2018 - WAEC Physics Past Questions and Answers - page 4

31

Two objects P and Q of masses 100kg and 20kg respectively are 1.2m apart on a horizontal surface. Calculate the net gravitational force acting on Q.                                     \([G= 6.67 \times 10^{-11} Nm^{2}kg^{-2}]\)

A

\(1.11\times 10^{-7} N\) towards P

B

\(1.11\times 10^{-7} N\) towards Q

C

\(9.26\times 10^{-8} N\) towards P

D

\(9.26\times 10^{-8} N\) towards Q

correct option: d

\(F= \frac{Gm_{1}m_{2}}{r^{2}}\)

\(m_{1} = 100kg\)

\(m_{2} = 20kg; r =1.2m\)

\(G= 6.67\times 10^{-11}\)

\(F = \frac{6.67\times 10^{-11}\times 100\times 20}{(1.2)^{2}} = 9.26\times 10^{-8}\)

The acceleration of an object is inversely proportional to its mass. Hence, the lighter the object the faster it can move... the force will act in the direction of Q.

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32

The primary of a transformer has 100 turns and its secondary has 200 turns. If the voltage at the primary is 100V, determine the voltage at the secondary.

A

50V

B

100V

C

200V

D

400V

correct option: c

The equation of ideal transformer:

\(\frac{V_{s}}{V_{p}} = \frac{N_{s}}{N_{p}} = \frac{I_{p}}{I_{s}}\)

where \(V_{s}\) and \(V_{p}\) are the voltages applied to the secondary and the primary respectively

\(N_{s}\) and \(N_{p}\) are the number of turns on the secondary and primary coils respectively

\(I_{p}\) and \(I_{s}\) are the currents flowing in the primary and secondary coils respectively.

\(\frac{V_{s}}{100} = \frac{200}{100}\)

\(V_{s} = \frac{200\times 100}{100} = 200V\)

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33

In the diagram illustrated a block of mass M is at rest on a plane inclined at an angle \(\theta\) to the horizontal. As \(\theta\) increases, the velocity ratio of the plane

A
increases
B
decreases
C
remain the same
D
decreases and later increases
correct option: b

The velocity ratio and therefore, the mechanical advantage of an inclined plane system increases as \(\theta\) decreases and vice-versa.

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34

When the speed of a car is halved, its kinetic energy is

A

doubled

B

quartered

C

halved

D

quadrupled

correct option: b

Given \(K_{1}\) = \(\frac{mv^{2}}{2}\).

When v is halved, we have

\(K_{2}\) = \(\frac{m\times (\frac{v}{2})^{2}}{2}\)

= \(\frac{K_{1}}{4}\), which is a quater

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35

A wire of length 400cm is stretched between two fixed points. When plucked, its fundamental frequency is 150Hz. Calculate the speed of the wave produced.

A
250\(ms^{-1}\)
B
625\(ms^{-1}\)
C
1200\(ms^{-1}\)
D
1500\(ms^{-1}\)
correct option: c

The fundamental frequency \((f_{0})\) = \(\frac{v}{2l}\)

\(f_{0} = 150Hz; l =400cm = 4m\)

\(150 = \frac{v}{2\times 4}\)

\(v = 150 \times 8 = 1200ms^{-1}\)

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36

The diagram above illustrates a waveform. Determine the number of wavelengths in it

A
4
B
3\(\frac{1}{2}\)
C
2\(\frac{1}{2}\)
D
2
correct option: c
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37

A resistor with fixed resistance value is called a

A
resistance box
B
standard resistor
C
shunt resistor
D
multiplier resistor
correct option: b
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38

Which of the following statements is not an advantage of an alkaline accumulator?

A
The electrolyte does not need attention
B
It can be recharged
C
It has low internal resistance
D
It has a much longer life than lead-acid accumulator
correct option: a
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39

The diagram above illustrates the wire connections to a three-pin plug. The wires P, Q and R respectively are:

A
live, neutral and earth
B
neutral, earth and live
C
earth, live and neutral
D
earth, neutral and live
correct option: b
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40

Which of the following statements about parallel plate capacitors is/are correct?

I. Capacitance of the capacitor  is inversely proportional to the distance between the plates

II. Capacitors can filter a.c signals from d.c 

III. Capacitors can store charges

A

I only

B

I and II only

C

II and III only

D

I, II and III

correct option: c

Capacitors pass AC but block DC signals (when charged up to the applied DC voltage). They are often used to

  • separate the AC and DC components of a signal
  • store energy
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