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WAEC Physics 2009

1. In which of the following states of matter do the molecules vibrate about their mean positions?
• A. liquids only
• B. solids only
• C. liquids and gasses only
• D. solids, liquids and gases

2. Which of the following properties of a steel bar can be measured in terms of the dimension of length only?
• A. weight
• B. density
• C. pressure
• D. volume

3. In a hydraulic press, a force of 40N is applied to the smaller priston of area 10cm2. If the area of the larger piston is 200cm2, calculate the force obtained
• A. 800N
• B. 500N
• C. 80N`
• D. 50N

4. A body of volume 0.046m3 is immersed in a liquid of density 980kgm-3 with 34
of its volume submerged. Calculate the upthrust on the body. [g = 10ms-2]
• A. 11.27N
• B. 33.81N
• C. 112.70N
• D. 338.10N

5. Which of the following types of types of motion will be produced when a pair of equal and opposite non-collinear parallel forces acts on a body?
• A. vibrational motion
• B. random motion
• C. translational motion
• D. rotational motion

6. A body moving in a circle at constant speed has i. a velocity tangent to the circle ii. a constant kinetic energy ii. an acceleration directed towards the circmference of the circle ii. an acceleration directed towards the circumference of the circle. Which of the statements above are correct?
• A. i and ii only
• B. ii and iii
• C. ii and iii only
• D. i and iii only

7. A car moves with a speed of 30ms-1. Calculate the distance travelled in 30s
• A. 30m
• B. 60m
• C. 450m
• D. 900m

8. A moving body accelerates when it
• A. changes its direction at constant speed
• B. mauntains a constant linear speed
• C. covers equal distances in equal times in a straight line
• D. is acted upon by balanced forces

9. The following properties of a solid are measured on earth i. weight ii. specific heat capacity iii. density. Which of the properties will hav a different value if measured in space?
• A. i only
• B. ii only
• C. iii only
• D. ii and iii only

10. Which of the vector diagrams below represents the following position vectors

• A.
• B.
• C.
• D.

11. Two forces 6N and 8N, act eastwards and northwards respectively on a body. Calculate the magnitude of their equilibrant
• A. 2N
• B. 7N
• C. 10N
• D. 14N

12. The period of a simple pendulum of length 80.0cm was found to have doubled when the length of the pendulum was increased by X. Calculate X.
• A. 26.7cm
• B. 40.0cm
• C. 160.0cm
• D. 240.0cm

13. A body of mass 5kg movimg with a velocity of 30ms-1 due east is suddenly hit by another body and changes its velocity to 50ms-1 in the same direction. Calculate the magnitude of the impulse received.
• A. 100Ns
• B. 150Ns
• C. 250Ns
• D. 400Ns

14. Electric energy is measured in
• A. ampere
• B. coulomb
• C. kilowatt-hour
• D. kilowatt

15. A stone of mass 0.5kg is dropped from a height of 12m. Calculate its maximum kinetic energy. [g = 10ms-1]
• A. 3.0J
• B. 6.0J
• C. 30.0j
• D. 60.0J

16. A machine of efficiency 80% is used to lift a box. If the effort applied by the machine is twice the weight of the box. Calculate the velocity ratio of the machine
• A. 0.50
• B. 0.63
• C. 0.80
• D. 1.60

17. A faulty thermometer registers 102.5oC t 100oC. If the thermometer has no zero hour, what will it register at 55oC?
• A. 54.6oC
• B. 55.0oC
• C. 56.0oC
• D. 56.4oC

18. A rod of initial lenght 2m at a temperature of 25oC is heated to 80oC. Calculate the increase in length of the rod if its linear expansivity is 4.0 x 10-3K-1
• A. 0.26m
• B. 0.44m
• C. 0.53m
• D. 0.84m

19. as a bicycle Tyre was being pumped up, it was noticed that contrary to Boyle’s law the volume increased as the pressure increased. The best explanation of this is that Boyle’s law is only true for
• A. ideal gases
• B. a fixed mass of gas
• C. a mixture of gases
• D. a gas at variable temperature

20. It takes 4 minutes to boil a quantity of water using an electrical heating coil. How long will it take to boil the same quantity of water using the same coil if the current is doubled? [Neglect any external heat losses]
• A. 8 minutes
• B. 4 minutes
• C. 2 minutes
• D. 1 minute

21. When table salt is added to ice, the melting point of the ice
• A. is raised
• B. is lowered
• C. remains unchanged
• D. is first raised, then lowered

22. Which of the following factors affect the rate of evaporation of a liquid? i. Exposed surface area ii Temperature of the surroundings iii. Thermal capacity of the liquid iv. Relative humidity of the surroundings
• A. ii and iii only
• B. ii, iii and iv only
• C. i, iii and iv only
• D. i, ii and iv only

23. Which of the following is used to measure relative humidity?
• A. hydrometer
• B. barometer
• C. hypsometer
• D. hygrometer

24. The maximum displacement of a vibrating tunning fork is its
• A. amplitude
• B. frequency
• C. period
• D. wavelength

25. A boat is rocked by waves of speed 30ms-1 whose successive crest are 10m apart. Calculate the rate at which the boat recieves the waves
• A. 30s-1
• B. 10s-1
• C. 3s-1
• D. 1s-1

26. Which of the following waves is not transverse
• A. light waves
• B. sound waves
• C. sea waves
• D. radio waves

27. Light travelling through a small pinhole usually does not make a shadow with a distinct sharp edge because of
• A. diffraction
• B. interference
• C. reflection
• D. refraction

