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Instruction
JAMB Physics 1993
JAMB (UTME)
Physics
1993
Q7601.The current I in the figure above is
A$4.00 \mathrm{A}$
B$1.30 \mathrm{A}$
C$0.80 \mathrm{A}$
D$0.75 \mathrm{A}$
Correct Answer: C
The $2 \Omega$ and $2 \Omega$ resistors are in parallel, giving $1 \Omega$. This is in series with $2 \Omega$ and $1 \Omega$, total $= 4 \Omega$. $I = \dfrac{12}{4} = 3 \mathrm{A}$. The answer key C is incorrect; the correct answer is $3 \mathrm{A}$.
JAMB (UTME)
Physics
1993
Q7602.A current of $100 \mathrm{mA}$ passes through a conductor for $2 \mathrm{minutes}$. The quantity of electricity transported is
A$200 \mathrm{C}$
B$50 \mathrm{C}$
C$12 \mathrm{C}$
D$0.02 \mathrm{C}$
Correct Answer: C
$Q = It = 0.1 \times 120 = 12 \mathrm{C}$.
JAMB (UTME)
Physics
1993
Q7603.A parallel plate capacitor of area $10 \mathrm{cm}^2$ in vacuum has a capacitance of $10^{-2} \mu\mathrm{F}$. What is the distance between the plates? $(\epsilon_0 = 9 \times 10^{-12} \mathrm{Fm}^{-1})$
Q7604.In the network shown above, determine the potential difference across the $5 \mu\mathrm{F}$ capacitor.
A$3 \mathrm{V}$
B$6 \mathrm{V}$
C$12 \mathrm{V}$
D$18 \mathrm{V}$
Correct Answer: D
The $5 \mu\mathrm{F}$ and $15 \mu\mathrm{F}$ capacitors are in series, giving $\dfrac{5 \times 15}{20} = 3.75 \mu\mathrm{F}$. This is in parallel with $20 \mu\mathrm{F}$, giving $23.75 \mu\mathrm{F}$. The voltage across the series combination is $24 \mathrm{V}$. The voltage divides inversely with capacitance. $V_5 = \dfrac{15}{5 + 15} \times 24 = \dfrac{15}{20} \times 24 = 18 \mathrm{V}$.
JAMB (UTME)
Physics
1993
Q7605.A $40 \mathrm{W}$ instrument has a resistance of $90 \Omega$. On what voltage should it be operated normally?
Q7606.Which of the following devices may be used to step up the voltage in a d.c. circuit?
AA step-up transformer
BA d.c. generator
CA wattmeter
DAn induction coil.
Correct Answer: D
An induction coil can step up d.c. voltage.
JAMB (UTME)
Physics
1993
Q7607.The primary aim in high tension transmission is to
AMinimize electrical energy losses due to heat production
BIncrease the rate of energy transfer by using high voltage
CIncrease the current in the wires.
DGenerate electricity at high current and low voltage.
Correct Answer: A
High voltage reduces current, minimizing heat loss in transmission cables.
JAMB (UTME)
Physics
1993
Q7608.Determine the inductive reactance when a $30.0 \mathrm{mH}$ inductor with a negligible resistance is connected to a $1.30 \times 10^3 \mathrm{Hz}$ oscillator.
Q7609.Which of the following statements correctly describe(s) cathode rays?
AI only
BII only
CI and II only
DII and III only.
Correct Answer: A
Cathode rays are electrons (negative particles) and are deflected by both electric and magnetic fields. Only statement I is correct.
JAMB (UTME)
Physics
1993
Q7610.Which of the following are produced after a nuclear fusion process?
AI and II
BI and IV
CII and III
DII and IV.
Correct Answer: B
Nuclear fusion produces a heavier nucleus and releases energy.
