JAMB UTME - Physics - 1985 | Green Bridge CBT

Ibeere 1 Ìròyìn

A wire P has half the diameter and half the length of a wire Q of similar material. The ratio of the resistance of P to that of Q is

8 : 1

4 : 1

2 : 1

1 : 1

1 : 4

Awọn alaye Idahun

Resistance

α

\frac{l e n g t h}{a r e a}

$\frac{R_{Q}}{R_{P}}$ = $\frac{L_{Q} A_{P}}{L_{P} A_{Q}}$

LQ = 2LP

DQ = 2DP

AP = $π$ $\frac{(2 D_{P})^{2}}{2}$

= $π$ DP

AQ = $π$ $\frac{(D_{P})^{2}}{2}$

= $\frac{1}{4}$ $π$ DP

therefore, $\frac{R_{Q}}{R_{P}}$ = $\frac{2 L_{P} \times π D_{P}}{L_{P} \times \frac{1}{4} π D_{P}}$

= 2 : 1

Ka ìwé ẹ̀kọ́ nípa Capacitors (JAMB)

Ka ìwé ẹ̀kọ́ nípa Current Electricity (JAMB)

Capacitors

Current Electricity

Wo Idahun

Ibeere 2 Ìròyìn

A 0.05kg bullet travelling at 500ms-1 horizontally strikes a thick vertical wall. It stops after penetrating through the wall horizontal distance of 0.25m. What is the magnitude of the average force the wall exerts on the bullet?

25N

50N

250N

500N

25 000N

Awọn alaye Idahun

F = ma

= m $\frac{(v^{2} - u^{2})}{2 s}$

F = 0.05 $\frac{(0 - (500)^{2})}{2 \times 0.25}$

F = 25 000N

Ka ìwé ẹ̀kọ́ nípa Current Electricity (JAMB)

Current Electricity

Wo Idahun

Ibeere 3 Ìròyìn

An object is placed 15cm in front of a concave mirror of radius 40cm. The image formed

virtual and 60cm behind the mirror

real and 60cm behind the mirror

virtual and at infinity

real and at infinity

virtual and 40cm from the mirror

Awọn alaye Idahun

u = f

Ka ìwé ẹ̀kọ́ nípa Reflection Of Light At Plane And Curved Surfaces (JAMB)

Ka ìwé ẹ̀kọ́ nípa Properties Of Waves: Reflection, Refraction, Diffraction (WAEC)

Reflection Of Light At Plane And Curved Surfaces

Properties Of Waves: Reflection, Refraction, Diffraction

Wo Idahun

Ibeere 4 Ìròyìn

Normal atmospheric pressure at sea-level is 105Nm-2 and the acceleration due to gravity is approximately 10ms-1. If the atmosphere has a uniform density of 1kgm-3, its height is

100m

1000m

10 000m

100 000m

1000 000m

Awọn alaye Idahun

pressure = h x g x e

105 = 10 x h x 1

h = 104

Ka ìwé ẹ̀kọ́ nípa Pressure (JAMB)

Pressure

Wo Idahun

Ibeere 5 Ìròyìn

An electric kettle, connected to a 240V mains, produces 6.0 x 105J of heat energy to boil a quantity of water in 5 minutes. Find the resistance of the kettle.

14.4

Ω

28.8

Ω

144

Ω

288

Ω

2880

Ω

Awọn alaye Idahun

Heat energy = Electrical energy

6 x 105 = $\frac{V^{2}}{R}$ t

R = $\frac{240 \times 240 \times 5 \times 60}{6 \times 105}$

= 28.8 $Ω$

Ka ìwé ẹ̀kọ́ nípa Current Electricity (JAMB)

Ka ìwé ẹ̀kọ́ nípa Heat Energy (WAEC)

Current Electricity

Heat Energy

Wo Idahun

Ibeere 6 Ìròyìn

A 45o triangular glass prism can be used as a reflector of light because

A refraction never takes place in such a prism

the angle of reflection equals the angle of incidence

the refractive index of glass is less than 1

it is transparent

the critival angle angle for glass is less than 45o

Reflection Of Light At Plane And Curved Surfaces

Wo Idahun

Ibeere 7 Ìròyìn

A metal cube of volume 103mm3 is lowered into a measuring cylinder containing water. If the internal cross-sectional area of the cylinder is 1.5 x 102mm2, by how much does the water level rise in the cylinder?

6.67 x 100mm

8.50 x 102mm

1.15 x 103mm

2.50 x 103mm

1.50 x 105mm

Awọn alaye Idahun

Height =

\frac{v o l u m e}{a r e a}

= Height = $\frac{10^{3}}{1.5 \times 10^{2}}$

= 6.67mm

Ka ìwé ẹ̀kọ́ nípa Measurements And Units (JAMB)

Measurements And Units

Wo Idahun

Ibeere 8 Ìròyìn

Which of the following will convert a milliammeter to a voltmeter?

low series resistance

low parallel resistance

high series resistance

high parallel resistance

parallel resistance equal to milliammeter resistance

Electrostatics

Wo Idahun

Ibeere 9 Ìròyìn

A good calorimeter should be of

low specific heat capacity and low heat conductivity

low specific heat capacity and high heat conductivity

high specific heat capacity and low heat conductivity

dull surface and low heat conductivity

Temperature And Its Measurement

Pressure

Wo Idahun

Ibeere 10 Ìròyìn

A convex mirror is used as a driving mirror because i. its image is erect. ii. it has a large field of view. iii. it has a long focal length. Identify the CORRECT statement(s)

i andiii only

i and ii only

ii and iii only

i, ii, and iii only

i only

Electrostatics

Wo Idahun

Ibeere 11 Ìròyìn

Two rays of light from a point below the surface of water are equally inclined to each other at $60^\circ$ in water. What is the angle between the rays when they emerge into air? (Take the refractive index of water to be $\frac{4}{3}$)

