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Physics
WAEC / WASSCE 2016
Waves and Optics
Solution
The distance between two successive trough of a wave is 0.4m. If the frequency of the source is 825Hz, Calculate the speed of the wave
A
165.0 ms-1
B
330.0ms-1
C
41.5ms-1
D
85.0ms-1
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
v = f\(\lambda\)
= 825 x 0.4
= 330.0ms-1
Source: Myschool Past Questions Archive (Record #45639)
Physics
WAEC / WASSCE 2016
Waves and Optics
Diagram
X-rays and infrared rays are both electromagnetic. Which common property do the waves have? Both waves
Attached Figure / Diagram
A
are longitudinal
B
have same frequency
C
have the same wavelength
D
travel at the same speed in a vacuum
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #45640)
Physics
WAEC / WASSCE 2016
Waves and Optics
The image formed by a concave mirror is real, inverted and magnified, when object is placed
A
at the focus
B
at the centre of curvature
C
beyond the centre of curvature
D
between the centre of curvature and the focus
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #45641)
Physics
WAEC / WASSCE 2016
Waves and Optics
Total internal reflection. i. is a phenomenon of refraction of light. ii. occurs when light rays travel into a denser medium. iii. occurs when the critical angle is just exceeded. iv. is a phenomenon of reflection of light. Which of the statements above are correct?
A
i and ii only
B
i and iii only
C
i, ii and iii only
D
i, iii and iv only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #45642)
Physics
WAEC / WASSCE 2016
Waves and Optics
Diagram
Solution
The diagram given illustrates the waveform of a note produced by vibrations in an air column of length L. If the speed of sound in air is V, derive an expression for the frequency of the notes
Attached Figure / Diagram
A
\(\frac{V}{L}\)
B
\(\frac{5VL}{2}\)
C
\(\frac{5L}{4V}\)
D
\(\frac{5V}{4L}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
L = \(\frac{5\lambda}{4}\)
\(\lambda = \frac{4L}{5}\)
But \(\lambda = f\lambda\)
f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)
= \(\frac{5v}{4L}\)
Source: Myschool Past Questions Archive (Record #45644)
Physics
WAEC / WASSCE 2016
Waves and Optics
Solution
(a) Define critical angle.
(b) How are anti-nodes created in a stationary wave?
(c) The angle of minimum deviation of an equilateral triangular glass prism is 46.2^\circ. Calculate the refractive index of the glass.
(d) An illuminated object is placed in front of a concave mirror and the position of a screen is adjusted in front of the mirror but no image is obtained on the screen. Give two possible reasons for this observation.
(e) An illuminated object is placed at a distance of 75 cm from a converging lens of focal length 30 cm.
(i) Determine the image distance.
(ii) If the lens is replaced by another converging lens, the object has to be moved 25 cm further away to have its sharp image on the screen. Determine the focal length of the second lens.
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
(a) Critical angle is defined as the angle of incidence in the denser medium for which the angle of refraction in the less dense medium is 90^\circ.
(b) Antinodes are created in a stationary wave when an incident and its reflected waves are superposed and 180^\circ out of phase.
(c) n = \(\frac{Sin\frac{(A + Dm)}{2}}{\sin (\frac{A}{2})}\)
= \(\frac{Sin\frac{(60 + 46.2)}{2}}{\sin (\frac{60}{2})}\)
= \(\frac{sin 53.1}{sin 30}\)
= 1.6
(d) No image is obtained on the screen because
- Object, screen and mirror are not coaxial;
- Object is placed at focal point of mirror;
- Object is placed between the focus and the pole;
- Screen is located at a distance less than or greater than actual image distance.
(e) (i) \(\frac{1}{u} + \frac{1}{v} = \frac{1}{f}\)
\(\frac{1}{v} = \frac{1}{f} - \frac{1}{u} = \frac{1}{30} - \frac{1}{7}\)
= \(\frac{5 - 2}{150} = \frac{3}{150}\)
U = 75 + 25 = 100cm
\(\frac{1}{u} + \frac{1}{v} = \frac{1}{f}\)
\(\frac{1}{100} + \frac{1}{50} = \frac{1}{50} = \frac{1}{50}\)
f = 50cm
Source: Myschool Past Questions Archive (Record #52954)
Physics
WAEC / WASSCE 2016
Waves and Optics
Solution
(a) Explain briefly dielectric strength.
(b) An electromagnetic wave has its wavelength shorter than those of radiowave and microwave but longer than that of visible light.
(i) Identify the wave.
(ii) Name one suitable detector for the wave.
(iii) Name one source of the wave.
(c) An oil drop carrying a charge of 1.0 x 10\(^{-19 }\)C is found to remain at rest in a uniform electric field of intensity 1200 NC\(^{-1}\). Calculate the weight of the oil drop.