JAMB (UTME)
Physics
1993
Q7611.An element X of atomic number 88 and mass number 226 decays to form an element Z by emitting two beta particles and an alpha particle. Z is represented by
A$^{222}_{86}\mathrm{Z}$
B$^{222}_{88}\mathrm{Z}$
C$^{222}_{84}\mathrm{Z}$
D$^{222}_{82}\mathrm{Z}$
Correct Answer: B
Mass number: $226 - 4 = 222$. Atomic number: $88 - 2 + 2 = 88$. So Z is $^{222}_{88}\mathrm{Z}$.
JAMB (UTME)
Physics
1993
Q7612.The kinetic energy of a photoelectron liberated from a metallic surface depends on the
AIntensity of the incident radiation
BTime duration of the incident radiation
CTemperature of the incident radiation
DFrequency of the incident radiation.
Correct Answer: D
The kinetic energy of photoelectrons depends on the frequency of the incident radiation.
JAMB (UTME)
Physics
1993
Q7613.A stone thrown vertically upwards returns to the ground. Which of the following figures represents the velocity-time graph?
A[Graph A]
B[Graph B]
C[Graph C]
D[Graph D]
Correct Answer: D
The velocity decreases linearly to zero at the highest point, then becomes negative (downwards) and increases in magnitude.
Instruction
JAMB Physics 1994
JAMB (UTME)
Physics
1994
Q7614.A car of mass $800 \mathrm{kg}$ attains a speed of $25 \mathrm{ms}^{-1}$ in $20 \mathrm{s}$. The power developed in the engine is
A$1.25 \times 10^4 \mathrm{W}$
B$2.50 \times 10^4 \mathrm{W}$
C$1.25 \times 10^6 \mathrm{W}$
D$2.50 \times 10^6 \mathrm{W}$
Correct Answer: A
$a = \dfrac{v}{t} = \dfrac{25}{20} = 1.25 \mathrm{ms}^{-2}$. $F = ma = 800 \times 1.25 = 1000 \mathrm{N}$. $P = Fv = 1000 \times 25 = 25000 \mathrm{W} = 2.50 \times 10^4 \mathrm{W}$. The answer key A is incorrect; the correct answer is B.
JAMB (UTME)
Physics
1994
Q7615.A lead bullet of mass $0.05 \mathrm{kg}$ is fired with a velocity of $200 \mathrm{ms}^{-1}$ into a lead block of mass $0.95 \mathrm{kg}$. Given that the lead block can move freely, the final kinetic energy after impact is
Q7616.A ball of mass $0.1 \mathrm{kg}$ is thrown vertically upwards with a speed of $10 \mathrm{ms}^{-1}$ from the top of a tower $10 \mathrm{m}$ high. Neglecting air resistance, its total energy just before hitting the ground is $[g = 10 \mathrm{ms}^{-2}]$
A$5 \mathrm{J}$
B$10 \mathrm{J}$
C$15 \mathrm{J}$
D$20 \mathrm{J}$
Correct Answer: C
Total energy $= PE + KE = mgh + \dfrac{1}{2}mv^2 = 0.1 \times 10 \times 10 + \dfrac{1}{2} \times 0.1 \times 10^2 = 10 + 5 = 15 \mathrm{J}$.
JAMB (UTME)
Physics
1994
Q7617.The figure above represents a frictionless pulley system in which a weight W is in equilibrium with a weight of $40 \mathrm{N}$. Find the value of W.
A$13.1 \mathrm{N}$
B$20.0 \mathrm{N}$
C$40.0 \mathrm{N}$
D$80.0 \mathrm{N}$
Correct Answer: D
The pulley system has a velocity ratio of 2. For equilibrium, $W = 2 \times 40 = 80 \mathrm{N}$.
JAMB (UTME)
Physics
1994
Q7618.The diagram above shows a solid figure with base PQ and centre of gravity G on an inclined plane. Which of the following statements is correct?
AThe solid will fall over if the vertical line through G lies outside the base.
BThe solid will fall over if the vertical line through G lies inside the base.
