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"Waves" question number distribution across years
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JAMB questions for "Physics :: Waves"
Q1
In a large telecommunications auditorium, perforated absorbent materials are used to line the ceiling so as to 
A
increase the amount of echo in hall 
B
reduce the height of the celling from the floor  
C
reduce the reverberation of sound in the hall 
D
increase the reverberation of sound in the hall 
E

Answer: C

Waves
Q2
The fundamental frequency of a plucked  wire under a tension of 400N is 250Hz. When the frequency is changed to 500Hz at constant length, the tension is 
A
160 N
B
1600 N 
C
40 N 
D
400 N 
E

Answer: B

Waves
Q3
I. They should be identical II. They should originate from the same source III. They should be coherent  IV. They should be monochromatic  From the statements above, the conditions for two waves to interfere are 
A
I, II , III and IV
B
I ,II and III only
C
I, III and IV only 
D
II, III and IV only 
E

Answer: C

Waves
Q4
A progressive wave equation is represented by y = a sin ( 150 λt -πx/4). If the phase difference of a progressive wave is 45°, the value of x in the equation is 
A
2cm
B
1cm
C
4 cm
D
3 cm
E

Answer: B

Waves
Q5
The wave length of the first overtone of a note in a closed pipe of length 33cm is 
A
22 cm
B
17 cm
C
44cm
D
33 cm
E

Answer: C

Waves
Q6
The frequency of the wave in the diagram above is
A
0.25Hz
B
1.57Hz
C
0.17Hz
D
1.05Hz
E

Answer: A

Waves
Q7
Satelite communication network makes use of 
A
infra-red rays 
B
sound wave 
C
visible light 
D
radio wave 
E

Answer: D

Waves
Q8
Marching soldiers crossing a suspension bridge are usually advised to break their steps to avoid damaging the bridge owing to 
A
swinging 
B
vibration 
C
oscillation 
D
resonance 
E

Answer: D

Waves
Q9
The velocity of sound in air will be doubled if its absolute temperature is 
A
doubled 
B
halved 
C
constant 
D
quadrupled 
E

Answer: D

Waves
Q10
In which of  the following material media would sound travel fastest?
A
Oil
B
Metal
C
Gas
D
Water
E

Answer: B

Waves
Q11
The pitch of a sound note depends on 
A
timbre 
B
frequency 
C
harmonics 
D
quality 
E

Answer: B

Waves
Q12
I. Wavelength  II. Medium of propagation  III. Wave velocity IV. Frequency  V. Energy   Which of the above are used for characterizing waves ? 
A
I, II and V 
B
I and IV 
C
I, III and IV 
D
III, IV and V 
E

Answer: C

Waves
Q13
Transverse waves can be distinguished from longitudinal waves using the characteristic of 
A
diffraction 
B
refraction 
C
polarization
D
reflection 
E

Answer: C

Waves
Q14
The phase difference between waves P and Q in the diagram below is
A
2∏
B
∏
C
∏/4
D
∏/2
E

Answer: C

Waves
Q15

Given that Young's modulus for aluminium is 7.0 x 1010 Nm-2 and density is 2.7 x 103kgm-3 find the speed of the sound produced if a solid bar is struck at one end with a hammer

A

3.6 x 103 ms-1

B

5.1 x 103 ms-1

C

2.8 x 103 ms-1

D

4.2 x 103 ms-1

E

Answer: B

Waves
Q16
If the distance from a point source of sound is doubled , by what factor does the intensity decrease ? 
A
2.00
B
0.25
C
4.00
D
0.50 
E

Answer: B

Waves
Q17
An open pipe closed at one end produces its first fundamental note. If the velocity of sound in air is v and l the length of the pipe, the frequency of the note is 
A
v/2l
B
2v/l
C
v/5l
D
v/4l
E

Answer: D

Waves
Q18
A turning fork of frequency 340Hz is vibrated just above a cylindrical tube of height 1.2m. If water is slowly poured into  tube, at what maximum height will resonance occur? 
A
0.45 m
B
0.95m
C
0.60m
D
0.50m
E

Answer: D

Waves
Q19
I. Temperature          II. Density of air molecules  III. Pressure               IV Pitch  Which of the above will affect the velocity of sound in air? 
A
I , II, III and IV 
B
I, II and IV only
C
II and IV only 
D
I and II only 
E

Answer: D

Waves
Q20
The phenomenon that makes sound persist when its source has been removed is known as 
A
rarefaction 
B
acoustic vibration 
C
reverberation 
D
echo 
E

Answer: D

Waves
Q21
Vibrations in a stretched spring cannot be polarized because they are 
A
transverse waves 
B
mechanical waves 
C
stationary waves 
D
longitudinal waves 
E

Answer: D

Waves
Q22
The property that is propagated in a travelling wave is 
A
amplitude 
B
energy
C
wavelength
D
frequency 
E

Answer: B

Waves
Q23
Which of the following is a characteristics of stationary waves? 
A
The antinode is a point of minimum displacement 
B
The distance between two successive node is one wavelength 
C
They are formed by two identical waves travelling in opposite directions 
D
They can be transverse or longitudinal 
E

Answer: C

Waves
Q24

A plane sound wave of frequency 85.5 Hz and velocity 342 ms-1 is reflected from a vertical wall. At what distance from the wall does the wave have an antinode?

