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Physics
UTME / JAMB 2011
Waves and Optics
Solution
When a red rose flower is observed in blue light, what colour does the observer see?
A
Red
B
Blue
C
Magenta
D
yellow
E
No correct option
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
The colour which an object presents to the eye is the colour of light it reflects. Red rose flower will therefore absorb any other colour and reflect red. Therefore when viewed in blue light, it has no colur to reflect and will therefore appear black. Although mixture of red light and blue light = magenta .
Source: Myschool Past Questions Archive (Record #14455)
Physics
UTME / JAMB 2011
Electricity and Magnetism
Solution
The capacitance of a parallel plate capacitor is 20 μf in air and 60 μf in the presence of a dielectric. What is the dielectric constant?
A
0.3
B
6.0
C
3.0
D
2.0
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Dielectric constant = (c)/c° = (60)/20 = 3
Source: Myschool Past Questions Archive (Record #14458)
Physics
UTME / JAMB 2011
Mechanics and Properties of Matter
Solution
A certain far - sighted person cannot see object that are closer to the eye than 50 cm clearly. Determine the power of the converging lens which will enable him to see at 25 cm
A
0.06 D
B
0.02 D
C
0.03 D
D
0.04 D
E
no option is correct
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
\(\frac{1}{\text{f}}\) = \(\frac{1}{\text{u}}\) + \(\frac{1}{\text{v}}\)
\(\frac{1}{\text{f}}\) = \(\frac{1}{25}\) + \(\frac{1}{-50}\)
u = 25cm, v = - 50cm
\(\frac{1}{\text{f}}\) = \(\frac{1}{u}\) - \(\frac{1}{50}\) = \(\frac{2 - 1}{50}\)
f = 50cm
P = \(\frac{1}{\text{f}}\) = \(\frac{1}{50}\) = 0.02cm. ( in dioptres = 2D)
1D = 1m\(^{-1}\)
Source: Myschool Past Questions Archive (Record #14459)
Physics
UTME / JAMB 2011
Mechanics and Properties of Matter
Solution
Two inductors of inductance 4 II and 8 II are arrange in series and a current of 10 A is passed through them. What is the energy stored in them?
A
600 J
B
50 J
C
133 J
D
250 J
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Inductance (L) in series: 4 + 8 = 12
Therefore Energy stored =
W = \(\frac{1}{2} LI^2\)
= \(\frac{1}{2} \times 12 \times 10^2\)
= 600J
Source: Myschool Past Questions Archive (Record #14465)
Physics
UTME / JAMB 2011
Thermal Physics
Solution
Which of the following materials has an increase in resistance with temperature?
A
water
B
metals
C
wood
D
electrolyte
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Resistance in metals are proportional to temperature
Source: Myschool Past Questions Archive (Record #14466)
Physics
UTME / JAMB 2011
Heat Energy & Temperature
The bond between silicon and germanium is
A
covalent
B
ionic
C
dative
D
electrovalent
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #14467)
Physics
UTME / JAMB 2011
Modern Physics and Nuclear Physics
Solution
A radioactive isotope has a decay constant of 10-5s4. Calculate half life
A
6.93 x 10-5s
B
6.93 x 105s
C
6.93 x104s
D
6.93 x 10-4s
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
T (1)/2 = (0.693)/\lambda = (0.693)/10-5
= 0.693 x 105
= 6.93 x 104 sec
Source: Myschool Past Questions Archive (Record #14469)
Physics
UTME / JAMB 2011
Electricity and Magnetism
The electrical properties of germanium can be altered drastically by the addition of impurity. This process is referred to as
A
saturation
B
bonding
C
amplification
D
dopping
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 #14470)
Physics
UTME / JAMB 2011
Mechanics and Properties of Matter
Solution
If the threshold frequency for tungsten is 1.3 x 1015Hz, what is its work function?
