Amity International School,Pushp Vihar
MECHANICAL PROPERTIES OF SOLIDS MCQS
Class 11 - Physics
1. A copper cube measures 6.00 cm on each side. The bottom face is held in place by very strong glue to a flat [1]
horizontal surface, while a horizontal force F is applied to the upper face parallel to one of the edges. How large
must F be to cause the cube to deform by 0.250 mm? (shear modulus of copper = 4.4 × 1010 Pa)
a) 6.4 × 105 N b) 6.5 × 105 N
c) 6.3 × 105 N d) 6.6 × 105 N
2. A specimen of oil having an initial volume of 600 cm3 s subjected to a pressure increase of 3.6 × 106 Pa and the [1]
volume is found to decrease by 0.45 cm3 what is the compressibility of the material?
a) 2.3 × 10-10 Pa −1 b) 2.1 × 10-10 Pa−1
c) 1.7 × 10-10 Pa −1 d) 1.9 × 10-10 Pa −1
3. The breaking force for a wire of diameter D of material is F. The breaking force for a wire of the same material [1]
of radius D is
a) F b) 2F
c) 4F d) F
4. A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 × 106 Pa and [1]
the volume is found to decrease by 0.45 cm3 what is the bulk modulus of the material?
a) 4.4 × 109 Pa b) 5.0 × 109 Pa
c) 4.8 × 109 Pa d) 4.6 × 109 Pa
5. You hang a flood lamp from the end of vertical steel wire. The flood lamp stretches the wire 0.18 mm and the [1]
stress is proportional to the strain. How much would it have stretched if the wire had the same length but twice
the diameter?
a) 0.075 mm b) 0.045 mm
c) 0.055 mm d) 0.065 mm
6. A steel rod of length 1 m and radius 10 mm is stretched by a force 100 kN along its length. The stress produced [1]
in the rod is YSteeI = 2 × 1011 Nm-2.
a) 3.18 × 106 Nm-2 b) 3.18 × 107 Nm-2
c) 3.18 × 109 Nm-2 d) 3.18 × 108 Nm-2
7. The S.I. unit of stress is: [1]
1/3
a) Newton b) Joule
c) Watt d) Pascal
8. 12.0-kg mass, fastened to the end of aluminum wire with an unstretched length of 0.50 m, is whirled in a vertical [1]
circle with a constant angular speed of 120 rev/min. The cross-sectional area of the wire is 0.014 cm2. Calculate
the elongation of the wire when the mass is at the highest point of its path. ( young modulus of aluminum 0.70 ×
1011 N/m2)
a) 0.54 cm b) 0.38 cm
c) 0.36 cm d) 0.40 cm
9. You hang a flood lamp from the end of vertical steel wire. The flood lamp stretches the wire 0.18 mm and the [1]
stress is proportional to the strain. How much would it have stretched if the wire were twice as long?
a) 0.36 mm b) 0.34 mm
c) 0.40 mm d) 0.38 mm
10. Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and [1]
outer radii of each column are 30 and 60 cm respectively. Assuming the load distribution to be uniform,
calculate the compression strain of each column? Take Young's modulus of steel as 20 × 1010 Pa
a) 7.95 × 10-6 b) 7.1 × 10-6
c) 7.0 × 10-7 d) 7.224 × 10-7
11. With what minimum acceleration can a fireman slide down a rope whose breaking strength is two-third of his [1]
weight?
g
a) 3
2
g b) 2
g
c) 2
3
g d) 3
12. The compressibility of water is 4 × 10-5 per unit atmospheric pressure. The decrease in volume of 100 cm3 of [1]
water under a pressure of 100 atmosphere will be
a) 0.4 cm3 b) 0.025 cm3
c) 0.004 cm3 d) 4 × 10-5 cm3
13. According to Hooke's law of elasticity, if stress is increased, the ratio of stress to strain [1]
a) increases b) remains constant
c) becomes zero d) decreases
14. For a constant hydraulic stress on an object, the fractional change in the object’s volume ( ΔV
V
) and its bulk [1]
modulus (B) are related as:
a) ΔV
V
∝ B b) ΔV
V
∝
1
c) ΔV
V
∝ B
−2
d) ΔV
V
∝ B
2
15. The relation between Young's modulus (Y), bulk modulus (κ ) and modulus of elasticity (η) is [1]
a) 3
Y
=
1
n
+
3
κ
b) 1
Y
=
3
η
+
1
3κ
c) d)
1 1 3 1 3 1
= = = +
Y κ η n γ 3k
2/3
3/3
