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Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
2000cm3 of a gas is collected at 27oC and 700mmHg. What is the volume of the gas at standard temperature and pressure?
A
1896.5cm3
B
1767.3cm3
C
1676.3cm3
D
1456.5cm3
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(V_2 = \frac{P_1V_1T_2}{P_2T_2}\)
\(V_2 = \frac{700 \times 2000 \times 273}{760 \times 300}\)
Source: Myschool Past Questions Archive (Record #27393)
Physics
UTME / JAMB 2012
Thermal Physics
Solution
Calculate the temperature change when 500J of heat is supplied to 100g of water
[specific heat capacity of water = 4200JKg\(^{-1}\)k\(^{-1}\)]
A
12.1oC
B
2.1oC
C
1.2oC
D
0.1oC
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
\(\theta = \frac{Q}{MC}\)
\(\theta = \frac{500}{0.1 \times 4200}\) ≈ 1.2 ºC
Source: Myschool Past Questions Archive (Record #27395)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
Which of the following is NOT a factor that can increase the rate of evaporation of water in a lake?
A
increase in the pressure of the atmosphere
B
rise in temperature
C
increase in the average speed of the molecules of water
D
increase in the kinetic energy of the molecules of water
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
An increase in atmospheric pressure actually decreases the rate of evaporation. Higher pressure means more air molecules are pushing down on the surface of the water, making it physically more difficult for water molecules to escape into the air as vapour.
Source: Myschool Past Questions Archive (Record #27396)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
The quantity of heat energy required to melt completely 1 kg of ice at - 30oC is
[latent heat of fusion = 3.5 x 10 5Jkg -1, specific heat capacity of ice = 2.1x10 3Jkg -1K -1]
A
4.13x10 6J
B
4.13x10 5J
C
3.56x10 4J
D
3.56x10 2J
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Q = mL + mcθ = 1 x 3.5 x 10 5 + 1 x 2.1 x 10 3 x 30
Source: Myschool Past Questions Archive (Record #27398)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
I. It is a rapid, constant and irregular motion of tiny particles. II. It gives evidence that tiny particles of matter called molecules exist. III. It takes place only in gases. IV. It gives evidence that molecules are in a constant state of random motion. which of the combinations above is correct about Brownian notion?
A
I,II and III only
B
II,III and IV only
C
I,III and lV only
D
l, ll and lV only
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 #27400)
Physics
UTME / JAMB 2012
Waves and Optics
Solution
The equation of a wave traveling in a horizontal direction is expressed as y = 15 sin \(\frac{2\pi}{5}\) (60t - x). What is its wavelength?
A
60m
B
15m
C
5m
D
2m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Given: y = 15 sin \(\frac{2\pi}{5}\) (60t - x).
comparing y = 15 sin \(\frac{2\pi}{5}\) (60t - x) with the equation of wave motion Asin\(\frac{2\pi}{\lambda}\)(x - vt)
\(\frac{2\pi}{5}\) = \(\frac{2\pi}{\lambda}\)
Therefore, \(\lambda\) = 5m.
Source: Myschool Past Questions Archive (Record #27401)
Physics
UTME / JAMB 2012
Mechanics and Properties of Matter
Solution
Which of the following factors will affect the velocity of sound?
A
An increase in the pitch of the sound
B
An increase in the loudness of the sound
C
Wind travelling in the same direction of the sound
D
A change in the atmospheric pressure at constant temperature
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Pitch, loudness, and atmospheric pressure do not affect sound velocity. Wind traveling in the same direction of sound affects its velocity. wind can slow down or accelerate the speed of sound, depending on whether it is blowing in the same direction or in the opposite direction to the sound signal.
Source: Myschool Past Questions Archive (Record #27402)
Physics
UTME / JAMB 2012
Waves and Optics
Solution
The characteristic of a vibration that determines its intensity is the
A
Frequency
B
Overtone
C
Wavelength
D
Amplitude
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The higher the amplitude of sound the larger the loudness of sound and the lower the amplitude of sound waves the softer the loudness of sound by this we get to know that the amplitude of a sound wave decides the loudness of sound or we can call it the intensity of sound.
Source: Myschool Past Questions Archive (Record #27403)
Physics
UTME / JAMB 2012
Waves and Optics
Where can a man place his face to get an enlarged image when using a concave mirror to shave?
A
Between the centre of curvature and the principal focus
B
At the principal focus
C
Between the principal focus and the pole
D
At the centre of curvature
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 #27404)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
Solution
A pinhole camera is placed 300m in front of a building so that the image is formed on a screen 5cm from the the pinhole. If the image is 2.5cm high, the height of the building will be
A
25m
B
50m
C
100m
D
150m
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
==> \(\frac{v}{u}\) = \(\frac{hi}{ho}\)
==> \(\frac{5}{300}\) = \(\frac{2.5}{ho}\)
= 150m
Source: Myschool Past Questions Archive (Record #27405)
Physics
UTME / JAMB 2012
Waves and Optics
Solution
The magnification of an object 2cm tall when placed 10cm in front of a plane mirror is
A
6.0
B
1.0
C
0.7
D
0.6
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Magnification of an object in front of a plane mirror 2cm tall will be = \(\frac{2}{2}\) = 1 This is because the image will be equal distance behind the mirror.
Source: Myschool Past Questions Archive (Record #27406)
Physics
UTME / JAMB 2012
Waves and Optics
After reflection from the concave mirror, rays of light from the sun converges
A
at the radius of curvature
B
at the focus
C
beyond the radius of curvature
D
between the focus and radius of curvature
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 #27407)
Physics
UTME / JAMB 2012
Heat Energy & Temperature
Solution
A glass block of thickness 10cm is placed on an object. If an observer views the object vertically, the displacement of the object is
A
3.33cm
B
5.00cm
C
6.67cm
D
8.50cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\(\mu\) = R.9 = 1.5 = 10
A.P A.d, Ad = 6.66
Displacement = R.d - A.d = 10 - 6.66
= 3.33
Source: Myschool Past Questions Archive (Record #27408)
Physics
UTME / JAMB 2012
Waves and Optics
I. Rays of light travel from a less dense medium to a denser medium. II. The Angle of incidence is greater than critical angle. III. Rays of light travel from a denser medium to a less dense medium. Which of the statements above are conditions for total internal reflection to occur?
A
I & II only
B
I & III only
C
II & III only
D
II only
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 #27409)
Physics
UTME / JAMB 2012
Waves and Optics
The use of lenses is Not applicable in the
A
projector
B
human eye
C
periscope
D
telescope
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 #27411)