulk modulus of elasticity with increase in pressure
A Increases
B Decreases
C Remain constant
D Increases first up to certain limit and then decreases
The dimensional formula of bulk modulus of elasticity is same as that of the
A Pressure
B Density
C Force
D None of these
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
When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the deflection of the spring ($$\delta $$) is given by (where d = Diameter of spring wire, n = No. of turns of the spring and C = Modulus of rigidity for the spring material)
A $$\frac{{{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{\text{C}}{{\text{d}}^4}}}$$
B $$\frac{{2{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{\text{C}}{{\text{d}}^4}}}$$
C $$\frac{{4{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{\text{C}}{{\text{d}}^4}}}$$
D $$\frac{{8{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{\text{C}}{{\text{d}}^4}}}$$

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