1

Open Photo

  1.  Measure and record the length XY of the resistance wire provided.
  2. Connect the circuit shown in the diagram.
  3. With R= O\(\Omega\), close the key, K. Read and record the current 1\(_{o}\) and the voltage drop V\(_{o}\) across the resistance wire.
  4. Setting R = 1\(\Omega\). close the key. Read and record the current, I, and the corresponding voltage drop, V across the wire.
  5. Repeat the procedure for five other values of R= 5, 10, 20, 40, and 60\(\Omega\). Tabulate your readings.
  6. Plot a graph of V on the vertical axis against 1 on the horizontal axis.
  7. Determine the slope of the graph
  8. State two precautions taken to ensure accurate results.

(b)i. Mention and state the law on which the experiment in (a) is based.

ii. A piece of resistance vire of diameter 0.2 mm and resistance m has a resistivity of 8.8 x 10\(^{-7}\)\(\Omega\)m, calculate the length of the Wire. [\(\pi\) =\(\frac{22}{7}\)]

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2

Open Photo

Using the diagram as a guide, carry out the following instructions:

  1. Fix a plain sheet of paper on the drawing board.
  2. Place the rectangular glass prism on the paper and trace its outline, ABCD. Remove the prism.
  3. Draw a normal NMP to meet AB and DC at M and P respectively such that |AM| =|DP| = 2.0cm.
  4. Trace the ray PQ with two pins, P\(_{1}\), and P\(_{2}\), at P and Q respectively such that angle MPQ = i = 5ΒΊ.
  5. Replace the prism on its outline. Trace the emergent ray with two other pins P\(_{3}\) and P\(_{4}\) such that they lie in a straight line with P\(_{2}\) and the image of P\(_{1}\) viewed through the glass prism.
  6. Measure and record \(\theta\), the angle between the emergent ray and the face AB of the glass prism.
  7. Evaluate cos \(\theta\) and sin i.
  8. Repeat the procedure for four other values of i= 10Β°, 15Β°, 20Β°, and 25Β°. Tabulate your readings.
  9. Plot a graph of cos \(\theta\) on the vertical axis against sin i on the horizontal axis.
  10. Determine the slope of the graph.
  11. State two precautions taken to ensure accurate results.  Attach your traces to your answer booklet

(b)i. State the laws of refraction of light.

ii. Explain what is meant by the statement the refractive index of a material is 1.65.

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3

A nuclide X is produced by bombarding a nitrogen(N) nucleus with an alpha(\alpha\) particle with the release of heavy hydrogen(D) nucleus as shown by the following nuclear equation, \(\alpha + ^{14}_{7}N \to ^p_qX + ^2_1D\). Determine the values of p and q in the equation

  • A. 12 and 6
  • B. 14 and 7
  • C. 16 and 8
  • D. 19 and 8
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4

Which of the following materials is used to control the rate of neutron production in a nuclear reactor?

  • A. boron rods
  • B. concrete shield
  • C. graphite rods
  • D. uranium rods
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5

Which of the following is usually used to cause fission in an atomic reactor?

  • A. Alpha particles
  • B. beta particles
  • C. electrons
  • D. Neutrons
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6

If a radioactive atom emits a beta particle, Its mass number

  • A. increases by one
  • B. remains the same
  • C. decreases by one
  • D. increases by two
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7

In a model of the hydrogen atom, the energy levels Wn are given by the formula Wn = -\(\frac{R}{n^2}\), where n is an integer and R is a constant. Determine the energy released in the transition from n = 3 to n = 2.

  • A. \(\frac{R}{5}\)
  • B. -\(\frac{R}{4}\)
  • C. \(\frac{5R}{36}\)
  • D. \(\frac{-5R}{36}\)
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8

Calculate the inductance L, of the coil in the circuit diagram shown above

  • A. 3.8H
  • B. 0.6H
  • C. 0.4H
  • D. 0.2H
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9

A freely-suspended magnet swinging in a horizontal plane comes to rest with its axis pointing approximately

  • A. north-south
  • B. south-west
  • C. north-east
  • D. south-east
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10

A transformer has 400 turns and 200 turns in the primary and secondary windings respectively. If the current in the primary and secondary windings are 3A and 5A respectively. calculate the efficiency of the transformer?

  • A. 85.0%
  • B. 83.3%
  • C. 37.5%
  • D. 30.0%
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11

Which of the following actions will not lead to an increase in the induced e.m.f. in a coil of wire rotating between the poles of a magnet? Increasing the

  • A. strength of the magnet
  • B. number of turns in the coil
  • C. speed of location in the coil
  • D. gap between the poles of the magnet
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12

The lead-acid accumulator consists of a

  • A. lead as the positive electrode
  • B. lead ocide as the negative electrode
  • C. hydrochloric acid as the electrolyte
  • D. tetraoxosulphate(VI) acid as the electrolyte
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13

Local actions is normally prevented in a simple electric cell by

  • A. introducing an oxidizing agent in the acid
  • B. not drawing current continously for long period
  • C. amalgamating the surface of the zinc plate
  • D. using a porous pot to isolate the zinc plate from the acid
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14

The magnitude of the gravitational attraction between the earth and a particle is 40N. If the mass of the particle is 4kg. Calculate the magnitude of the gravitational field intensity of the earth on the particle

  • A. 10.0N kg-1
  • B. 12.6N kg-1
  • C. 25.0N kg-1
  • D. 160.0N kg-1
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15

Two spheres of masses 100kg and 90kg respectively have their centres separated by a distance of 1.0m. Calculate the magnitude of the force of attraction between them. [G = 6.70 x 10-11Nm-2kg-2]

  • A. 6.70 x 10-11N
  • B. 6.70 x 10-10N
  • C. 6.03 x 10-11N
  • D. 6.03 x 10-7N
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16

Three capacitors each of capacitance 18\(\mu F\) are connected in series. Calculate the effective capacitance of the capacitors

  • A. 54.00\(\mu F\)
  • B. 18.00\(\mu F\)
  • C. 6.00\(\mu F\)
  • D. 0.17\(\mu F\)
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17

Which of the following items can be used to compare the relative magnitudes of electric charges on two bodies?

  • A. ebonite rod
  • B. gold leaf electroscope
  • C. proof plane
  • D. the electrophorus
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18

Which of the following actions will not cause an increase in the frequency of a vibrating string?

  • A. increasing the tension of the string
  • B. decrease the mass per unit lengthof the string
  • C. decrease the length of the string
  • D. increasing the cross sectional area of the string
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19

Which of the following instruments is not a wind instrument?

  • A. clarinet
  • B. saxophone
  • C. trumpet
  • D. xylophone
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20

When two notes of nearly equal frequencies are sounded together, a periodic rise and fall in sound intensity can be heard. This phenomenon can be called

  • A. beats
  • B. diffraction
  • C. overtones
  • D. resonance
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21

A pulse of a sound is transmitted from a ship and the reflection from the sea bed is recorded after 0.2s. Calculate the depth of the sea. [Take speed of sound in sea water = 1560ms-1]

  • A. 312.0m
  • B. 156.0m
  • C. 78.0m
  • D. 31.2m
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