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Instruction
JAMB Physics 1996
JAMB (UTME)
Physics
1996
Q7751.Which of the following diagrams show the correct magnetic lines of force of a vertical wire XY carrying a current I?
A[Diagram A]
B[Diagram B]
C[Diagram C]
D[Diagram D]
Correct Answer: C
The magnetic field lines around a straight wire are concentric circles.
JAMB (UTME)
Physics
1996
Q7752.Which of the following can be used to reduce local action in a Leclanche cell?
AA carbon rod as the positive pole.
BPure zinc as the negative pole.
CPotassium permanganate solution in contact with the positive pole.
DCommon salt solution.
Correct Answer: B
Using pure zinc (amalgamated) reduces local action.
JAMB (UTME)
Physics
1996
Q7753.The total resistance measured at PQ in the diagram above is
A$18.0 \Omega$
B$11.0 \Omega$
C$4.0 \Omega$
D$2.0 \Omega$
Correct Answer: C
The circuit has series and parallel combinations. Calculation gives $4.0 \Omega$.
JAMB (UTME)
Physics
1996
Q7754.Find the work done in moving a $2 \mathrm{C}$ charge between two points X and Y in an electric field if the potential difference is $100 \mathrm{V}$.
A$50 \mathrm{J}$
B$100 \mathrm{J}$
C$200 \mathrm{J}$
D$400 \mathrm{J}$
Correct Answer: C
$W = QV = 2 \times 100 = 200 \mathrm{J}$.
JAMB (UTME)
Physics
1996
Q7755.A parallel capacitor has a common plate area of $5 \times 10^{-8} \mathrm{m}^2$ and plate separation of $2 \times 10^3 \mathrm{m}$. Assuming free space, what is the capacitance?
A$2.25 \times 10^{-17} \mathrm{F}$
B$4.50 \times 10^{-17} \mathrm{F}$
C$2.25 \times 10^{-16} \mathrm{F}$
D$4.50 \times 10^{-16} \mathrm{F}$
Correct Answer: A
$C = \dfrac{\epsilon_0 A}{d} = \dfrac{8.85 \times 10^{-12} \times 5 \times 10^{-8}}{2 \times 10^3} = 2.21 \times 10^{-22} \mathrm{F}$. The answer key A is incorrect.
JAMB (UTME)
Physics
1996
Q7756.The iron core of an induction coil is made from bundles of wires so as to
AMinimize eddy-currents
BGenerate eddy-currents
CPrevent sparking at the contact breaker
DGet the greatest possible secondary voltage.
Correct Answer: A
Bundled wires reduce eddy currents.
JAMB (UTME)
Physics
1996
Q7757.Electricity is supplied to a school along a cable of total resistance $0.5 \Omega$ with the maximum current drawn from the mains $100 \mathrm{A}$. The maximum energy dissipated as heat for $1 \mathrm{hr}$ is
Q7759.A transformer which can produce $8 \mathrm{V}$ from a $240 \mathrm{V}$ a.c. supply, has an efficiency of $80\%$. If the current in the secondary coil is $15 \mathrm{A}$, calculate the current in the primary coil.
Q7760.The electrochemical equivalent of a metal is $1.3 \times 10^{-7} \mathrm{kgC}^{-1}$. The mass of the metal which $2.0 \times 10^4 \mathrm{C}$ of electricity will deposit from a suitable electrolyte is
Q7761.A radioactive substance has a half-life of $80$ days. If the initial number of atoms in the sample is $6.0 \times 10^{10}$, how many atoms would remain at the end of $320$ days?
Q7763.In photoelectric effect, electrons will leave the metal surface when illuminated by light of appropriate frequency if the photon energy is
AGreater than the work function.
BLess than the work function.
CEqual to the work function.
DEqual to the maximum kinetic energy of the electrons.
Correct Answer: A
Photoelectrons are emitted when photon energy is greater than the work function.
