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Deformation of Solids MCQs — Physics (page 4)

110 multiple-choice questions on Deformation of Solids from Physics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

76. A spring obeying Hooke's law extends 3 cm under a final force of 6 N. The work done in stretching it is:

  1. 0.18 J
  2. 0.09 J
  3. 9 J
  4. 0.045 J

Answer: B) 0.09 J

Explanation: Work = area of the triangle = 12Fe = 12(6)(0.03) = 0.09 J. SLO P-11-B-27 · Application

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77. A spring of spring constant 2000 N/m is stretched by 0.015 m (within the limit of proportionality). The elastic potential energy stored is:

  1. 15 J
  2. 0.112 J
  3. 0.225 J
  4. 0.45 J

Answer: C) 0.225 J

Explanation: Ep = 12kx^2 = 12(2000)(0.015)^2 = 0.225 J. SLO P-11-B-28 · Application

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78. A force that stretches a wire produces:

  1. compressive deformation
  2. tensile deformation
  3. shear deformation
  4. no deformation

Answer: B) tensile deformation

Explanation: Tension increases the length. SLO P-11-B-23 · Understanding

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79. A wire (Y = 1 10^11 Pa) of length 1.5 m and area 2 10^-6 m^2 carries 300 N. Its extension is:

  1. 22.5 mm
  2. 2.25 mm
  3. 0.225 mm
  4. 4.5 mm

Answer: B) 2.25 mm

Explanation: e = FlYA = 0.00225 m = 2.25 mm. SLO P-11-B-24 · Application

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80. Which change does NOT count as one-dimensional deformation?

  1. stretching a wire
  2. compressing a column
  3. extending a spring
  4. twisting a rod

Answer: D) twisting a rod

Explanation: Twisting (torsion) is not a change of length along one line. SLO P-11-B-23 · Understanding

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81. Elastic potential energy is stored in a stretched wire as:

  1. heat
  2. energy of the displaced atoms (intermolecular bonds)
  3. kinetic energy of the wire
  4. chemical energy

Answer: B) energy of the displaced atoms (intermolecular bonds)

Explanation: Released when the wire contracts. SLO P-11-B-28 · Application

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82. A spring hanging with a load at the bottom shows:

  1. no deformation
  2. plastic flow only
  3. tensile deformation
  4. compressive deformation

Answer: C) tensile deformation

Explanation: The spring is extended. SLO P-11-B-23 · Understanding

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83. When a rubber band is loaded and unloaded, the area between the loading and unloading curves (hysteresis loop) represents:

  1. the extension
  2. energy converted to heat in the rubber
  3. energy stored permanently
  4. the Young modulus

Answer: B) energy converted to heat in the rubber

Explanation: Rubber warms up after repeated stretching. SLO P-11-B-27 · Application

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84. Tensile forces on a rod act:

  1. inward, pushing the ends together
  2. sideways across it
  3. outward along its length, pulling the ends apart
  4. at the centre only

Answer: C) outward along its length, pulling the ends apart

Explanation: Two equal and opposite outward forces. SLO P-11-B-23 · Understanding

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85. A wire of length 2.0 m and area 2.0 10^-7 m^2 gives a load–extension gradient of 2.0 10^4 N/m. Its Young modulus is:

  1. 2.0 10^-3 Pa
  2. 8.0 10^11 Pa
  3. 1.0 10^11 Pa
  4. 2.0 10^11 Pa

Answer: D) 2.0 10^11 Pa

Explanation: Y = klA = 2.0 10^4 2.02.0 10^-7 = 2.0 10^11 Pa. SLO P-11-B-25 · Understanding

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86. A toy gun's spring (k = 800 N/m) is compressed 0.05 m and launches a 20 g ball. Ignoring losses, the ball's speed is:

  1. 10 m/s
  2. 20 m/s
  3. 5 m/s
  4. 14.1 m/s

Answer: A) 10 m/s

Explanation: 12kx^2 = 12mv^2 Rightarrow v = x km = 10 m/s. SLO P-11-B-28 · Application

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87. A wire of length 1 m and cross-section 2 10^-6 m^2 extends by 1.25 mm under 500 N. The Young modulus is:

