2001 - WAEC Physics Past Questions and Answers - page 4

31
If the frequency of the tuning fork at resonance is 256Hz, calculate the frequency of vibration of the wire when the tension in he wire is increased to 196N
A
130.6Hz
B
182.9Hz
C
358.4Hz
D
501.8Hz
correct option: c
\(\frac{f}{256} = \sqrt{\frac{196}{100}}\)

f = \(\sqrt{\frac{256^2 \times 196}{100}}\)

= 356.4Hz
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32
The magnitude of the gravitational force between two particles 0.10m apart is 10N. If the distance between them is increased to 0.20m, calculate the magnitude of the new force
A
40.0N
B
20.0N
C
5.0N
D
2.5N
correct option: d
\(g_1 = \frac{Gm_1m_2}{r^2_1}\)

\(m_1m_2 = \frac{gr^2_1}{G}\)

\(g_2 = \frac{Ggr^2_1}{Gr^2_2} = \frac{10 \times 0.1^2}{0.2^2}\)

= 2.5N
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33
As the plates of a charged variable capacitor are moved closer together, the potential difference between them
A
increased
B
decrease
C
remains the same
D
is doubled
correct option: b
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34
What is the effective capacitance in the circuit?
A
2\(\mu F\)
B
6\(\mu F\)
C
18\(\mu F\)
D
216\(\mu F\)
correct option: a
\(\frac{1}{c} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6}\)

= \(\frac{1 + 1 + 1}{6} = \frac{3}{6} = \frac{1}{2}\)

= 2\(\mu F\)
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35
What is the total energy stored by the capacitors?
A
2.0 x 10-4J
B
1.0 x 10-4J
C
9.0 x 10-2J
D
1.0 x 10-2J
correct option: d
Energy = \(\frac{1}{2}CV^2 = \frac{1}{2} \times 2 \times 10^{-6} \times 100^2\)

= 1.0 x 10-2J
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36
Three identical lamps each power 100W are connected in parallel across a potential difference of 250V. Calculate the current in the circuit
A
7.5A
B
2.5A
C
1.2A
D
0.8A
correct option: c
P = IV

I = \(\frac{P}{V} = \frac{3 \times 100}{250} = 1.2A\)
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37
An electric bulb is rated 60W, 220V. Calculate the resistance of its filament when it is operating normally
A
296.7\(\Omega\)
B
400.0\(\Omega\)
C
512.2\(\Omega\)
D
806.7\(\Omega\)
correct option: d
P = \(\frac{v^2}{P} = \frac{220^2}{100} = 806.7\Omega\)
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38
The Earth's magnetic equator passes through Jos in Nigeria. At Jos. the
A
angle of variation is zero
B
magnetic declination is 90o
C
angle of dip is zero
D
horizontal component of the Earth's magnetic field is zero
correct option: c
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39
Which of the following statements about magnetic lines of force is not correct?
A
a magnnetic line of force is an imaginary line which the north pole of a magnet would describe if it is free to moves
B
magnetic lines of force do not cross one another
C
magnetic lines of force are closely packed together at neutral point
D
the presence of magnetic lines of force in a region indicates the presence of a magnetic field
correct option: c
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40
The material used for constructing the core of an electromagnet is
A
iron
B
carbon
C
copper
D
steel
correct option: a
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