Physics JAMB, WAEC, NECO AND NABTEB Official Past Questions

1

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You are provided with a battery of e.m.f. E, a key K, a voltmeter, a standard resistor R\(_{0}\) = 2\(\Omega\), a resistance box R, and some connecting wires.

i. Measure and record the e.m.f. E of the battery.

i. Set up a circuit as shown in the diagram above with the key open.

iii. Set the resistance on the resistance box to R 22.

iv. Close the key, read and record the potential difference on the voltmeter.

v. Evaluate V\(^{-1}\)

vi. Repeat the procedures for five other values of R = 5\(\Omega\) 10\(\Omega\),12\(\Omega\),15\(\Omega\) and 20\(\Omega\). In each case, record V and evaluate V\(^{-1}\) 

vii. Tabulate the results.

viii. Plot a graph with R on the vertical axis and V\(^{-1}\) l on the horizontal axis, starting both axes from the origin (0,0).

ix. Determine the slope, s, of the graph and the intercept c on the vertical axis.

x. Calculate \(\propto\) and \(\beta\) from the equations s = R\(_{0}\) \(\propto\) and c= – (R\(_{0}\)+B).

xi. State two precautions taken to obtain accurate results. 

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2

You are provided with a converging lens and holder, a screen, a ray box containing an illuminated object pin, and a meter rule.(See illustration above)

i. Place the lens in its holder such that it is facing a distant object seen through a well-lit laboratory window. Move the screen to and fro until a sharp image of the distant object is formed on it. Measure the distance, f\(_{0}\), between the screen and the lens.

ii. Clamp the meter rule securely to the table. Place the illuminated object pin at the end R of the meter rule.

iii. Place the lens at a position P such that X = RP = 20cm.

iv. Move the screen to a position Q to receive a sharp image of the object. Measure the distance Y = PQ.

v. Evaluate Z = (X+Y)

vi. Repeat the procedure for five other values of x = 25cm. 3Ocm, 35cm, 40cm and 45cm. In each case, record X,Y and evaluate Z.

vii. Tabulate the results.

viii. Plot a graph with Z on the vertical axis and X on the horizontal axis. Draw a smooth curve through the points.

ix. Determine from your graph the minimum value of Z=Z\(_{0}\) and its corresponding distance

x. Evaluate W = ½ (\(\frac{Z_0}{4} + \frac{X_0}{2}\))

xi. State two precautions taken to ensure accurate results.

(b) i. Draw a ray diagram to show how a Convex lens forms an image of magnification less than one.

ii. Name two pairs of features in the human eye and a lens camera that performs similar functions.

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3

 

You are provided with a stopwatch, a meter rule, a split cork, retort stand and clamp, a pendulum bob, a piece of thread, and other necessary apparatus.

i. Place the retort stand on a laboratory stool. Clamp the split cork.

ii. Suspend the pendulum bob from the split cork such that the point of support P of the bob is at height = 100cm above the floor Q. The bob should not touch the floor and H should be kept constant throughout the experiment.

iii. Adjust the length of the thread such that the center A of the bob is at a height y= AQ= 20cm from the floor.

iv. Displace the bob such that it oscillates in a horizontal plane.

v. Take the time t for 20 complete oscillations.

vi. Determine the period T of oscillation and evaluate T

vii. Repeat the procedure for four other values of y = 30cm, 40cm, 50cm, and 60cm. In each case, determine T and T.

viii. Tabulate the results.

ix. Plot a graph of T on the vertical axis and y on the horizontal axis, starting both axes from the origin (0,0).

x. Determine the slope, s, of the graph and the intercept c on the vertical axis.

xi. If in this experiment SR= c, calculate R.

x. State two precautions taken to ensure accurate results.

(b) i. The bob of a simple pendulum is displaced a small distance from the equilibrium position and then released to perform simple harmonic motion Identify where its:
(\(\propto\)) kinetic energy is maximum
(\(\beta\)) acceleration is maximum

ii. An object of weight 120N vibrates with a period of 4.0s when hung from a spring. Calculate the force per unit length of the spring. [g= 10ms\(^{-2}\), \(\pi\)=3.142]

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4

(a) (i) Define atomic spectra.
(ii) Differentiate between emission spectra and absorption spectra.

