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Deformation of Solids MCQs — Physics (page 5)

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.

101. The diameter of the test wire is best measured with:

  1. a vernier caliper once
  2. a metre rule
  3. a measuring tape
  4. a micrometer screw gauge, at several places

Answer: D) a micrometer screw gauge, at several places

Explanation: The diameter is small (≈ 0.5 mm) and is squared, so precision matters. SLO P-11-B-25 · Understanding

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102. In the Searle's (two-wire) Young modulus experiment, a second reference wire is used to:

  1. double the load
  2. measure the diameter
  3. provide electrical current
  4. cancel the effects of temperature changes and sagging of the support

Answer: D) cancel the effects of temperature changes and sagging of the support

Explanation: Both wires change equally, so only the load's extension is measured. SLO P-11-B-25 · Understanding

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103. A wire of length 3 m is extended by 4.5 mm. The strain is:

  1. 0.0015
  2. 667
  3. 1.5
  4. 0.003

Answer: A) 0.0015

Explanation: Strain = el = 0.00453 = 0.0015 (no unit). SLO P-11-B-24 · Application

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104. A spring's force rises linearly from 20 N at extension 0.1 m to 50 N at 0.25 m. The work done over this range is:

  1. 5.25 J
  2. 7.5 J
  3. 2.62 J
  4. 10.5 J

Answer: A) 5.25 J

Explanation: Area of the trapezium = 12(20 + 50)(0.25 - 0.1) = 5.25 J. SLO P-11-B-27 · Application

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105. A brittle material such as glass:

  1. never breaks
  2. shows large plastic deformation
  3. breaks soon after its elastic limit with little plastic deformation
  4. stretches like rubber

Answer: C) breaks soon after its elastic limit with little plastic deformation

Explanation: Cracks spread quickly. SLO P-11-B-26 · Understanding

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106. Plastic deformation is deformation in which the material:

  1. does not return to its original shape when the force is removed
  2. always returns to its original shape
  3. is unaffected
  4. becomes stronger only

Answer: A) does not return to its original shape when the force is removed

Explanation: e.g. bending a paper clip. SLO P-11-B-26 · Understanding

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107. The area under a force–extension graph represents:

  1. the work done in stretching the material
  2. the stress
  3. the Young modulus
  4. the stiffness

Answer: A) the work done in stretching the material

Explanation: W = int F,de, the area under the graph. SLO P-11-B-27 · Application

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108. Which quantity contributes the largest percentage uncertainty in the experiment?

  1. the length of the wire
  2. the diameter of the wire (it is squared)
  3. the mass of the loads
  4. the value of g

Answer: B) the diameter of the wire (it is squared)

Explanation: Small value, measured to ±0.01 mm, then doubled in % by squaring. SLO P-11-B-25 · Understanding

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109. Why should the wire not be loaded beyond its elastic limit?

  1. it would become shorter
  2. the Young modulus would double
  3. it would be permanently stretched and the readings invalid
  4. the micrometer would break

Answer: C) it would be permanently stretched and the readings invalid

Explanation: Hooke's law no longer holds. SLO P-11-B-25 · Understanding

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110. A wire of diameter 1 mm carries a load of 100 N. The stress in the wire is:

  1. 2.55 10^8 Pa
  2. 5.09 10^8 Pa
  3. 3.18 10^7 Pa
  4. 1.27 10^8 Pa

Answer: D) 1.27 10^8 Pa

Explanation: A = pi r^2 = pi(5 10^-4)^2 = 7.85 10^-7 m^2; sigma = F/A = 1.27 10^8 Pa. SLO P-11-B-24 · Application

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