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Physics
UTME / JAMB 1981
Waves and Optics
Solution
The absolute refractive indices of glass and water are \(\frac{3}{2}\) and \(\frac{4}{3}\) respectively. The refractive index at the interface when a ray travels from water to glass is
A
\(\frac{1}{2}\)
B
\(\frac{8}{9}\)
C
\(\frac{9}{8}\)
D
\(\frac{17}{12}\)
E
2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Ray travelling from water to glass;
\(\frac{\text{speed of light in air}}{\text{speed of light in glass}}\) = \(\frac{3}{2}\)
= 3 x 108ms-1
X = 2 x 108ms-1
\(\frac{\text{speed of light in air}}{\text{speed of light in water}}\) = \(\frac{4}{3}\)
= \(\frac{3 \times 10^8}{g}\)
Y = 2.25 x 108ms-1
from water to glass;
Refractive = \(\frac{\text{speed of light in water}}{\text{speed of light in glass}}\)
= \(\frac{2.25 \times 10^8}{2.00 \times 10^8}\)
= 1.125
= \(\frac{9}{8}\)
Source: Myschool Past Questions Archive (Record #29012)
Physics
UTME / JAMB 1981
Waves and Optics
The quantity (timbre) of sound depends on
A
amplitude
B
frequency
C
harmonics
D
velocity
E
wavelength
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #29024)
Physics
UTME / JAMB 1981
Waves and Optics
Solution
An object placed on the principle axis of a convex lens of focal length 10m produces a real image of double magnification. The image distance from the lens is
A
30cm
B
25cm
C
20cm
D
15cm
E
10cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\frac{1}{v}\) + \(\frac{1}{u}\) = \(\frac{1}{f}\)
\(\frac{1}{v}\) = +ve real image distance
where; U = +ve real object distance
f = real focus = 10
m = magnification
M = 2 = \(\frac{v}{u}\)
2u = V
\(\frac{1}{2u}\) + \(\frac{1}{u}\) = \(\frac{1}{10}\)
2u = 30
u = 15cm
v = 2u = 2 x 15
= 30cm
Source: Myschool Past Questions Archive (Record #29026)
Physics
UTME / JAMB 1981
Waves and Optics
Diagram
The wave motion above has a frequency
Attached Figure / Diagram
A
0.1Hz
B
0.2Hz
C
5Hz
D
10Hz
E
100Hz
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #41617)
Physics
UTME / JAMB 1981
Waves and Optics
Diagram
Solution
in a light experiment with a convex lens a student plotted a graph as shown above of the reciprocal of object distance (1)/u against the reciprocal of image distance (1)/v . the focal length of the lens is given as
Attached Figure / Diagram
A
slope of line PQ
B
Reciprocal of either OP or OQ
C
Length OP or OQ
D
area under the graph E ratio OP/OQ
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The intercept on either of the axes of the graph of \(\frac{1}{u}\) against \(\frac{1}{v}\) gives the value of \(\frac{1}{f}\). Hence, the reciprocal of this intercecpt gives the value of the focal length.
Source: Myschool Past Questions Archive (Record #41618)
Physics
UTME / JAMB 1980
Waves and Optics
Solution
The motion of the moving skin of a talking drum can rightly be described as
A
translational
B
random
C
rotational
D
oscillatory
E
transitory
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The skin of the drum vibrates back and forth when struck, creating sound waves, which is characteristic of oscillatory motion.
Source: Myschool Past Questions Archive (Record #29079)
Physics
UTME / JAMB 1980
Waves and Optics
Solution
Which of the following statements is NOT true of the image in a plane mirror? The image is
A
the same size as the object
B
laterally inverted
C
virtual
D
magnified
E
the same distance behind the mirror as the object is in front
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
the following are properties of the image formed by a plane mirror are;
The image is always upright.
The image is of the same size as the object.
The distance of the image from the mirror is exactly equal to the distance of the object from the mirror.
The image cannot be formed on the screen, i.e., it is a virtual image.
The image is laterally inverted.
Source: Myschool Past Questions Archive (Record #29087)
Physics
UTME / JAMB 1980
Waves and Optics
Solution
Any line or section through an advancing wave in which all the particles are in the same phase is called the
A
wave lenght
B
wave crest
C
wave trough
D
wave amplitude
E
wave front
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
the wavefront of a time-varying field is the set of all points where the wave has the same phase of the sinusoid.
Source: Myschool Past Questions Archive (Record #29088)
Physics
UTME / JAMB 1980
Waves and Optics
Solution
If the magnification of a virtual image formed of an object 10cm from a convex lens is 3, then the focal length of the lens is
A
10cm
B
15cm
C
16cm
D
19cm
E
20cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
V = 3u, U = 10cm
therefore U = -ve,
F = \(\frac{UV}{U + V}\)
= \(\frac{10 \times (-30)}{10 - 30 }\)
= 15cm
Source: Myschool Past Questions Archive (Record #29094)
Physics
UTME / JAMB 1980
Waves and Optics
Solution
In a compound microscope
A
there is only one lens
B
the objective lens have a shorter focal length than the eyepiece which is convex
C
the objective lens has a longer focal length than the eyepiece which is convex
D
the objective lens has a shorter focal length than the eyepiece which is concave
E
the objective and the eyepiece are both convex and have the same focal length
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
A compound microscope consists of two convex lenses: an objective lens O of small aperture and an eye piece E of large aperture. The lens which is placed towards the object is called objective lens, while the lens which is towards our eye is called eye piece. These two convex lenses i.e. the objective and the eye piece have short focal length and are fitted at the free ends of two sliding tubes at a suitable distance from each other. Although the focal length of both the objective lens and eye piece is short, but the focal length of the objective lens O is a little shorter than that of the eye piece E.
Source: Myschool Past Questions Archive (Record #29116)
Physics
UTME / JAMB 1980
Waves and Optics
In sunlight, a blue flower looks blue because we see the flower by the light it
A
recieves from our eye
B
disperses
C
absorbs
D
refracts
E
reflects
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #29117)
Physics
UTME / JAMB 1980
Waves and Optics
A man stands one-third of the way between two walls and claps his hands, He hears two distinct echoes 1s apart. If the speed of sound is 330ms-1 the distance between the wall is
A
33m
B
110m
C
220m
D
330m
E
495m
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #29129)
Physics
UTME / JAMB 1980
Waves and Optics
Diagram
The Diagram above shows the prism arrangement in a
Attached Figure / Diagram
A
Microscope
B
tereoscope
C
projector
D
periscope
E
gyroscope
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 #41610)
Physics
UTME / JAMB 1980
Waves and Optics
Diagram
In the diagram above, a ray of light passes from glass into air, if the angle of incidence in glass is a and angle of refraction in air is \( \beta \) which of following statements is true???
Attached Figure / Diagram
A
\( \alpha = \beta \)
B
the efractive index of glass is \( \frac{sin\theta}{sin\alpha} \)
C
The ray suffers total internal reflection if \( \beta \) is greater than the critical angle
D
the efractive index of glass is \( \frac{sin\alpha}{sin\beta} \)
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 #41614)
Physics
UTME / JAMB 1979
Waves and Optics
Solution
An object is placed 30cm from a concave mirror of focal length 15cm. the linear magnification of the image produced is
A
o
B
\(\frac{2}{3}\)
C
1
D
2
E
3
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
U = 30cm = 2f = r
V = 30cm
hence, m = \(\frac{v}{u}\) = \(\frac{30}{30}\)
= 1
Source: Myschool Past Questions Archive (Record #29185)