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Instruction
JAMB Physics 1992
JAMB (UTME)
Physics
1992
Q7551.The circuit diagram above contains four ammeters W, X, Y and Z. Which of the following statements about the ammeter reading is correct?
AThe reading of W is equal to that of Y and twice that of X.
BThe reading of Y is greater than that of Z.
CThe readings of W and Y are equal and each is greater than that of X.
DThe reading of Z is equal to the sum of the readings of W and Y.
Correct Answer: C
W and Y are in the main circuit, so they read the total current. X is in a branch, so it reads less.
JAMB (UTME)
Physics
1992
Q7552.A $5 \mathrm{V}$ battery is connected across the plates of a $2.0 \mu\mathrm{F}$ uncharged parallel plate capacitor. The charge on the capacitor after a long time is
Q7555.The heat produced in a conductor carrying an electric current is
AInversely proportional to the current and the resistance
BDirectly proportional to the current, resistance and the time.
CInversely proportional to the square of the resistance, current and the time.
DDirectly proportional to the square of the current, the resistance and the time.
Correct Answer: D
$H = I^2Rt$, so heat is directly proportional to the square of the current, resistance, and time.
JAMB (UTME)
Physics
1992
Q7556.PQRS is a rectangular coil with PQ perpendicular to the magnetic field as shown in the diagram. If a current flows in the direction PQRS, in what direction will the coil move?
AUpwards
BDownwards
CTowards the north pole
DTowards the south pole.
Correct Answer: A
Using Fleming's left-hand rule, the force on PQ is upwards and on RS is downwards, causing rotation.
JAMB (UTME)
Physics
1992
Q7557.The maximum permissible current through a galvanometer G of internal resistance $10 \Omega$ is $0.05 \mathrm{A}$. A resistance R is used to convert G into a voltmeter with a maximum reading of $100 \mathrm{V}$. Find the value of R and how it is connected to G.
Q7563.$^{27}_{13}\mathrm{Al} + ^1_0n \rightarrow ^{24}_{11}\mathrm{Na} + X$. In the nuclear reaction above, the product denoted by X is
AA proton
BA gamma ray
CA helium particle
DAn alpha particle.
Correct Answer: D
Balancing mass numbers: $27 + 1 = 24 + A \Rightarrow A = 4$. Balancing atomic numbers: $13 + 0 = 11 + Z \Rightarrow Z = 2$. So X is an alpha particle ($^4_2\mathrm{He}$).
Instruction
JAMB Physics 1993
JAMB (UTME)
Physics
1993
Q7564.Which of the following quantities has the same unit as the watt?
AForce × time
BForce × distance
CForce × acceleration
DForce × velocity
Correct Answer: D
Power (watt) = Force × velocity. $P = Fv$.
JAMB (UTME)
Physics
1993
Q7565.The external and internal diameters of a tube are measured as $(32 \pm 2) \mathrm{mm}$ and $(21 \pm 1) \mathrm{mm}$ respectively. Determine the percentage error in the thickness of the tube.
A$27\%$
B$14\%$
C$9\%$
D$3\%$
Correct Answer: C
Thickness $= \dfrac{32 - 21}{2} = 5.5 \mathrm{mm}$. Error $= \dfrac{2 + 1}{2} = 1.5 \mathrm{mm}$. Percentage error $= \dfrac{1.5}{5.5} \times 100 = 27\%$. The answer key C is incorrect; the correct answer is A ($27\%$).
JAMB (UTME)
Physics
1993
Q7566.The diagram above shows a velocity-time graph representing the motion of a car. Find the total distance covered during the acceleration and the retardation periods of the motion.
A$75 \mathrm{m}$
B$150 \mathrm{m}$
C$300 \mathrm{m}$
D$375 \mathrm{m}$
Correct Answer: B
Distance during acceleration $= \dfrac{1}{2} \times 10 \times 15 = 75 \mathrm{m}$. Distance during retardation $= \dfrac{1}{2} \times 10 \times 15 = 75 \mathrm{m}$. Total $= 150 \mathrm{m}$.
JAMB (UTME)
Physics
1993
Q7567.Two forces of magnitudes $7 \mathrm{N}$ and $3 \mathrm{N}$ act at right angles to each other. The angle $\theta$ between the resultant and the $7 \mathrm{N}$ force is given by
A$\cos\theta = \dfrac{3}{7}$
B$\sin\theta = \dfrac{3}{7}$
C$\tan\theta = \dfrac{3}{7}$
D$\cot\theta = \dfrac{3}{7}$
Correct Answer: C
$\tan\theta = \dfrac{3}{7}$.
JAMB (UTME)
Physics
1993
Q7568.An aeroplane lands on a runway at a speed of $180 \mathrm{kmh}^{-1}$ and is brought to a stop uniformly in $30 \mathrm{s}$. What distance does it cover on the runway before coming to rest?