(d) An RLC series circuit consists of a 100\(\Omega\) resistor, 0.05 H inductor and a 25 \(\mu\) capacitor. A 220 V, 50 Hz mains voltage is applied across the circuit. Calculate the:
(i) impedance;
(ii) current. (\(\pi\) = 3.14)
medium Difficulty
Verified Correct Answer: Option
Physical Principles & Numerical Solution
a) Dielectric strength is the maximum potential gradient or electric field strength an insulator can withstand without breaking down. It is measured in Vmm\(^{-1}\) or Vm\(^{-1}\).
(b)(i) The wave is infra-red wave.
(ii) Suitable detector can be -Infra-red camera;
-Thermopile;
-Bolometer or
-Photographic film.
(iii) Source of the wave can be - Hot bodies or sun
(c) E = \(\frac{F}{q} = \frac{W}{q}\)
W =mF = Eq
= 1200 x 1.0 x 10\(^{-19}\)
= 1200 x 1.0 x 10\(^{-19}\)N
(d) X\(_L\) = 1.2\(\pi fL\)
= 2 x 3.142 x 50 x 0.50 = 15.7\(\Omega\)
X\(_c\) \(\frac{1}{2 \pi fL}\)
= \(\frac{1}{2 \times 3.14 \times 50 \times 25 \times 10^{-16}}\)
= 127.4 \(\Omega\)
(i) Z = \(\sqrt{R^2 + (X_1 - X_c)^2}\)
= \(\sqrt{100^2 + (127.4 - 15.7)^2}\)
= 149.9\(\Omega\)
(ii) I \(\frac{V}{Z} = \frac{220}{149.9}\)
= 1.47A
Source: Myschool Past Questions Archive (Record #52955)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
A stroboscope can be used to make the wave appear …………..
A
Stationary
B
In motion
C
Dipper
D
Ripple
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Stroboscope is a scientific instrument used to make a wave appears stationary when used
Source: Myschool Past Questions Archive (Record #40768)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
A motor boy of a driver saw what seems to appear to be a pool of water a head of him, while his driver drives a new truck on a sunny day. Which of the following explains his observation?
A
He saw a flying objects
B
He must be thinking of water and food
C
He was seeing the shadow of the car
D
The sun ray from the sky were passing from a hot air (layer) to cold layer
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The appearance of pool of water on road surfaces is called MIRAGE
His observation show that light from the sun ray refracted through a layer of hot air(layer) which is closed to the ground, passes from a hot air layer to the cold layer
Source: Myschool Past Questions Archive (Record #40784)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
Mr. F. Abioye observed his image through a plane mirror, kept at a distance 4.7m away from him in his room. At what distance is the image found from Abioye's eye?
A
9.4m
B
7.5m
C
5.7m
D
6.9m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
As object and image are usually at equal distance apart from the mirror /p>
Distance between Abioye (a) and hip image (I) = AI
i.e. AI = 4.7 + 47
= 9.4m
Source: Myschool Past Questions Archive (Record #40802)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
Primary colours of light are
A
Red, blue and green
B
Cyan, magneta and yellow
C
Black, blue and green
D
None of these colours
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Primary colours of light are red, blue and green
Secondary colours of light are cyan, magneta and yellow
Source: Myschool Past Questions Archive (Record #40804)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
The compressed regions and the space-out regions in longitude wave are refers to as
A
Compression and Rarefaction
B
Comparison and Explosion
C
Reflection only
D
Refraction only
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The vibrating particles behave like a spiral spring with a series of compression region and space–out region.
Source: Myschool Past Questions Archive (Record #40836)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
A structural engineer stood on a top of a building releasing a light and heavy object to the ground which of the following statement is true?(Neglect Air Resistance)
A
Both the light and heavy subject reach the ground at the same time
B
The light object get to the ground first before the heavy object
C
The heavy object to the ground first before the light object
D
None get to the ground first
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
(Neglect of Air resistance)
Note: Both objects reach the ground at the same time
Source: Myschool Past Questions Archive (Record #40864)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
A radioactive source emits X–rays of very short wavelength (10\(^{-13}\)m ). What is the frequency of these rays?
A
2 × 1018HZ
B
3 × 10 19HZ
C
3 × 1021HZ
D
3 × 10-19HZ
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(Wavelength (\lambda) = 10^{-13}m\)
Speed of X-ray = speed of light \(C = 3\times10^{8}m/s\)
Frequently (f) = ?
\(Using V = f\lambda (or (– f \pi for electromagnetic wave)\)
\(f = \frac{c}{\lambda} = 3 \times 10^{8} \div 10^{-13} = 3 \times 10^{8} \times 10^{13}\)
= \(3 \times 10^{8} \times 10^{13}\)
= \(3 \times 10^{21}Hz\)
Source: Myschool Past Questions Archive (Record #40873)
Physics
UTME / JAMB 2015
Waves and Optics
Solution
Heat transfer by convection will take place in one the following substance.
A
Stone
B
Wood
C
Mercury
D
Water
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Convection take place commonly in liquids (water) and slightly in gasses
Source: Myschool Past Questions Archive (Record #41312)