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WAEC Physics 1997 past questions

Ten questions from the 1997 WAEC Physics paper, with answers and explanations. We hold 43 questions from this paper, and the Skolra app has all of them.

WAEC Physics 1997 questions and answers

  1. 1.The half-life of a radioactive material is 6hrs. What quantity of 1kg of the material would decay in 24 hours?
    1. A
      15/16 kg
      Correct
    2. B
      1/16 kg
    3. C
      3/4 kg
    4. D
      1/4 kg
    Show answerHide answer

    Answer: A

    Number of half-lives in 24 hours: n = 24 / 6 = 4

    Amount remaining = (1/2)4 × 1 kg = 1/16 kg

    Amount decayed = 1 − 1/16 = 15/16 kg

  2. 2.The ratio of tensile stress to tensile strain is known as
    1. A
      modulus of rigidity
    2. B
      Young's modulus
      Correct
    3. C
      bulk modulus
    4. D
      modulus of elasticity
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    Answer: B

    Young's modulus (E) is defined as the ratio of tensile stress to tensile strain within the elastic limit of a material:

    E = (tensile stress) / (tensile strain) = (F/A) / (ΔL/L)

    It measures the stiffness of a solid material along an axis.

  3. 3.A solid material of volume 100 cm^-3 is heated through a temperature difference of 40°C. Calculate the increase in the volume of the material if its linear expansitivity is 2 x 10^-6 K^-1
    1. A
      9.6 × 10⁻² cm³
    2. B
      2.4 × 10⁻² cm³
      Correct
    3. C
      4.8 × 10⁻² cm³
    4. D
      8.0 × 10⁻³ cm³
    Show answerHide answer

    Answer: B

    The cubic (volumetric) expansivity γ = 3α:

    γ = 3 × 2 × 10⁻⁶ = 6 × 10⁻⁶ K⁻¹

    ΔV = γVΔT
    ΔV = 6 × 10⁻⁶ × 100 × 40
    ΔV = 2.4 × 10⁻² cm³

  4. 4.The invisible part of the spectrum of a white light consists of the following colors
    1. A
      violet and red
    2. B
      ultraviolet and infrared
      Correct
    3. C
      gamma rays and X-rays
    4. D
      blue and green
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    Answer: B

    When white light is dispersed into a spectrum, the visible range extends from red to violet (ROYGBIV).

    Beyond the red end lies infrared radiation, and beyond the violet end lies ultraviolet radiation. Both are invisible to the human eye and represent the invisible extensions of the white light spectrum.

  5. 5.An object falls freely from a height of 25m onto the roof a building 5m high. Calculate the velocity with which the object strikes the roof (g=10 ms^-2)
    1. A
      15 m s⁻¹
    2. B
      25 m s⁻¹
    3. C
      20 m s⁻¹
      Correct
    4. D
      10 m s⁻¹
    Show answerHide answer

    Answer: C

    The object falls from 25 m height onto a roof at 5 m height, so the effective fall distance is 25 − 5 = 20 m.

    Using v² = u² + 2gs (u = 0, g = 10 m s⁻², s = 20 m):
    v² = 0 + 2 × 10 × 20 = 400
    v = 20 m s⁻¹

  6. 6.Which of the following is not true of the similarities between a camera and the human eye?
    1. A
      Both have an aperture to control the amount of light entering
    2. B
      Both form a real inverted image on a receiving surface
    3. C
      In both, focusing is achieved by changing the curvature of the lens
      Correct
    4. D
      Both use a convex (converging) lens to form an image
    Show answerHide answer

    Answer: C

    The camera focuses by moving the lens towards or away from the film, keeping the lens curvature fixed.

    The human eye focuses (accommodation) by the ciliary muscles changing the curvature of the flexible crystalline lens.

    Therefore, option C is not a true similarity — it describes only the eye's mechanism, not the camera's.

  7. 7.Which of the following explains why a thick glass cup cracks when boiling water is poured into it?
    1. A
      boiling water has a lower density than cold water
    2. B
      glass expands uniformly throughout its thickness when heated
    3. C
      the inner surface expands faster than the outer surface because glass is a poor conductor of heat
      Correct
    4. D
      glass has a very high specific heat capacity
    Show answerHide answer

    Answer: C

    Glass is a poor conductor of heat. When boiling water is poured in, the inner surface heats up and expands rapidly while the outer surface remains relatively cool and unexpanded. This differential expansion creates internal stress that exceeds the tensile strength of the glass, causing it to crack.

  8. 8.Steel bars each of length 3m at 28°C are to be used for constructing a rail line. If the linear expansitivity of the steel is 1 x 10^-5 K^-1, what is the safety gap that must be left between the successive bars if the highest temperature expected is 40°C?
    1. A
      1.2 × 10⁻⁴ m
    2. B
      4.8 × 10⁻⁴ m
    3. C
      2.4 × 10⁻⁴ m
    4. D
      3.6 × 10⁻⁴ m
      Correct
    Show answerHide answer

    Answer: D

    The safety gap equals the thermal expansion of each bar:

    ΔL = αLΔT
    ΔL = 1 × 10⁻⁵ × 3 × (40 − 28)
    ΔL = 1 × 10⁻⁵ × 3 × 12
    ΔL = 3.6 × 10⁻⁴ m

  9. 9.A missile weighing 400N on the earth surface is shot into the atmosphere to an altitude of 6.4 x 10^-6 m. Taking the earth as a sphere of radius 6.4 x 10^-6 m and assuming the inverse-square law of universal gravitation, what would be the weight of the missile at that altitude?
    1. A
      200 N
    2. B
      100 N
      Correct
    3. C
      400 N
    4. D
      50 N
    Show answerHide answer

    Answer: B

    By the inverse-square law of gravitation, if the altitude h equals the Earth's radius R, the distance from the Earth's centre becomes 2R.

    W' = W × (R / (R + h))²
    W' = 400 × (R / 2R)²
    W' = 400 × (1/2)²
    W' = 400 × 1/4
    W' = 100 N

  10. 10.The current in the primary coil of a transformer is 2.5A. If the coil has 50 turns and the secondary 250 turns, calculate the current in the secondary coil.
    1. A
      0.5 A
      Correct
    2. B
      12.5 A
    3. C
      2.5 A
    4. D
      1.0 A
    Show answerHide answer

    Answer: A

    For an ideal transformer, the ratio of currents is inversely proportional to the ratio of turns:

    I₁N₁ = I₂N₂

    I₂ = I₁ × (N₁/N₂) = 2.5 × (50/250) = 2.5 × 0.2 = 0.5 A

The questions come from past JAMB, WAEC and NECO papers. We use software to help write the answer options and explanations, and every answer is checked twice before it goes on the site. How we check

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