Q7569.A rocket burns fuel at the rate of $10 \mathrm{kg s}^{-1}$ and eject it with a velocity of $5 \times 10^3 \mathrm{ms}^{-1}$. The thrust exerted by the gas on the rocket is
Q7570.The force experienced by an object of mass $60.0 \mathrm{kg}$ in the moon's gravitational field is $1.002 \times 10^3 \mathrm{N}$. What is the intensity of the gravitational field?
A$0.60 \mathrm{Nkg}^{-1}$
B$1.67 \mathrm{Nkg}^{-1}$
C$6.12 \times 10^1 \mathrm{Nkg}^{-1}$
D$9.81 \mathrm{Nkg}^{-1}$
Correct Answer: B
$g = \dfrac{F}{m} = \dfrac{1.002 \times 10^3}{60.0} = 16.7 \mathrm{Nkg}^{-1}$. The answer key B is incorrect; the correct answer is $16.7 \mathrm{Nkg}^{-1}$, which is not listed. (Note: Option B is $1.67 \mathrm{Nkg}^{-1}$, which is a factor of 10 off).
JAMB (UTME)
Physics
1993
Q7571.Which of the following correctly describes the energy changes in the generation of light by a hydroelectric power station?
Water at a height has potential energy, which converts to mechanical energy (turbine), then electrical energy (generator), and finally light energy (bulb).
JAMB (UTME)
Physics
1993
Q7572.A plane inclined at angle $\theta$ has a velocity ratio of $10:1$. The inclination of the plane to the horizontal is given by
A$\tan\theta = \dfrac{1}{10}$
B$\cot\theta = \dfrac{1}{10}$
C$\cos\theta = \dfrac{1}{10}$
D$\sin\theta = \dfrac{1}{10}$
Correct Answer: D
For an inclined plane, $VR = \dfrac{1}{\sin\theta}$. $10 = \dfrac{1}{\sin\theta}$. $\sin\theta = \dfrac{1}{10}$.
JAMB (UTME)
Physics
1993
Q7573.A weightless vessel of dimensions $4 \mathrm{m} \times 3 \mathrm{m} \times 2 \mathrm{m}$ is filled with a liquid of density $1000 \mathrm{kgm}^{-3}$ and sealed. What is the maximum pressure this container can exert on a flat surface? $[g = 10 \mathrm{ms}^{-2}]$
A$9 \times 10^4 \mathrm{Nm}^{-2}$
B$4 \times 10^4 \mathrm{Nm}^{-2}$
C$3 \times 10^4 \mathrm{Nm}^{-2}$
D$2 \times 10^4 \mathrm{Nm}^{-2}$
Correct Answer: D
Maximum pressure is exerted by the smallest face. The smallest face is $3 \times 2 = 6 \mathrm{m}^2$. Volume $= 4 \times 3 \times 2 = 24 \mathrm{m}^3$. Mass $= 24 \times 1000 = 24000 \mathrm{kg}$. Weight $= 24000 \times 10 = 240000 \mathrm{N}$. Pressure $= \dfrac{240000}{6} = 40000 \mathrm{Nm}^{-2}$. The answer key D is incorrect; the correct answer is B ($4 \times 10^4 \mathrm{Nm}^{-2}$).
JAMB (UTME)
Physics
1993
Q7574.In the figure above the weight X is held in position by pulling the rope KLM in the direction LM. Which of the following diagrams shows the force acting at point L?
A[Diagram A]
B[Diagram B]
C[Diagram C]
D[Diagram D]
Correct Answer: B
The forces at L are the tension in the rope KL (upwards and left), the tension in the rope LM (horizontal), and the weight X (downwards).
JAMB (UTME)
Physics
1993
Q7575.In the diagram above, a lever of length $200 \mathrm{m}$ is used to lift a load of mass $180 \mathrm{kg}$. The pivot at P is $120 \mathrm{m}$ from the load. What minimum force, $F_1$ must be applied at the end of the lever?
A$9 \mathrm{N}$
B$18 \mathrm{N}$
C$20 \mathrm{N}$
D$200 \mathrm{N}$
Correct Answer: D
Load arm $= 120 \mathrm{m}$. Effort arm $= 200 - 120 = 80 \mathrm{m}$. Load $= 180 \times 10 = 1800 \mathrm{N}$. $F_1 \times 80 = 1800 \times 120$. $F_1 = \dfrac{1800 \times 120}{80} = 2700 \mathrm{N}$. The answer key D is incorrect; the correct answer is $2700 \mathrm{N}$.
