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NEET Physics : Mechanical Properties of Solids

Multiple Choice Questions

71.

The Poisson's ratio of a material is 0.5. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by 4%. The percentage increase in the length is

1 %
2 %
2.5 %
4 %

72.

The modulus of elasticity is dimensionally equivalent to

strain
force
stress
coefficient of viscosity

73.

A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of 2 x 10^-3 , then the percentage change in volume is

0.6
0.4
0.2
zero

74.

Let L be the length and d be the diameter of cross- section of a wire. Wires of the same material with different L and d are subjected to the same tension along the length of the wire. In which of the following cases, the extension of wire will be the maximum ?

L = 200 cm, d = 0.5 mm
L = 300 cm, d = 1.0 mm
L = 50 cm, d = 0.05 mm
L = 100 cm, d = 0.2 mm

75.

A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangenbtial force of 8 kN. The shearing modulus of cube is

2 × 10⁹ Nm^-2
4 $Shearing modulus of cube η = \frac{Fl}{A ∆ l} = \frac{8 \times 10^{3} \times 40 \times 10^{- 3}}{{(40 \times 10^{- 3})}^{2} \times (0.1 \times 10^{- 3})} = 2 \times 10^{9} {Nm}^{- 2}$ Nm^-2
8 × 10⁹ Nm^-2
16 × 10⁹ Nm^-2

76.

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?

Length = 50 cm, diameter = 0.5 mm
Length = 100 cm, diameter = 1 mm
Length = 200 cm, diameter = 2 mm
Length= 300 cm, diameter= 3 mm

77.

A wire of length L and area of cross-section A is stretched through a distance x metre by applying a force F along length, then the work done in this process is (Y is Young's modulus of the material)

$\frac{1}{2} (A . L) (\frac{Yx}{L}) (\frac{x}{L})$
$(A . L) (YL) (\frac{x}{L})$
$2 (A . L) (YL) (\frac{x}{L})$
$3 (A . L) (YL) (\frac{x}{L})$

78.

A wire canbe brokenbyapplyinga load of200 N. The force required to break another wire of the same length and same material, but double in diameter, is

200 N
400 N
600 N
800 N

79.

A metal rod is fixed rigidly at two ends so as to prevent its thermal expansion. If L, α and Y respectively denote the length of the rod, coefficient of linear thermal expansion and Young's modulus of its material, then for an increase in temperature of the rod by ΔT, the longitudinal stress developed in the rod is

inversely proportional to α
inversely proportional to Y
directly proportional to ΔT/Y
independent of L

80.

Which of the following substance has the highest elasticity ?

Steel
Copper
Rubber
Sponge

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NEET Physics : Mechanical Properties of Solids

Multiple Choice Questions