A

1 m

B

2 m

C

3 m

D

4 m

E

Answer: D

Waves
Q25

Find the frequencies of the first three harmonics on a piano string of length 1.5m, if the velocity of the waves on the spring is 120 ms-1

A

360 Hz, 180 Hz, 90 Hz

B

180 Hz, 360 Hz, 540 Hz

C

80Hz, 160 Hz, 240Hz

D

40 Hz, 80 Hz, 120Hz

E

Answer: C

Waves
Q26
A string is fastened tightly between two walls 24cm apart. The wavelength of the second overtone is 
A
8cm
B
12 cm
C
16 cm
D
24 cm 
E

Answer: C

Waves
Q27
I. Coherence  II. Same frequency  III. Same wavelength  IV. Same intensity  Which of the conditions above are necessary to produce interference fringes? 
A
I , II and III
B
I and III
C
I , II and IV
D
II and III
E

Answer: A

Waves
Q28
One end of a long wire is fixed while a vibrator is attached to the other end. When the vibrator is energized, the types of waves generated in the wire are 
A
stationary and traverse 
B
progressive and transverse
C
stationary and longitudinal
D
progressive and longitudinal
E

Answer: A

Waves
Q29
A sonometer wire is vibrating at frequency fo  . If the tension in the wire is doubled while the length and the mass per unit length are kept constant, the new frequency of vibration is 
A
fo/2
B
2fo
C
fo/√2
D
fo √2
E

Answer: D

Waves
Q30
A travelling wave moving from left to right has an amplitude of 0.15m, a frequency of 550 Hz and a wavelength of 0.01m. The equation describing the wave is 
A
y = 0.15 sin  200π ( x - 5.5t)
B
y = 0.15 sin π (0.01x - 5.5t)
C
y = 0.15 sin 5.5π ( x - 200t)
D
y = 0.15 sin π(550x - 0.01 t)
E

Answer: A

Waves
Q31

The equation of a wave traveling along the positive x-direction is given by y= 0.25 x 10-3 sin ( 500t - 0.0025x). Determine the angular frequency of the wave motion.

A

0.25 x 10-3 rad s-1

B

0.25 x 10-1 rad s-1

C

5.00 x 102 rad s-1

D

2.50 x 103 rad s-1

E

Answer: G

Waves
Q32
If a sound wave goes from a cold-air region to a hot air region, its wavelength will
A
increase
B
decrease
C
decrease then increase
D
remain constant
E

Answer: B

Waves
Q33
The lowest note emitted by a stretched string has frequency of 40 Hz. How many overtones are there between 40Hz and 180 Hz?
A
4
B
3
C
2
D
1
E

Answer: B

Waves
Q34
The physical properties of sound waves can best be described by
A
reflection and diffraction
B
polarization and reflection
C
polarization and diffraction
D
polarization and refraction
E

Answer: A

Waves
Q35

The velocity of a sound wave at 27°C is 360 ms-1 . It velocity at 127°C is

A

120√3 ms-1

B

240 ms-1

C

240√3 ms-1

D

720 √3 ms-1

E

Answer: B

Waves
Q36
In a closed organ pipe producing a musical note, an antinode will always be produced at
A
the closed end
B
the open end
C
the middle
D
all the parts of the pipe
E

Answer: B

Waves
Q37

A steel wire of length 0.50 m is streched between two fixed points and its fundamental frequency is 200 Hz. The speed of the wave in the wire is

A

100 ms-1

B

120 ms-1

C

200 ms-1

D

250 ms-1

E

Answer: C

Waves
Q38
In a resonance tube experiment, if the fundamental frequency of the vibrating air column is 280 Hz, the frequency of the third overtone is
A
70 Hz
B
840 Hz
C
1120 Hz
D
1960 Hz
E

Answer: D

Waves
Q39
Which of the following are true about infra-red radiaton ? I. It is invisible II. It is called heat ray III. Its frequency is higher than that of blue light IV. It travels as a transverse wave
A
I, II, III and IV
B
I, II and IV only
C
I, III and IV only
D
II, III and IV only
E

Answer: B

Waves
Q40
In the a.c circuit diagram above, the resonance frequency is
A
5, 000 ∏ Hz
B
2, 500 ∏ Hz
C
5, 000/∏ Hz
D
2, 500/∏ Hz
E