(b)

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The diagram above illustrates an electron transition from energy level n = 3 to n = 1. Calculate the:

(i) energy of the photon

(ii) frequency of the photon

(ii) wavelength of the photon [h = 6.6 x 10\(^{-34}\)J s, c = 3.0 x 10\(^8\) ms\(^{-1}\); 1 ev = 1.6 x 10\(^{-19}\) J]

 

c)(i)Differentiate between soft x-rays and hard x-rays                                                                                                                                                                                       

(ii) Draw the circuit symbol for a p-n junction diode.                                                                                                                                                                                       

(iiii) Give the reason for doping a semiconductor material

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5

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The graph above illustrates the variation of temperature \(\theta\) with time (t) for a solid that is being heated. Which processes take place at segments P and Q respectively?
 

  • A. Freezing and vaporization
  • B. Evaporation and solidification
  • C. Melting and boiling
  • D. Condensation and evaporation
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6

When ultraviolet light is incident on certain metallic p articles are emitted. These particles are called

  • A. positrons
  • B. protons
  • C. photoelectrons
  • D. photons
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7

Which of the following properties is not exhibited by sound waves?

  • A. Diffraction
  • B. Polarization
  • C. Interference
  • D. Reflection
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8

Which of the following statements about a neutral atom is correct? The

  • A. core is composed of electrons and protons
  • B. number of electrons is equal to that of neutron
  • C. number of neutrons is equal to that of protons
  • D. number of protons is equal to that of electrons.
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9

The area under a velocity-time graph represents

  • A. speed
  • B. acceleration
  • C. moment
  • D. distance
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10

An instrument used to measure relative humidity is the?

  • A. hygrometer
  • B. hydrometer
  • C. pyrometer
  • D. manometer
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11

The nucleon and proton numbers of a neutral atom of an element are 238 and 92 respectively. Determine the number of neutrons in the atom. 

  • A. 119
  • B. 330
  • C. 165
  • D. 146
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12

Which of the following liquids has the highest surface tension?
 

  • A. Soapy water
  • B. Cold water
  • C. Hot water
  • D. oily water
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13

Which of the following materials does not serve as a safety device in electrical circuits? 
 

  • A. Connecting wires
  • B. Earth wire
  • C. Fuse
  • D. Switch
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14

 

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In the diagram above, the time taken to trace a wave between P and Q is?

  • A. 2 periods
  • B. 1 period
  • C. 1\(\frac{1}{2}\) periods
  • D. 1\(\frac{1}{4}\) periods
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15

Which of the following thermometers is used to measure the temperature of the human body?

  • A. Thermocouple
  • B. Alcohol-in-glass thermometer
  • C. Gas thermometer
  • D. Platinum resistance thermometer
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16

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The diagram above illustrates an object moving in a circular path at a constant speed. Which of the arrows indicates the direction of linear velocity?

  • A. z
  • B. X
  • C. Y
  • D. W
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17

Two bodies of masses 3.0 kg and 2.0 kg are separated by a distance of 50 cm. Calculate the force of attraction between them. [G = 6.67 x 10\(^{-11}\) Nm\(^2\) kg\(^2\)]

  • A. 1.6 x 10\(^{-9}\)N
  • B. 1.3 x 10\(^{3}\)N
  • C. 2.3 x 10\(^{3}\)N
  • D. 5.0x 10\(^{3}\)N
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18

A rectangular piece of iron measuring 4 cm by 3 cm at 20\(^o\)C is heated until its temperature increases by 100 C. Calculate the new area of the metal. [Linear expansivity of iron is 1.2x 10\(^{-5}\) K\(^{-1}\)]

  • A. 12.0144 cm\(^3\)
  • B. 12.0346 cm\(^3\)
  • C. 12.0288 cm\(^3\)
  • D. 12.0173 cm\(^3\)
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19

A ray of light traveling from a rectangular glass block of refractive index 1.5 into air strikes the block at an angle of incidence of 30. Calculate its angle of refraction.

  • A. 48.6°
  • B. 19.5°
  • C. 20.0
  • D. 45.0
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20

The anomalous expansion of water occurs in the range 
 

  • A. 0 °C to 100 °C
  • B. 0 °C to 4 °C
  • C. 4 °C to 100 C
  • D. -4 °C to 0 °C
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21

Which property of a wave remains constant when the wave travels from one medium into another?
 

  • A. Amplitude
  • B. Wavelength
  • C. Velocity
  • D. Frequency
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