Instruction
JAMB Physics 1997
JAMB (UTME)
Physics
1997
Q7764.At what respective values of X, Y and Z would the unit of force, the Newton, be dimensionally equivalent to $M^X L^Y T^Z$?
A$-1, 1, 2$
B$1, 2, -2$
C$1, -1, 2$
D$-1, 1, -2$
Correct Answer: B
Force $= ma = M \times LT^{-2} = MLT^{-2}$. So $X = 1$, $Y = 1$, $Z = -2$. The answer key B is incorrect; the correct answer is $1, 1, -2$.
JAMB (UTME)
Physics
1997
Q7765.The distance $x$ m traveled by a particle in time $t$ seconds is described by the equation $x = 10 + 12t^2$. Find the average speed of the particle between the time interval $t = 2 \mathrm{s}$ and $t = 5 \mathrm{s}$.
Q7766.A $5 \mathrm{kg}$ block is released from rest on a smooth plane inclined at an angle of $30^{\circ}$ to the horizontal. What is its acceleration down the plane? $[g = 10 \mathrm{ms}^{-2}]$
Q7767.An arrow of mass $0.1 \mathrm{kg}$ moving with a horizontal velocity of $15 \mathrm{ms}^{-1}$ is shot into a wooden block of mass $0.4 \mathrm{kg}$ lying at rest on a smooth horizontal surface. Their common velocity after impact is
Q7768.Two bodies X and Y are projected on the same horizontal plane, with the same initial speed but at angles $30^{\circ}$ and $60^{\circ}$ respectively to the horizontal. Neglecting air resistance, the ratio of the range of X to that of Y is
A$1:1$
B$1:2$
C$3:1$
D$1:3$
Correct Answer: A
For complementary angles, the range is the same. $R = \dfrac{u^2\sin 2\theta}{g}$. $\sin 60^{\circ} = \sin 120^{\circ}$. So ratio is $1:1$.
JAMB (UTME)
Physics
1997
Q7769.Which of the following with respect to a body performing simple harmonic motion are in phase?
ADisplacement and velocity of the body.
BDisplacement and force on the body.
CVelocity and acceleration of the body.
DForce acting on the body and the acceleration.
Correct Answer: D
Force and acceleration are always in phase in SHM.
JAMB (UTME)
Physics
1997
Q7770.A body of mass $2 \mathrm{kg}$ moving vertically upwards has its velocity increased uniformly from $10 \mathrm{ms}^{-1}$ to $40 \mathrm{ms}^{-1}$ in $4 \mathrm{s}$. Neglecting air resistance, calculate the upward vertical force acting on the body. $[g = 10 \mathrm{ms}^{-2}]$
Q7771.A planet has mass $m_1$ and is at a distance $r_1$ from the sun, and another planet has mass $m_2$ and is at a distance $2r_1$ from the sun. Determine the ratio of the gravitational force experienced by the planets.
A$1:5$
B$2:5$
C$3:5$
D$4:5$
Correct Answer: D
$F = \dfrac{Gm_1m_2}{r^2}$. Assuming $m_1 = m_2 = m$: $F_1 = \dfrac{Gm^2}{r_1^2}$, $F_2 = \dfrac{Gm^2}{(2r_1)^2} = \dfrac{Gm^2}{4r_1^2}$. Ratio $= 4:1$. The answer key D is incorrect.
JAMB (UTME)
Physics
1997
Q7772.For what value of $\theta$ are the forces in the diagram above equilibrium?
A$15^{\circ}$
B$30^{\circ}$
C$45^{\circ}$
D$60^{\circ}$
Correct Answer: B
Resolving vertically: $12\cos\theta = 6$. $\cos\theta = 0.5$. $\theta = 60^{\circ}$. The answer key B is incorrect; the correct answer is D.
JAMB (UTME)
Physics
1997
Q7773.The figure above shows a block of mass m sliding down a rough inclined plane QP at angle $\theta$. The forces acting on the block along the plane QP are
A$mg\sin\theta$ and the normal reaction
B$mg\sin\theta$ and the force of friction
C$mg\cos\theta$ and the normal reaction
D$mg\cos\theta$ and the force of friction.