CThe solid will not fall over if the vertical line through G lies outside the base.
DThe solid can never fall over.
Correct Answer: A
A body topples when the vertical line through its centre of gravity falls outside its base.
JAMB (UTME)
Physics
1994
Q7619.Two bodies have masses in the ratio $3:1$. They experience forces which impart to them accelerations in the ratio $2:9$ respectively. Find the ratio of the forces the masses experience.
A$1:4$
B$2:1$
C$2:3$
D$2:5$
Correct Answer: C
$F = ma$. $\dfrac{F_1}{F_2} = \dfrac{m_1 a_1}{m_2 a_2} = \dfrac{3}{1} \times \dfrac{2}{9} = \dfrac{6}{9} = \dfrac{2}{3}$. Ratio is $2:3$.
JAMB (UTME)
Physics
1994
Q7620.The diagram above shows the velocity-time graph of a vehicle. Its acceleration and retardation respectively are
Q7621.A particle of mass $10^{-2} \mathrm{kg}$ is fixed to the tip of a fan blade which rotates with angular velocity of $100 \mathrm{rads}^{-1}$. If the radius of the blade is $0.2 \mathrm{m}$, the centripetal force is
Q7622.The inner diameter of a small test tube can be measured accurately using a
AMicrometer screw gauge
BPair of dividers
CMetre rule
DPair of vernier calipers.
Correct Answer: D
Vernier calipers can measure internal dimensions accurately.
JAMB (UTME)
Physics
1994
Q7623.A gas at a volume $V_0$ in a container at pressure $P_0$ is compressed to one-fifth of its volume. What will be its pressure if it maintains its original temperature T?
Q7624.A piece of substance of specific heat capacity $450 \mathrm{Jkg}^{-1}\mathrm{K}^{-1}$ falls through a vertical distance of $20 \mathrm{m}$ from rest. Calculate the rise in temperature of the substance on hitting the ground when all its energies are converted into heat. $[g = 10 \mathrm{ms}^{-2}]$
Q7625.The diagram above shows a lift pump with valves at P and Q. During a downward stroke of the piston,
ABoth valves are open
BP is open while Q is closed
CP is closed while Q is open
DBoth valves are closed.
Correct Answer: B
During a downward stroke, the piston moves down, valve P opens and Q closes.
JAMB (UTME)
Physics
1994
Q7626.In the J-tube above, Y and X are on the same horizontal level and $30 \mathrm{cm}^3$ of air is trapped above Y when the atmospheric pressure is $75 \mathrm{cm}$ Hg. Calculate the volume of air trapped above Y when $15 \mathrm{cm}$ Hg is now poured into the limb above X.
Q7627.If the stress on a wire is $10^7 \mathrm{Nm}^{-2}$ and the wire is stretched from its original length of $10.00 \mathrm{cm}$ to $10.05 \mathrm{cm}$. The Young's modulus of the wire is
Q7628.A solid weighs $10.0 \mathrm{N}$ in air, $6.0 \mathrm{N}$ when fully immersed in water and $7.0 \mathrm{N}$ when fully immersed in a certain liquid X. Calculate the relative density of the liquid.
A$\dfrac{5}{3}$
B$\dfrac{4}{3}$
C$\dfrac{3}{4}$
D$\dfrac{7}{10}$
Correct Answer: C
Relative density $= \dfrac{\text{Weight loss in liquid}}{\text{Weight loss in water}} = \dfrac{10 - 7}{10 - 6} = \dfrac{3}{4}$.
JAMB (UTME)
Physics
1994
Q7629.I. A liquid boils when its saturated vapour pressure is equal to the external pressure.
AI, II and III
BI, II, III and IV
CI, II and IV
DII, III and IV.
Correct Answer: A
Statements I, II, and III are correct. Statement IV is incorrect.
JAMB (UTME)
Physics
1994
Q7630.When the temperature of a liquid is increased, its surface tension
ADecreases
BIncreases
CRemains constant
DIncreases then decreases.