  1. 2 10^11 Pa
  2. 2 10^12 Pa
  3. 2 10^10 Pa
  4. 4 10^11 Pa

Answer: A) 2 10^11 Pa

Explanation: Y = F/Ae/l = FlAe = 2 10^11 Pa. SLO P-11-B-24 · Application

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88. The SI unit of the Young modulus is:

  1. pascal (N/m^2)
  2. joule
  3. newton
  4. no unit

Answer: A) pascal (N/m^2)

Explanation: Stress has the unit Pa; strain has none. SLO P-11-B-24 · Application

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89. Two wires of the same material, one twice as thick (diameter) as the other, carry the same load. The thick wire's stress is:

  1. one quarter of the thin wire's
  2. the same
  3. double
  4. half

Answer: A) one quarter of the thin wire's

Explanation: Area propto d^2. SLO P-11-B-24 · Application

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90. A rubber band that goes back to its original length after being stretched has undergone:

  1. elastic deformation
  2. creep
  3. fracture
  4. plastic deformation

Answer: A) elastic deformation

Explanation: It recovered fully. SLO P-11-B-26 · Understanding

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91. Kinks in the wire are removed before readings by:

  1. hanging a small initial load on it
  2. painting it
  3. cutting it shorter
  4. heating it

Answer: A) hanging a small initial load on it

Explanation: A starting load straightens the wire. SLO P-11-B-25 · Understanding

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92. The extension in the experiment is measured with:

  1. an ammeter
  2. a metre rule
  3. a vernier scale (or micrometer) attached to the wires
  4. a protractor

Answer: C) a vernier scale (or micrometer) attached to the wires

Explanation: Extensions are fractions of a millimetre. SLO P-11-B-25 · Understanding

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93. Short-range order (but no long-range order) is characteristic of:

  1. amorphous solids
  2. crystalline solids
  3. metals
  4. single crystals

Answer: A) amorphous solids

Explanation: Neighbours are arranged, but not over long distances. SLO P-11-B-22 · Understanding

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94. Which property is typical of crystalline solids but not amorphous ones?

  1. random arrangement of atoms
  2. gradual softening
  3. no fixed shape
  4. properties that can differ with direction (anisotropy)

Answer: D) properties that can differ with direction (anisotropy)

Explanation: e.g. a crystal cleaves along planes. SLO P-11-B-22 · Understanding

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95. Rubber can be stretched a lot because:

  1. its atoms are in a rigid lattice
  2. it is a metal
  3. its coiled polymer chains straighten out
  4. it has no bonds

Answer: C) its coiled polymer chains straighten out

Explanation: Releasing the force lets the chains coil up again. SLO P-11-B-22 · Understanding

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96. Polythene, nylon and PVC are examples of:

  1. polymers
  2. crystals of metal
  3. glasses
  4. ionic crystals

Answer: A) polymers

Explanation: Man-made polymers (plastics). SLO P-11-B-22 · Understanding

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97. If a spring's extension is tripled (within Hooke's law), the energy stored becomes:

  1. 3 times
  2. unchanged
  3. 9 times as large
  4. 6 times

Answer: C) 9 times as large

Explanation: E propto x^2. SLO P-11-B-28 · Application

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98. The elastic limit is:

  1. the point at which it breaks
  2. the same as the Young modulus
  3. the greatest stress a material can take and still return to its original shape
  4. the stress at zero strain

Answer: C) the greatest stress a material can take and still return to its original shape

Explanation: Beyond it, deformation is permanent. SLO P-11-B-26 · Understanding

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99. Which statement is correct?

  1. The elastic limit is the breaking point
  2. The elastic limit is usually at or just beyond the limit of proportionality
  3. The elastic limit is always zero
  4. Plastic deformation comes before elastic

Answer: B) The elastic limit is usually at or just beyond the limit of proportionality

Explanation: For many metals they are very close. SLO P-11-B-26 · Understanding

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100. Glass is described as an amorphous solid because:

  1. it is made of long polymer chains
  2. its particles have no long-range order
  3. it is a metal
  4. it has a regular lattice

Answer: B) its particles have no long-range order

Explanation: Amorphous means 'without form'. SLO P-11-B-22 · Understanding

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