Correct Answer: B
The forces along the plane are the component of weight ($mg\sin\theta$) and friction.
JAMB (UTME)
Physics
1997
Q7774.A uniform light beam XZ is hinged at X and kept in equilibrium by the forces T and F as shown in the diagram above. If $XO = 20 \mathrm{cm}$ and $OY = 30 \mathrm{cm}$, express T in terms of F.
A$T = \dfrac{5\sqrt{3}}{3}F$
B$T = \dfrac{3\sqrt{5}}{5}F$
C$T = \dfrac{5\sqrt{5}}{3}F$
D$T = 5F$
Correct Answer: C
Taking moments about X: $T \times XO = F \times XY$. $T \times 20 = F \times 50$. $T = \dfrac{50}{20}F = 2.5F$. The answer key C is incorrect.
JAMB (UTME)
Physics
1997
Q7775.An object of mass $100 \mathrm{g}$ projected vertically upwards from the ground level has a velocity of $20 \mathrm{ms}^{-1}$ at a height of $10 \mathrm{m}$. Calculate its initial kinetic energy at the ground level. $[g = 10 \mathrm{ms}^{-2}; \text{neglect air resistance}]$
Q7776.An electric water pump rated $1.5 \mathrm{kW}$ lifts $200 \mathrm{kg}$ of water through a vertical height of $6 \mathrm{m}$ in $10 \mathrm{s}$. What is the efficiency of the pump? $[g = 10 \mathrm{ms}^{-2}]$
Q7777.For a rough inclined plane on which lies a body of weight W, the angle $\theta$ in the diagram above becomes the angle of friction if
A$\tan\theta = \text{coefficient of static friction}$
B$\cos\theta = \text{coefficient of dynamic friction}$
C$\sin\theta = \text{coefficient of sliding friction}$
D$\sec\theta = \text{limiting frictional force}$.
Correct Answer: A
The angle of friction is the angle whose tangent is the coefficient of static friction.
JAMB (UTME)
Physics
1997
Q7778.A load of $20 \mathrm{N}$ on a wire of cross-sectional area $8 \times 10^{-7} \mathrm{m}^2$ produces an extension of $10^{-4} \mathrm{m}$. Calculate Young's modulus for the material of the wire if its length is $3 \mathrm{m}$.
Q7779.A cube of sides $0.1 \mathrm{m}$ hangs freely from a string. What is the upthrust on the cube when totally immersed in water? $[\text{Density of water} = 1000 \mathrm{kgm}^{-3}, g = 10 \mathrm{ms}^{-2}]$
Q7780.A piece of wire gauze can be made to lie on water because
AThe wire gauze is less dense than water
BThe water molecules repel the wire gauze upwards.
CThe water surface has the effect of an elastic thin skin.
DOf the cohesive forces between the water and the wire gauze molecules.
Correct Answer: C
Surface tension makes the water surface behave like an elastic skin.
JAMB (UTME)
Physics
1997
Q7781.A liquid of mass $1.0 \times 10^3 \mathrm{kg}$ fills a rectangular tank of length $2.5 \mathrm{m}$ and width $2.0 \mathrm{m}$. If the tank is $4 \mathrm{m}$ high, what is the pressure at the middle of the tank? $[g = 10 \mathrm{ms}^{-2}]$
A$1.0 \times 10^4 \mathrm{Nm}^{-2}$
B$2.0 \times 10^3 \mathrm{Nm}^{-2}$
C$1.5 \times 10^3 \mathrm{Nm}^{-2}$
D$1.0 \times 10^3 \mathrm{Nm}^{-2}$
Correct Answer: D
Volume $= 2.5 \times 2.0 \times h = 5h$. Mass $= \rho V = 1000 \times 5h = 5000h = 1000$. $h = 0.2 \mathrm{m}$. Pressure at middle $= \rho g \times \dfrac{h}{2} = 1000 \times 10 \times 0.1 = 1000 \mathrm{Nm}^{-2}$.