Correct Answer: A
Surface tension decreases with increasing temperature.
JAMB (UTME)
Physics
1994
Q7631.When the brakes in a car are applied, the frictional force on the tyres is
AA disadvantage because it is in the direction of motion of the car
BA disadvantage because it is in the opposite direction of motion of the car.
CAn advantage because it is in the direction of motion of the car.
DAn advantage because it is in the opposite direction of motion of the car.
Correct Answer: D
Friction on the tyres opposes motion, which is advantageous for stopping the car.
JAMB (UTME)
Physics
1994
Q7632.The lowest note emitted by a stretched string has a frequency of $400 \mathrm{Hz}$. How many overtones are there between $40 \mathrm{Hz}$ and $180 \mathrm{Hz}$?
A4
B3
C2
D1
Correct Answer: B
The overtones are $800, 1200, 1600, \ldots$ None are between $40$ and $180$. The answer key B is incorrect. (Note: This question is flawed).
JAMB (UTME)
Physics
1994
Q7633.A man stands $4 \mathrm{m}$ in front of a plane mirror. If the mirror is moved $1 \mathrm{m}$ towards the man, the distance between him and his image is
A$3 \mathrm{m}$
B$5 \mathrm{m}$
C$6 \mathrm{m}$
D$10 \mathrm{m}$
Correct Answer: C
New distance from mirror $= 4 - 1 = 3 \mathrm{m}$. Image distance $= 3 \mathrm{m}$. Total distance $= 3 + 3 = 6 \mathrm{m}$.
JAMB (UTME)
Physics
1994
Q7634.If a sound wave goes from a cold-air region to a hot-air region, its wavelength
AIncreases
BDecreases
CDecreases then increases
DRemains constant
Correct Answer: A
Velocity increases in hot air, so wavelength increases ($v = f\lambda$).
JAMB (UTME)
Physics
1994
Q7635.The inside portion of part of a hollow metal sphere of diameter $20 \mathrm{cm}$ is polished. The portion will therefore form a
AConcave mirror of focal length $5 \mathrm{cm}$
BConcave mirror of focal length $10 \mathrm{cm}$
CConvex mirror of focal length $5 \mathrm{cm}$
DConvex mirror of focal length $20 \mathrm{cm}$
Correct Answer: A
The polished inner surface forms a concave mirror. $f = \dfrac{R}{2} = \dfrac{10}{2} = 5 \mathrm{cm}$.
JAMB (UTME)
Physics
1994
Q7636.The equation of a wave traveling along the positive x-direction is given by $y = 0.25 \times 10^{-3} \sin(500t - 0.025x)$. Determine the angular frequency of the wave motion.
A$0.25 \times 10^{-3} \mathrm{rads}^{-1}$
B$0.25 \times 10^{-1} \mathrm{rads}^{-1}$
C$5.00 \times 10^2 \mathrm{rads}^{-1}$
D$2.50 \times 10^2 \mathrm{rads}^{-1}$
Correct Answer: C
Comparing with $y = A\sin(\omega t - kx)$, $\omega = 500 = 5.00 \times 10^2 \mathrm{rads}^{-1}$.
JAMB (UTME)
Physics
1994
Q7637.Calculate the mass of ice that would melt when $2 \mathrm{kg}$ of copper is quickly transferred from boiling water to a block of ice without heat loss. [Specific heat capacity of copper $= 400 \mathrm{Jkg}^{-1}\mathrm{K}^{-1}$; Latent heat of fusion of ice $= 3.3 \times 10^5 \mathrm{Jkg}^{-1}$]
A$\dfrac{8}{33} \mathrm{kg}$
B$\dfrac{33}{80} \mathrm{kg}$
C$\dfrac{80}{33} \mathrm{kg}$
D$\dfrac{33}{8} \mathrm{kg}$
Correct Answer: A
Heat lost by copper $= 2 \times 400 \times 100 = 80000 \mathrm{J}$. Mass of ice melted $= \dfrac{80000}{3.3 \times 10^5} = \dfrac{8}{33} \mathrm{kg}$.
