Lesson 3.4.2.2

3.4.2.2 The Young modulus Quiz: AQA Physics, Unit 4

20 questions

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Lesson 3.4.2.2, The Young modulus: 20 multiple choice questions for the AQA Physics (7408), Unit 4: Mechanics and materials, written with Revision Ninja.

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The 20 questions

  1. What is the Young modulus of a material defined as?

    • Stress divided by strain
    • Force divided by area
    • Force divided by length
    • Strain divided by stress

  2. What is the SI unit for the Young modulus?

    • Pascal
    • Newton per metre
    • Joule
    • Newton

  3. Which feature of a stress-strain graph gives the Young modulus of a material?

    • The y-intercept
    • The gradient
    • The area under
    • The peak value

  4. For a fixed stress, what happens to strain if Young modulus increases?

    • Unchanged strain
    • Zero strain
    • Larger strain
    • Smaller strain

  5. The Young modulus depends strictly on which property of a tested wire?

    • Sample mass
    • Wire length
    • Material type
    • Cross-sectional area

  6. Which expression gives the Young modulus in terms of force F, original length L, area A and extension delta L?

    • E = F delta L / (A L)
    • E = F A / (L delta L)
    • E = F L / (A delta L)
    • E = A L / (F delta L)

  7. Why is tensile strain classified as a dimensionless quantity?

    • Constant value
    • Ratio of lengths
    • Ratio of forces
    • Ratio of areas

  8. A wire of length 2.0 m and cross-sectional area 1.0 mm^2 is stretched by 0.50 mm by a 100 N force. What is its Young modulus?

    • 4.0 x 10^9 Pa
    • 4.0 x 10^13 Pa
    • 2.5 x 10^11 Pa
    • 4.0 x 10^11 Pa

  9. A material has tensile stress 2.0 x 10^7 Pa and tensile strain 1.0 x 10^-3. What is its Young modulus?

    • 5.0 x 10^-11 Pa
    • 2.0 x 10^4 Pa
    • 2.0 x 10^13 Pa
    • 2.0 x 10^10 Pa

  10. A stress-strain line passes through the origin and the point (strain 0.0008, stress 1.6 x 10^8 Pa). What is the Young modulus?

    • 2.0 x 10^11 Pa
    • 1.6 x 10^8 Pa
    • 8.0 x 10^10 Pa
    • 1.3 x 10^11 Pa

  11. A material with stress 2.0 x 10^7 Pa and strain 1.0 x 10^-3 stores energy per unit volume equal to 0.5 x stress x strain. What is this energy density?

    • 1.0 x 10^3 J m^-3
    • 2.0 x 10^4 J m^-3
    • 1.0 x 10^4 J m^-3
    • 4.0 x 10^10 J m^-3

  12. A wire of length 3.0 m has Young modulus 2.0 x 10^11 Pa and is under a stress of 1.0 x 10^8 Pa. What is its extension?

    • 1.5 mm
    • 0.15 mm
    • 15 mm
    • 6.7 mm

  13. A wire has twice the length and half the area of another. What is its extension ratio?

    • Two times
    • Eight times
    • Half
    • Four times

  14. Which instrument is used to measure the diameter of a wire in Young modulus experiments?

    • Metre ruler
    • Vernier callipers
    • Top-pan balance
    • Micrometer

  15. A metal has a linear stress-strain region with stress 35 MPa at strain 0.00050. What is its Young modulus?

    • 7.0 x 10^10 Pa
    • 7.0 x 10^7 Pa
    • 1.4 x 10^10 Pa
    • 7.0 x 10^12 Pa

  16. A wire 1.5 m long and 0.80 mm in diameter extends by 0.60 mm under a 50 N force. What is its Young modulus?

    • 2.5 x 10^11 Pa
    • 2.0 x 10^11 Pa
    • 5.0 x 10^10 Pa
    • 2.5 x 10^9 Pa

  17. A wire obeying Hooke's law has E = 2.0 x 10^11 Pa, A = 1.0 x 10^-6 m^2, L = 2.0 m, and is stretched by 1.0 mm. What energy is stored?

    • 5 J
    • 0.05 J
    • 0.1 J
    • 0.025 J

  18. Why is a long wire used when determining the Young modulus of a metal?

    • Gives larger extension
    • Reduces applied stress
    • Increases mass density
    • Increases total strength

  19. Material P has E = 2.0 x 10^11 Pa and material Q has E = 7.0 x 10^10 Pa. Under the same tensile stress, what is the ratio of strain in Q to strain in P?

    • about 2.9
    • about 3.5
    • about 2.0
    • about 0.35

  20. Which measurement error would cause a student to calculate a lower Young modulus value?

    • Underestimating diameter
    • Overestimating diameter
    • Overestimating length
    • Underestimating extension

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