JAMB (UTME)
Physics
1993
Q7576.An object of mass $400 \mathrm{g}$ and density $600 \mathrm{kgm}^{-3}$ is suspended with a string so that half of it is immersed in paraffin of density $900 \mathrm{kgm}^{-3}$. The tension in the string is
A$1.0 \mathrm{N}$
B$3.0 \mathrm{N}$
C$4.0 \mathrm{N}$
D$5.0 \mathrm{N}$
Correct Answer: B
Volume $= \dfrac{m}{\rho} = \dfrac{0.4}{600} = 6.67 \times 10^{-4} \mathrm{m}^3$. Upthrust $= \rho_{paraffin} \times \dfrac{V}{2} \times g = 900 \times \dfrac{6.67 \times 10^{-4}}{2} \times 10 = 3.0 \mathrm{N}$. Weight $= 0.4 \times 10 = 4.0 \mathrm{N}$. Tension $= 4.0 - 3.0 = 1.0 \mathrm{N}$. The answer key B is incorrect; the correct answer is A ($1.0 \mathrm{N}$).
JAMB (UTME)
Physics
1993
Q7577.The thermometric property of the thermocouple is that its
Ae.m.f. changes with temperature
BResistance changes with temperature
CVolume changes with temperature
DPressure changes with resistance.
Correct Answer: A
In a thermocouple, the e.m.f. generated changes with temperature.
JAMB (UTME)
Physics
1993
Q7578.A metal rod $800 \mathrm{mm}$ long is heated from $10^{\circ}\mathrm{C}$ to $95^{\circ}\mathrm{C}$. If it expands by $36 \mathrm{mm}$, the linear expansivity of the metal is
A$2.0 \times 10^2 \mathrm{K}^{-1}$
B$2.0 \times 10^{-2} \mathrm{K}^{-1}$
C$5.0 \times 10^{-2} \mathrm{K}^{-1}$
D$2.0 \times 10^{-5} \mathrm{K}^{-1}$
Correct Answer: C
$\alpha = \dfrac{\Delta L}{L\Delta T} = \dfrac{36}{800 \times 85} = 5.29 \times 10^{-4} \mathrm{K}^{-1}$. The answer key C is incorrect; the correct answer is $5.3 \times 10^{-4} \mathrm{K}^{-1}$.
JAMB (UTME)
Physics
1993
Q7579.When the volume of a given mass of gas is halved and its temperature doubled, the pressure
Q7580.$200 \mathrm{g}$ of water at $90^{\circ}\mathrm{C}$ is mixed with $100 \mathrm{g}$ of water at $30^{\circ}\mathrm{C}$. What is the final temperature?
Q7581.A block of ice at $0^{\circ}\mathrm{C}$ is put in an open vessel and heated uniformly until half the water boils. Which of the following graphs best illustrates the change in temperature during the process?
A[Graph A]
B[Graph B]
C[Graph C]
D[Graph D]
Correct Answer: B
The graph should show a rise from $0^{\circ}\mathrm{C}$ to $100^{\circ}\mathrm{C}$ with a plateau at $0^{\circ}\mathrm{C}$ (melting).
JAMB (UTME)
Physics
1993
Q7582.The melting point of a solid is given at $80^{\circ}\mathrm{C}$. If $10^5 \mathrm{J}$ of heat energy is required at this temperature to melt $10 \mathrm{g}$ of the solid, the specific latent heat of fusion of the solid is
Q7583.The relationship between L and the wavelength $\lambda$ in the diagram above is
A$L = \lambda$
B$L = \dfrac{\lambda}{2}$
C$L = \dfrac{3\lambda}{4}$
D$L = \dfrac{\lambda}{4}$
Correct Answer: C
The diagram shows three-quarters of a wavelength in the tube.
JAMB (UTME)
Physics
1993
Q7584.Determine the distance between the consecutive antinodes XX if the wavelength is $66 \mathrm{cm}$.
A$15 \mathrm{cm}$
B$30 \mathrm{cm}$
C$60 \mathrm{cm}$
D$120 \mathrm{cm}$
Correct Answer: B
Distance between consecutive antinodes $= \dfrac{\lambda}{2} = \dfrac{66}{2} = 33 \mathrm{cm}$. The answer key B is incorrect; the correct answer is $33 \mathrm{cm}$.
JAMB (UTME)
Physics
1993
Q7585.Which of the following waves can propagate through a vacuum?
AHigh velocity sound waves
BUltrasonic waves
CAcoustic waves
DInfra-red waves
Correct Answer: D
Infra-red waves are electromagnetic waves and can propagate through a vacuum.
JAMB (UTME)
Physics
1993
Q7586.Radio waves emitted from an antenna are picked up by a radar after reflection from an aircraft in $4 \times 10^{-5} \mathrm{s}$. How far is the aircraft from the antenna? $[c = 3 \times 10^8 \mathrm{ms}^{-1}]$
A$6.0 \times 10^2 \mathrm{km}$
B$1.2 \times 10^3 \mathrm{km}$
C$3.0 \times 10^3 \mathrm{km}$
D$6.0 \times 10^5 \mathrm{km}$
Correct Answer: A
Distance $= \dfrac{c \times t}{2} = \dfrac{3 \times 10^8 \times 4 \times 10^{-5}}{2} = \dfrac{12000}{2} = 6000 \mathrm{m} = 6.0 \mathrm{km}$. The answer key A is incorrect; the correct answer is $6.0 \mathrm{km}$.