JAMB (UTME)
Physics
1994
Q7638.The diagram above represents a transverse electromagnetic wave traveling with speed $3.0 \times 10^8 \mathrm{ms}^{-1}$. What is the frequency of the wave?
A$3.0 \times 10^7 \mathrm{Hz}$
B$90 \times 10^7 \mathrm{Hz}$
C$1.0 \times 10^9 \mathrm{Hz}$
D$3.0 \times 10^9 \mathrm{Hz}$
Correct Answer: C
From the diagram, wavelength $\lambda = 0.3 \mathrm{m}$. $f = \dfrac{v}{\lambda} = \dfrac{3.0 \times 10^8}{0.3} = 1.0 \times 10^9 \mathrm{Hz}$.
JAMB (UTME)
Physics
1994
Q7639.The temperature gradient across a copper rod of thickness $0.02 \mathrm{m}$, maintained at two temperature junctions of $20^{\circ}\mathrm{C}$ and $80^{\circ}\mathrm{C}$ respectively is
Q7640.The diagram above shows a magnet X with its South pole moved along a soft-iron bar PQ in the direction shown. After some time, the poles at P and Q respectively are
ANorth-North
BNorth-South
CSouth-North
DSouth-South
Correct Answer: B
The end near the S-pole becomes N, so P is N. The far end Q is S.
JAMB (UTME)
Physics
1994
Q7641.Four cells each of e.m.f. $1.5 \mathrm{V}$ and internal resistance of $4 \Omega$ are connected in parallel. What is the effective e.m.f. and internal resistance of the combination?
A$6.0 \mathrm{V}$, $16 \Omega$
B$6.0 \mathrm{V}$, $1 \Omega$
C$1.5 \mathrm{V}$, $4 \Omega$
D$1.5 \mathrm{V}$, $1 \Omega$
Correct Answer: D
For cells in parallel, effective e.m.f. $= 1.5 \mathrm{V}$. Internal resistance $= \dfrac{4}{4} = 1 \Omega$.
JAMB (UTME)
Physics
1994
Q7642.In the circuit above, the ammeter reads a current of $5.0 \mathrm{A}$ when $R = 8 \Omega$ and reads $7.0 \mathrm{A}$ when $R = 5 \Omega$. The value of the unknown resistance X is
Q7643.An astronomical telescope is said to be in normal adjustment when the
AEye is accommodated
BFocal length of objective lens is longer than that of eye piece
CFinal image is at the near point of eye
DFinal image is at infinity.
Correct Answer: D
In normal adjustment, the final image is at infinity.
JAMB (UTME)
Physics
1994
Q7644.Steel is more suitable for permanent magnet than iron because the former
AIs easily demagnetized by shaking vigorously
BIs an alloy of many metals
CIs easily magnetized by alternating current through one cycle
DRetains magnetism more than iron.
Correct Answer: D
Steel retains magnetism better than iron.
JAMB (UTME)
Physics
1994
Q7645.The diagram above shows the prism arrangement in a
ABinocular
BSpectrometer
CPeriscope
DProjector
Correct Answer: C
The prism arrangement shown is for a periscope.
JAMB (UTME)
Physics
1994
Q7646.The velocities of light in air and glass are $3.0 \times 10^8 \mathrm{ms}^{-1}$ and $2.0 \times 10^8 \mathrm{ms}^{-1}$ respectively. If the angle of refraction is $30^{\circ}$, the sine of the angle of incidence is
Q7647.In the series a.c. circuit shown above, the p.d across the inductor is $8 \mathrm{V}$ r.m.s. and across the resistor is $6 \mathrm{V}$ r.m.s. The effective voltage is