Prepare for NEET Physics Mechanical Properties Of Solids with MCQs & PYQs on NEET.GUIDE. Get free practice, previous year questions, and expert solutions to improve your problem-solving skills.
A material has a Poisson's ratio of 0.2. If a uniform pressure 'P' is applied to it, what will be the ratio of the volumetric strain to the linear strain in any direction?
1
2
3
4
A cylindrical rod of material A is encased within a hollow cylindrical shell of material B. Both materials are perfectly bonded at their interface. When subjected to an axial compressive force, material A experiences a lateral strain of . The Poisson's ratio of material A is $
u_AE_A
u_BE_B\epsilon_B = \epsilon_A$), and the axial strain in material B is negligible compared to material A, what is the ratio of the radial stress in material B to the radial stress in material A?
$\frac{E_A}{E_B} \frac{1 -
u_A}{1 -
u_B}$
$\frac{E_B}{E_A} \frac{1 -
u_A}{1 -
u_B}$
$\frac{E_B}{E_A} \frac{1 +
u_A}{1 +
u_B}$
$\frac{E_A}{E_B} \frac{1 +
u_A}{1 +
u_B}$
A wire of length and cross-sectional area is stretched by a force . If the Young's modulus of the wire is , and the wire obeys Hooke's law within the elastic limit, the strain energy density stored in the wire is:
F/(2AL)
FL/(AY)
F²/(2AY²)
F²L/(2A²Y)
Two wires of the same material and length but different cross-sectional areas and () are stretched by the same force. Which wire will have greater strain energy density?
The wire with cross-sectional area
The wire with cross-sectional area
Both wires will have the same strain energy density
Cannot be determined without knowing the Young's modulus
A metal wire is stretched by a force . If the volume of the wire remains constant during stretching, what is the Poisson's ratio of the material?
0
0.25
0.5
1
A rubber band is stretched to twice its original length. Assuming it obeys Hooke's law, what is the ratio of the strain energy stored in the stretched band to the work done in stretching it?
1
1/2
2
1/4
A wire is stretched by a certain force. If the radius of the wire is doubled and the same stretching force is applied, the strain energy stored in the wire will be:
One-fourth
One-half
Same
Four times
A wire of Young's modulus and length is stretched by a small amount . The work done in stretching the wire is proportional to:
A wire of length L and radius r is subjected to a tensile stress . If Young's modulus is Y and the Poisson's ratio is $
u$, the decrease in radius is given by:
$\frac{\sigma r
u}{Y}$
$\frac{\sigma r}{
u Y}$
$\frac{\sigma
u}{rY}$
A metal wire of Young's modulus Y and cross-sectional area A stretches by an amount when a load Mg is applied. Its rigidity modulus is:
YAΔL/MgL
MgL/AΔL
Y/2
Cannot be determined