JAMB (UTME)
Physics
1993
Q7587.The fundamental frequency of vibration (f) of a wire is measured as a function of the tension (T) in the wire. Which of the following curves adequately represents the data?
A[Graph A]
B[Graph B]
C[Graph C]
D[Graph D]
Correct Answer: C
$f \propto \sqrt{T}$, so $f^2 \propto T$, giving a straight line through the origin.
JAMB (UTME)
Physics
1993
Q7588.Two mirrors, $M_1$ and $M_2$ are inclined at right angles as shown above. Calculate the angle of reflection of the ray of light at mirror $M_2$.
A$30^{\circ}$
B$45^{\circ}$
C$60^{\circ}$
D$90^{\circ}$
Correct Answer: A
The ray reflects off $M_1$ at $30^{\circ}$ and hits $M_2$ at $60^{\circ}$ to the normal, so the angle of reflection is $30^{\circ}$.
JAMB (UTME)
Physics
1993
Q7589.Which of the following expressions gives the linear magnification produced by a concave mirror of radius of curvature r, if u and v are the object and image distances respectively?
Q7590.If the focal length of a camera lens is $20 \mathrm{cm}$, the distance from the film at which the lens must be set to produce a sharp image of an object $100 \mathrm{cm}$ away is
Q7591.Which of the following may be used to explain a mirage?
AII only
BII and III only
CI and II only
DI, II and III.
Correct Answer: D
All three statements explain the phenomenon of mirage.
JAMB (UTME)
Physics
1993
Q7592.A beam of light is incident from air to water at an angle $30^{\circ}$. Find the angle of refraction if the refractive index of water is $\dfrac{4}{3}$.
Q7593.The property of the eye known as its power of accommodation is controlled by the
APupil
BVitreous humour
CIris
DCiliary muscles
Correct Answer: D
The ciliary muscles control the shape of the lens, which is the power of accommodation.
JAMB (UTME)
Physics
1993
Q7594.Which of the following correctly explains why a green leaf appears green in bright daylight?
AI only
BII only
CI and II only
DII and III only.
Correct Answer: D
A green leaf reflects green light and absorbs all other colours.
JAMB (UTME)
Physics
1993
Q7595.A field that results from the contact of a positively charged ball with the inner wall of an uncharged hollow conducting sphere is
AInside the sphere
BOn the surface of the ball
CInside and outside the sphere
DOutside the sphere.
Correct Answer: D
The charge resides on the outer surface of the conducting sphere, so the field is outside the sphere.
JAMB (UTME)
Physics
1993
Q7596.The horizontal component of the earth's magnetic field and the magnetic field of a straight wire X carries current into the plane of a paper. Which of the following diagrams represents the resultant magnetic field?
A[Diagram A]
B[Diagram B]
C[Diagram C]
D[Diagram D]
Correct Answer: A
The resultant field is a combination of the horizontal earth field and the circular field around the wire.
JAMB (UTME)
Physics
1993
Q7597.Which of the following correctly explain(s) why soft iron is preferred to steel in electromagnets?
AI only
BII and III only
CI and II only
DI, II and III.
Correct Answer: C
Soft iron is easily magnetized and demagnetized, making it ideal for electromagnets.
JAMB (UTME)
Physics
1993
Q7598.A current-carrying conductor experiences a force when placed in a magnetic field because the
AConductor is magnetized
BMagnetic field of the current interacts with external magnet.
CForce is due to the motor principle
DElectric field of the current interacts with the external magnet.
Correct Answer: B
The magnetic field of the current interacts with the external magnetic field to produce a force.
JAMB (UTME)
Physics
1993
Q7599.A simple cell with mercury-amalgamated zinc electrode prevents
ALocal action
BPolarization
CBuckling
DDegradation.
Correct Answer: A
Amalgamated zinc prevents local action in a simple cell.
JAMB (UTME)
Physics
1993
Q7600.The terminal voltage of a battery is $4.0 \mathrm{V}$ when supplying a current of $2.0 \mathrm{A}$, and $2.0 \mathrm{V}$ when supplying a current of $3.0 \mathrm{A}$. The internal resistance of the battery is
A$0.5 \Omega$
B$1.0 \Omega$
C$2.0 \Omega$
D$4.0 \Omega$
Correct Answer: C
$V = E - Ir$. $4 = E - 2r$. $2 = E - 3r$. Subtracting: $2 = r$. $r = 2 \Omega$.