Answer: D

Waves
Q41
Ripples on water and light waves are similar because both 
A
have the same frequency
B
can be refracted and diffracted 
C
are longitudinal waves
D
have the same velocity
E

Answer: B

Waves
Q42
Under constant tension and constant mass per unit length, the note produced by a plucked string is 500 Hz when the length of the string is 0.90m. At what length is the frequency 150 Hz? 
A
3m
B
4 m
C
5 m
D
6 m
E

Answer: A

Waves
Q43
If the load at the end of a sonometer wire is immersed in a bucket of water, the original fundamental frequency of the wire could be restored by 
A
decreasing the length of the wire 
B
increasing the length of the wire 
C
increasing the mass per unit length of the wire 
D
changing the temperature of the water
E

Answer: A

Waves
Q44
The diagram beside shows two wave forms P and Q at a particular instant of time. The two waves interfere
A
destructively to produce a wave of a larger amplitude
B
destructively to produce a wave of a smaller amplitude
C
  constructively to produce a wave of a larger amplitude  
D
  constructively to produce a wave of a smaller amplitude  
E

Answer: C

Waves
Q45

Which of the diagrams below represents the second overtone of a vibrating string fixed at both ends?

A
B
C
D
E

Answer: D

Waves
Q46
Which of the following is the exclusive property of a transverse wave? 
A
Diffraction
B
Refraction 
C
Compression
D
Polarization 
E

Answer: D

Waves
Q47
The wavelength of signals from a radio transmitter is 1 500 m and the frequency is 200 kHz. What is the wavelength for a transmitter operating at 1 000 kHz?  
A
7 500 m
B
300 m
C
7.5 m
D
1.5 m
E

Answer: B

Waves
Q48
The difference between sound waves and light waves is that sound waves 
A
are transverse while light waves are longitudinal 
B
require a medium to travel while light waves do not
C
can be diffracted but light waves  cannot
D
cannot be reflected but light waves can 
E

Answer: B

Waves
Q49
The pitch of an acoustic device can be increased by
A
increasing the frequency
B
increasing the amplitude
C
decreasing the loudness
D
decreasing the intensity
E

Answer: A

Waves
Q50
The equation of a transverse wave traveling along a string is given by y=0.3 sin (0.5x----50t) where y and x are in cm and t is in seconds. Find the maximum displacement of the particles from the equilibrium position 
A
50.0 cm
B
2.5 cm
C
0.5cm
D
0.3 cm
E

Answer: D

Waves
Q51

The sound from a source traveled to the bottom of the sea and the echo was heard 4s later. If the speed of sound in sea water is 1500ms-1, the depth of the sea is

A

6000 m

B

3000 m

C

1500 m

D

375 m

E

Answer: B

Waves
Q52
The fundamental frequency of vibration of a sonometer wire may be halved by 
A
doubting the length of the wire
B
doubting the mass of the wire
C
reducing the tension by half
D
reducing the absolute temperature by half
E

Answer: A

Waves
Q53

A pipe of length 45 cm is closed at one end. Calculate the fundamental frequency of the sound wave generated in the pipe if the velocity of sound in air is 360 ms-1 ( Neglect end corrections )

A

5. 5 Hz

B

148.5 Hz

C

200.0 Hz

D

550.0Hz

E

Answer: C

Waves
Q54
The note produced by a stretched string has a fundamental frequency of 400 Hz. If the length of the string is doubled while the tension in the string is increased by a factor of 4, the frequency is 
A
200 Hz
B
400 Hz
C
800 Hz
D
1600 Hz 
E

Answer: B

Waves
Q55

The fundamental frequency of vibration (f) of a wire is measured as a function of the tension (T) in the wire. Which of the following curves adequately represents the data?

A
B
C
D
E

Answer: C

Waves
Q56
Which of the following waves can propagate through a vacuum? 
A
High velocity sound waves 
B
Ultrasonic waves 
C
Acoustic waves 
D
Infra-red waves
E

Answer: D

Waves
Q57

Radio waves emitted from an antenna are picked up by a radar after reflection from an aircraft in 4 x 10-3 s. How far is the aircraft from the antenna?  [c= 3 x 103 ms-1]

A

6.0 X 102 km

B

1.2 X 103 km

C

3.0 x 103 km

D

6.0 X 105 km

E

Answer: A

Waves
Q58
The relationship between L and the wavelength x of the stationary wave is
A
2L = δ
B
L = δ
C
L = δ/3
D
4L = 3δ
E

Answer: D

Waves
Q59
Determine the distance between the consecutive antinodes XX if the wavelength is 60 m.
A
15cm
B
30cm
C
60cm
D
120cm
E

Answer: B

Waves
Q60

The equation of a wave Y = 0.005 sin X [ 0.5x - 200t) where x and y are in metres and t is in seconds. What is the velocity of the wave?

A

4000 m s-1

B

400 m s-1

C

250 m s-1

D

40 m s-1

E

Answer: A

Waves