JAMB (UTME)
Physics
1997
Q7782.An empty $60 \mathrm{litre}$ petrol tank has a mass of $10 \mathrm{kg}$. Its mass when full of fuel of relative density $0.72$ is
A$7.2 \mathrm{kg}$
B$33.2 \mathrm{kg}$
C$43.2 \mathrm{kg}$
D$53.2 \mathrm{kg}$
Correct Answer: D
Volume $= 60 \mathrm{litres} = 0.06 \mathrm{m}^3$. Mass of fuel $= 0.72 \times 1000 \times 0.06 = 43.2 \mathrm{kg}$. Total mass $= 10 + 43.2 = 53.2 \mathrm{kg}$.
JAMB (UTME)
Physics
1997
Q7783.The length of mercury thread when it is at $0^{\circ}\mathrm{C}$, $100^{\circ}\mathrm{C}$ and at an unknown temperature $\theta$ is $25 \mathrm{mm}$, $225 \mathrm{mm}$ and $174 \mathrm{mm}$ respectively. The value of $\theta$ is
A$85.0^{\circ}\mathrm{C}$
B$80.0^{\circ}\mathrm{C}$
C$75.0^{\circ}\mathrm{C}$
D$70.0^{\circ}\mathrm{C}$
Correct Answer: B
$\dfrac{174 - 25}{225 - 25} = \dfrac{\theta}{100}$. $\dfrac{149}{200} = \dfrac{\theta}{100}$. $\theta = 74.5^{\circ}\mathrm{C} \approx 75^{\circ}\mathrm{C}$. The answer key B is incorrect; the correct answer is C.
JAMB (UTME)
Physics
1997
Q7784.Equal masses of copper and rubber are raised to the same temperature. After some time, the copper was observed to be at a lower temperature because
AThe specific heat capacity of copper is lower than that of rubber
BCopper expands more than rubber
CThe specific heat capacity of rubber is lower than that of copper
DRubber expands more than copper.
Correct Answer: A
Copper has lower specific heat capacity, so it loses heat faster and cools to a lower temperature.
JAMB (UTME)
Physics
1997
Q7785.Before starting a journey, the tyre pressure of a car was $3 \times 10^5 \mathrm{Nm}^{-2}$ at $27^{\circ}\mathrm{C}$. At the end of the journey, the pressure rose to $4 \times 10^5 \mathrm{Nm}^{-2}$. Calculate the temperature of the tyre after the journey assuming the volume is constant.
Q7786.A mass of a liquid at $30^{\circ}\mathrm{C}$ is mixed with a mass of the same liquid at $70^{\circ}\mathrm{C}$ and the temperature of the mixture is $45^{\circ}\mathrm{C}$. Find the ratio of the mass of the cold liquid to the mass of the other liquid.
Q7787.What happens when a certain quantity of pure ice is completely changed to water at $0^{\circ}\mathrm{C}$?
ALatent heat is absorbed, the mass remains constant and the volume decreases.
BLatent heat is given out, the mass remains constant and the volume decreases.
CLatent heat is given out, the mass increases and the volume remains constant.
DLatent heat is absorbed, the mass decreases and the volume increases.
Correct Answer: A
Ice absorbs latent heat, mass remains constant, and volume decreases (ice is less dense than water).
JAMB (UTME)
Physics
1997
Q7788.The correct cooling curve for a molten substance such as naphthalene is represented by
A[Graph A]
B[Graph B]
C[Graph C]
D[Graph D]
Correct Answer: D
The curve shows a drop in temperature, a plateau at the freezing point, and then further cooling.
JAMB (UTME)
Physics
1997
Q7789.What happens when a gas expands at a constant temperature?
AIts pressure decreases.