[H = 6.6 x 10-34 Js]
A
8.58 x 10-19 J
B
8.50 x 10-15 J
C
8.58 x 10-17 J
D
8.85 x 10-18
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Work function, w = hfo 6.6 x 10-34 x 1.3 x 1015
= 8.58 x 10-19
Source: Myschool Past Questions Archive (Record #14471)
Physics
UTME / JAMB 2011
Heat Energy & Temperature
Solution
Which of the following will be applied when a metal Y is used to electroplate another metal X in electrolysis?
A
X is the anode and very high current is used
B
X is the anode and Y is the cathode
C
Y is the cathode and X is the anode
D
Y is the anode and very high current is used
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Metals and hydrogen are deposited at the cathode, while non-metals and oxygen are deposited on the anode
∴ metals Y will form the anode which is deposited at the cathode made of x
Source: Myschool Past Questions Archive (Record #14472)
Physics
UTME / JAMB 2011
Heat Energy & Temperature
Solution
Two resistors 5Ω and 10Ω are arranged first in series and later in parallel to a 24V source, the ratio of total power dissipated in the series and parallel arrangements respectively is
A
5:3
B
1:50
C
50:1
D
3:5
E
No Correct Option
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Power in Series Arrangement
Total Resistance (R_series): R\(_{series}\) = R\(_1\) + R\(_2\) = 5Ω + 10Ω = 15Ω
Total Power (P_series): P = \(\frac{V^2}{\text{R}}\) = \(\frac{24^2}{15}\) = 38.4W
Power in parallel Arrangement
Total Resistance(R\(_{parallel}\)): R\(_{parallel}\) = \(\frac{R_1 \times R_2}{R_1 + R_2}\) = \(\frac{5 \times 10}{5 + 10}\) = 3.33
Total Power(P_{parallel}\): P = \(\frac{V^2}{\text{R}}\) = \(\frac{24^2}{3.33}\) = 172.8W
Ratio of Powers
Power ratio = \(\frac{\text{Pseries}}{\text{Pparallel}}\) = \(\frac{38.4}{172.8}\) = \(\frac{1}{4.5}\) = \(\frac{2}{9}\)
Therefore, there is no correct answer.
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 2011
Heat Energy & Temperature
Diagram
Solution
The diagram above shows two vectors at right angles to each other. The value of the resultant vector is
Attached Figure / Diagram
A
14.0 N
B
10.0 N
C
12.0 N
D
13.0 N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The resultant, R is given by pythagoras rule, R2 = P2 + Q2
= 62 + 82 = 36 + 64 = 100
R = √100 = 10.0N
Source: Myschool Past Questions Archive (Record #14521)
Physics
UTME / JAMB 2011
Mechanics and Properties of Matter
Diagram
Solution
The diagram above show the positions of a cone. The position which can be described as neutral equilibrium is represented as
Attached Figure / Diagram
A
Z only
B
X only
C
Y and Z
D
Y and X
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Under neutral equilibrium, the body rolls and the position of the center of gravity , C. G is neither raised nor lowered
Source: Myschool Past Questions Archive (Record #14523)
Physics
UTME / JAMB 2011
Mechanics and Properties of Matter
Solution
The correct expression for the potential at a point distance r from a charge q in an electric field is?
A
_q24πεor2
B
_q24πεor
C
_q4πεor2
D
\(\frac{q}{4πε_or}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electric potential is work done in taking a unit mass or charge from infinity to that point
V = \(\frac{\text{W}}{\text{Q}}\) = \(\frac{\text{Fr}}{\text{Q}}\) = \(\frac{Q_1Q_2}{4\piεor^2}\) x \(\frac{\text{r}}{Q_1}\)
= \(\frac{- q}{4\piεor}\)
Source: Myschool Past Questions Archive (Record #14526)
Physics
UTME / JAMB 2011
Waves and Optics
Solution
An image in a convex lens is upright and magnified 3 times. If the focal length of the lens is 15 cm, what is the object distance?
A
10 cm
B
25 cm
C
16 cm
D
14 cm
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
m = v/u = -3
v = -3u
f = 15cm
1/v + 1/U = 1/f
1/-3U + 1/u = 1/15
2/3u = 1/15
3U = 15 x 2
U = 30/3
= 10 cm
Source: Myschool Past Questions Archive (Record #14531)