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Physics
UTME / JAMB 1979
Mechanics and Properties of Matter
Diagram
Solution
An air column 10cm in length is trapped into the sea end of a capillary tube by a 15cm column of mercury with the tube held vertically as shown above. On inverting the tube the air column becomes 15cm long. The atmospheric pressure during the experiment is
Attached Figure / Diagram
A
90cm
B
76cm
C
75cm
D
60cm
E
50cm
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Let X represent the atmospheric pressure
with tube upright,P1 = ( x + 15)cm, L1 = 10cm
with tube inverted P2 = ( x - 15)cm, L2 = 15cm
using Boyle's law i.e P1V1 = P2V2
(x + 15)10 = (x - 15)15 = 10x + 150 = 15x - 225
15x - 10x = 150 + 225
5x = 375
x = \(\frac{375}{5}\)
= 75cm
Source: Myschool Past Questions Archive (Record #41598)
Physics
UTME / JAMB 1979
Mechanics and Properties of Matter
Diagram
fig 12 shows the velocity time graph of a car which starts from rest and is accelerated uniformly at the rate of 3m sec-2 for 5 seconds. It attains a velocity which is maintained for a minute, The car is then brought to rest by a uniform retardation after another 3 seconds. calculate the total distance covered
Attached Figure / Diagram
A
900m
B
1920m
C
960m
D
860m
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 #41606)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
An air force jet flying with a speed of 335ms-1 went past an anti-aircraft gun. How far is the aircraft 5s later when the gun was fired?
A
838m
B
3350m
C
670m
D
1675m
E
67m
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Distance covered = speed x time
= 335 x 5
= 1675m
Source: Myschool Past Questions Archive (Record #29233)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
A machine gun with a mass of 5kg fires a 50g bullet at speed of 100ms-1. The recoil speed of the machine gun is
A
0.5 msec-1
B
1.5 msec-1
C
1 msec-1
D
2 msec-1
E
4 msec-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Gun momentum = bullet momentum
5 x v = 0.05 x 100
v = 1 msec-1
Source: Myschool Past Questions Archive (Record #29240)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
mercury is a better barometric fluid than water because i. it needs no colouring ii. its density is many times greater than that of water iii. it does not wet glass iv. it has a high vapour pressure v. it has a high boiling point. which of the above statements are true?
A
i and ii only
B
i, ii and iii only
C
iii and iv only
D
iv and v only
E
iii, iv and v only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The advantages of use of mercury in a barometer are :
its density is very high.
it has low vapor pressure.
its rate of evaporation is not very high.
it neither wets nor sticks to glass.
its surface is shining and opaque.
Source: Myschool Past Questions Archive (Record #29242)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
The force required to make an object of mass m, travelling with velocity v, turn in a circle of radius r is
A
\(\frac{mv^2}{r}\)
B
\(\frac{mr^2}{v}\)
C
\(\frac{mr}{v}\)
D
\(\frac{mv}{r^2}\)
E
\(\frac{mv}{r}\)
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 #29248)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
The density of a solid is defined as the
A
mass of the solid compared to the mass of an equal volume of water
B
amount of water displaced when a unit mass of thesolid is immersed in it
C
weight per unit volume of the solid
D
volume per unit mass of the solid
E
mass per unit volume of the solid
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
The density of a solid is defined as mass per unit volume of the solid
Source: Myschool Past Questions Archive (Record #29252)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
A gas at pressure PNm\(^{-2}\) and temperature 27^\circC is heated to 77^\circC at constant volume. The new pressure is
A
0.85 PN-m-2
B
0.86 PN-m-2
C
1.16 PN-m-2
D
1.18 PN-m-2
E
2.85 PN-m-2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
At constant volume,
\(\frac{P_1}{T_1}\) = \(\frac{P_2}{T_2}\)
\(\frac{P}{27 +273}\) = \(\frac{P_2}{77 + 273}\)
\(300P_2 = 350P\)
P2 = 1.16 PNm\(^{-2}\)
Source: Myschool Past Questions Archive (Record #29277)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
If NEPA charges 5k per kWhr, what is the cost of operating for 24 hours a lamp required 1A on a 200v line?
A
24k
B
55k
C
40k
D
26k
E
32k
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Energy (kWhr) = 1 x 200 x 24 x 10-3
= 4.8kWhr
1 kWhr. cost 5k
4.8kwhr. will cost (5 x 4.8)k
= 24 kobo
Source: Myschool Past Questions Archive (Record #29289)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
On an a.c generator, which of the following does not apply?
A
field magnet
B
commutator
C
armature
D
slip rings
E
carbon brushes
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
An AC generator consists of the following parts:
Field Magnet: It is a horseshoe-shaped permanent magnet that produces a strong magnetic field in the space between its two poles.
Armature: It is a rectangular coil with a huge number of insulated copper wire that turns on a cylindrical core of soft iron.
Slip Rings: The two ends of the armature are connected with the help of slip rings.
Brushes: Two brushes, made up of graphite or a flexible metal rod, are pressed against the two slip rings. These brushes are responsible for feeding the current produced in the armature coil to the external circuit via wires.
Energy Source: The armature coil is rotated about its axis with the help of a turbine. The rotational kinetic energy of the turbine is the factor that helps an AC generator produce electricity.
Source: Myschool Past Questions Archive (Record #29295)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
Why is it impossible for the lines of force of an electric field to cross one another?
A
like charges repel each other
B
a charged particle is deflected by an eletric field
C
like charges are arranged on the same line of force
D
a positively charged particle can travel in only one direction at any time
E
none of these is correct
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Electric field lines do not intersect each other because if they do, then the field at the point of intersection will not have a unique direction.
Source: Myschool Past Questions Archive (Record #29298)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
A potential difference of 6v is used to produce a current of 5A for 200s through a heating coil. The heat produced is
A
4800 cal
B
6000 cal
C
2400J
D
240k cal
E
6000J
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Heat energy = Elect. energy = Ivt
= 5 x 6 x 200
= 6,000J
Source: Myschool Past Questions Archive (Record #29299)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
A herdsman yelling out to fellow herdsman heard his voice reflected by cliff 4s later. What is the velocity of sound in air if the cliff is 680m away?
A
170ms-1
B
136ms-1
C
340ms-1
D
680ms-1
E
510ms-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Velocity = \(\frac{\text{distance}}{\text{time}}\)
echo time = halt total time
= \(\frac{1}{2}\) x 4 = 2
velocity = \(\frac{680}{2}\)
= 340ms\(^{-1}\)
Source: Myschool Past Questions Archive (Record #29311)
Physics
UTME / JAMB 1978
Mechanics and Properties of Matter
Solution
Two lamps are rated 40W and 220V each are connected in series. The total power dissipated in both lamps is
A
10W
B
20W
C
40W
D
80W
E
None of the above
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The total power dissipated by both lamps = 40W + 40W = 80W
Since they are connected in series, the total power dissipated will be equal to the sum of the power dissipated in each lamp.
Source: Myschool Past Questions Archive (Record #41580)