BThe total momentum of its molecules remains constant.
CIts pressure decreases and the total momentum of its molecules remains constant.
DIts pressure decreases and the total kinetic energy of its molecules decreases.
Correct Answer: C
At constant temperature, pressure decreases as volume increases, and the total momentum of molecules remains constant.
JAMB (UTME)
Physics
1997
Q7790.Ripples on water and light waves are similar because both
AHave the same frequency
BCan be refracted and diffracted
CAre longitudinal waves
DHave the same velocity.
Correct Answer: B
Both water ripples and light waves can be refracted and diffracted.
JAMB (UTME)
Physics
1997
Q7791.Under constant tension and constant mass per unit length, the note produced by a plucked string is $500 \mathrm{Hz}$ when the length of the string is $0.90 \mathrm{m}$. At what length is the frequency $150 \mathrm{Hz}$?
Q7792.The colours seen in thin films of oil on the road and in soap bubbles are due to
AReflection
BInterference
CDiffraction
DPolarization.
Correct Answer: B
The colours are due to interference of light reflected from the top and bottom surfaces of the film.
JAMB (UTME)
Physics
1997
Q7793.The diagram above shows two waveforms P and Q at a particular instant of time. The two waves will interfere
ADestructively to produce a wave of a larger amplitude
BDestructively to produce a wave of a smaller amplitude
CConstructively to produce a wave of a larger amplitude
DConstructively to produce a wave of a smaller amplitude.
Correct Answer: B
The waves are out of phase, so they interfere destructively.
JAMB (UTME)
Physics
1997
Q7794.If the load at the end of a sonometer wire is immersed in a bucket of water, the original fundamental frequency of the wire could be restored by
ADecreasing the length of the wire
BIncreasing the length of the wire
CIncreasing the mass per unit of the wire
DChanging the temperature of the water.
Correct Answer: A
Immersion in water reduces tension, so frequency decreases. Decreasing length increases frequency to restore the original value.
JAMB (UTME)
Physics
1997
Q7795.When the sun, the moon and the earth are as shown in the diagram above, an observer standing at X is in
APenumbra and sees a partial eclipse
BPenumbra and sees a total eclipse
CUmbra and sees a partial eclipse
DUmbra and sees a total eclipse.
Correct Answer: D
At X, the observer is in the umbra and sees a total eclipse.
JAMB (UTME)
Physics
1997
Q7796.A boy on looking into a mirror observed that his face appeared to have grown bigger. The boy must have been looking at a
AConvex mirror with his face at the focus
BConcave mirror with his face between the focus and the mirror.
CConcave mirror with his face at the focus
DConvex mirror with his face between the focus and the mirror.
Correct Answer: B
A concave mirror produces a magnified virtual image when the object is between the focus and the mirror.
JAMB (UTME)
Physics
1997
Q7797.Light of velocity $3.0 \times 10^8 \mathrm{ms}^{-1}$ is incident on a material of refractive index n. If the velocity of light is reduced to $2.4 \times 10^8 \mathrm{ms}^{-1}$ in the material, what is n?
Q7798.A patient with a sight defect has a distance of distinct vision of $150 \mathrm{cm}$. For him to be able to read a material placed at a distance of $25 \mathrm{cm}$, what is the focal length of the glasses he should wear?
Q7799.The electromagnetic waves that are sensitive to temperature changes are
AX-rays
BGamma-rays
CUltra-violet rays
DInfra-red rays.
Correct Answer: D
Infrared rays are heat rays and are sensitive to temperature changes.
JAMB (UTME)
Physics
1997
Q7800.In the diagram above, which of the angles $\theta_1$, $\theta_2$, $\theta_3$ and $\theta_4$ is the angle of deviation of a ray of light through the glass prism, XYZ?
A$\theta_3$
B$\theta_2$
C$\theta_1$
D$\theta_4$
Correct Answer: B
The angle of deviation is the angle between the incident ray and the emergent ray, which is $\theta_2$.