28. The angle of incidence of a ray of light on a plane mirror is 55o. Determine the angle between the reflected ray and the mirror
• A. 35o
• B. 45o
• C. 55o
• D. 110o

29. A concave mirror forms a magnified and erect image only when the object is placed
• A. at the centre of curvature
• B. at the focus
• C. between the focus and the pole of the mirror
• D. beyound the radius of curvature

30. A thin lens is placed 50cm from an illustrated object. The image produced has linear magnification of ¼ . Calculate the power of the lens in dioptres
• A. 2.5D
• B. 5.0D
• C. 10.0D
• D. 25.0D

31. Which of the following characteristics of light determines its colour?
• A. velocity
• B. wavelength
• C. amplitude
• D. intensity

32. Which of the following is not a part of the electro-magnetic spectrum?
• A. x-rays
• B. microwaves
• C. infrared radiation
• D. alpha rays

33. Sound interference is necessary to produce the phenomenon of
• A. beats
• B. doppler effect
• C. acoustic resonance
• D. echo

34. A satellite in circular motion around the earth does not have
• A. a gravitational force acting on it
• B. a uniform velocity
• C. an acceleration
• D. a centripetal force acting on it

35. When a conductor mounted on an insulating stand is charged and left for sometime, the conductor eventually loses all its charges. This is because the
• A. electric charges evaporate from the surface of the conductor
• B. charges are connected to earth
• C. charges on the conductor are neutralized by opposite charges from the surrounding air
• D. charges ionize the surrounding air

36. An isolated metal sphere of radius R, carrying an electric charge Q, is situated in the medium of relative permitivity, Er. A test charge is placed at a point p, distance r from the surface of the sphere. Let Eo represent the permitivity of free space. The electric potential at p is given by the expression
• A. Q/4πEoEr
• B. Q/4πEoEr(R+r)
• C. Q/4πEoEr(R−r)
• D. Q/4πEoErR

37. An isolated metal sphere of radius R, carrying an electric charge Q, is situated in the medium of relative permitivity, Er. A test charge is placed at a point p, distance r from the surface of the sphere. Let Eo represent the permitivity of free space. The magnitude of the electric field intensity at P is given by the expression
• A. Q/4πEoErr2
• B. Q/4πEoEr(R+r)2
• C. Q/4πEoEr(R−r)2
• D. Q/4πEoErR2

38. A resistor of resistance R is connected to a battery of negligible internal resistance. If a similar resistor is connected in series with it the
• A. effective resistance of the circuit is halved
• B. total power dissipated is doubled
• C. total current in the circuit is halved
• D. terminal voltage is halved

39. A cell of e.m.f. 1.5V is connected in series with a resistor of resistance 3.0Ω. A voltmeter connected across the cell registers 0.9V. Calculate the internal resistance of the cell
• A. 2.0Ω
• B. 3.0Ω
• C. 5.0Ω
• D. 6.0Ω

40. A wire of resistivity 4.40 x 10-5Ω cm has a cross sectional area of 7.50 x 10-4 cm2. Calculate the length of the wire that will be required to make a 4.0Ω resistor
• A. 82.50 cm
• B. 68.18cm
• C. 15.90cm
• D. 11.95cm

41. A battery of e.m.f. 12.0V and internal resistance0.5Ω is connected to 1.5Ω and 4.0Ω series resistor. Calculate the terminal voltage of the battery.
• A. 13.0V
• B. 11.0V
• C. 3.0V
• D. 1.0V

42. If the direction of the curent in a straight wire is reversed, the magnetic field
• A. remains the same
• B. becomes parallel to the wire
• C. ceases to exist
• D. is oppositely directed

43. An ideal step-down transformer steps-up
• A. power
• B. energy
• C. current
• D. voltage

44. An inductor of inductance 1.0H is connected in series with a capacitor of capacitance 2.0μF in an a.c. circuit. to resonate
• A. 112.5Hz
• B. 225.0Hz
• C. 323.5Hz
• D. 707.1Hz

45. An ammeter connected to an a.c circuit records 5.5. The peak current in the circuit is
• A. 7.8A
• B. 7.1A
• C. 3.8A
• D. 3.5A

The table below shows the energy distribution for various levels of an atom. Use it to answer question 46-47
Energy level (n) 1 2 3 4
Energy (eV) -13.6 -3.39 -1.51 -0.85
[h=6.6×10-34 Js, e=1.6 x 10-19C; c=3.0 x 108 ms-1]

46. Calculate the excitation energy of the atom
A. 1.60 x 10-19J
B. 1.02 x 10-18J
C. 1.60 x 10-18J
D. 1.02 x 10J

47. If the atom de-excite from n=2, the wavelength of the emitted radiation is
A. 2.4 x 10-7m
B. 2.4 x 10-7m
C. 2.4 x 10-9m
D. 1.2 x 10-8m

48. Two isotopes of uranium are designed as 238U and 235U. The numbers 238 and 235 represent their
• A. atomic numbers
• B. nucleon numbers
• C. proton numbers
• D. neutron numbers

49. The main difference between x-rays and γ−rays
lies in their
• A. ionizing ability
• B. absorption rate
• C. mode of production
• D. mode of propagation

50. An electron of mass 9.1 x 10-31 kg moves with a speed of 107ms-1. Calculate the wavelength of the associates wave[h = 6.6 x 10-34Js]
• A. 9.0 x 10-24m
• B. 4.55 x 10-17m
• C. 7.25 x 10-11m
• D. 6.20 x 10-8m

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