41.8o

44.1o

60.0o

83.6o

120.0o

Awọn alaye Idahun

\frac{4}{3}

=

\frac{s i n r_{1}}{s i n 30}

and

\frac{4}{3}

=

\frac{s i n r_{2}}{s i n 30}

r1 = 41.8o and r2 = 41.8o

angle between them = r1 + r2

= 83.6o

Ka ìwé ẹ̀kọ́ nípa Refraction Of Light Through Plane And Curved Surfaces (JAMB)

Refraction Of Light Through Plane And Curved Surfaces

Wo Idahun

Ibeere 12 Ìròyìn

A thin aluminum plate has a surface area of 1500m at 20oC. What will be its surface area when it is cooled to -20oC? (Take the linear expansivity of aluminum to be 2.5 x 10-5k-1).

1.503m2

1.500m2

1.498m2

1.497m2

1.490m2

Awọn alaye Idahun

β

= A2 - A1

2 X 10-5 x 2.5 = $\frac{A_{2} \times 1.5}{1.5 \times (- 20 - 20)}$

A2 = 1.498m2

Wo Idahun

Ibeere 13 Ìròyìn

Two divers G and H are at depths 20m and 40m respectively below the water surface in a lake. The pressure on G is P₁ while the pressure on H is P₂. If the atmospheric pressure is equivalent to 10m of water, then the value of $ \frac{p_2}{p_1} $ is

0.50

0.60

1.67

2.00

3.0

Awọn alaye Idahun

pressure at H = 40m ; pressure at G, p1 = 20m

$\frac{p_{1}}{p_{1}}$ = $\frac{40}{20}$

= 2

Ka ìwé ẹ̀kọ́ nípa Temperature And Its Measurement (JAMB)

Ka ìwé ẹ̀kọ́ nípa Pressure (JAMB)

Ka ìwé ẹ̀kọ́ nípa Measurements And Units (JAMB)

Temperature And Its Measurement

Pressure

Measurements And Units

Wo Idahun

Ibeere 14 Ìròyìn

A force of 100N stretches an elastic string to a total length of 20cm. If an additional force of 100N stretches the string 5cm further, Find the natural length of the string

15cm

12cm

10cm

8cm

5cm

Awọn alaye Idahun

Using, f1 = f2

e1 = 20 - L ; e2 = 5cm

$\frac{f_{1}}{e_{1}}$ = $\frac{f_{2}}{e_{2}}$

$\frac{100}{20 - L}$ = $\frac{100}{5}$

hence, L = 15cm

Ka ìwé ẹ̀kọ́ nípa Elasticity (JAMB)

Elasticity

Wo Idahun

Ibeere 15 Ìròyìn

Two thermo flasks of volume $V_x$ and $V_y$ are filled with liquid water at an initial temperature of 0^oC. After sometime the temperature were found to be $\theta_x$, $\theta_y$, respectively. Given that $\frac{V_x}{V_y}=2$ and $\frac{\theta_x}{\theta_y}=\frac{1}{2}$ the ratio of the heat flow into the flask is

1

4

1

2

4

1

2

Awọn alaye Idahun

Heat = mc

θ

Hx = Dx x Vx x Cx x $θ$ x

Hy = Dy x Vy x Cy x $θ$ y

$\frac{H_{x}}{H_{y}}$ = $\frac{D_{x} \times V_{x} \times C_{x} \times θ_{x}}{D_{x} \times V_{x} \times C_{x} \times θ_{x}}$

= 2 x $\frac{1}{2}$

= 1

Ka ìwé ẹ̀kọ́ nípa Quantity Of Heat (JAMB)

Quantity Of Heat

Wo Idahun

Ibeere 16 Ìròyìn

Two masses 40g and 60g respectively, are attached firmly to the ends of the light meter rule. The center of gravity of the system is

at the mid-point of the meter rule

40cm from the lighter mass

40cm from the heavier mass

60cm from the heavier mass

indeterninate because the meter-rule is light

Scalars And Vectors

Equilibrium Of Forces

Wo Idahun

Ibeere 17 Ìròyìn

Water shows anomalous behaviour

below 0oC

between 0oC and 4oC

at exactly 4oC

between 4oC and 100oC

above 100oC

Heat Energy

Wo Idahun

Ibeere 18 Ìròyìn

A charge of one coulomb liberates 0.0033g of copper in an electrolytic process. How long will it take a current of 2A to librate 1.98g of copper in such a process?

5 mins

30 mins

50 mins

60 mins

120 mins

Awọn alaye Idahun

0.0033g = 1 coulomb

1.98gs = 1.98 x 1

= 600 cou.

Q = It

600 = 2 x t

t = 300sec = 5 mins

Ka ìwé ẹ̀kọ́ nípa Electrostatics (JAMB)

Electrostatics

Wo Idahun

Ibeere 19 Ìròyìn

A transformer has a primary coil with 500 turns and a secondary coil with 2500 turns. When the voltage input to the primary coil is 120V, the output is

6000V

600V

240V

60V

24V

Awọn alaye Idahun

For transformers,

\frac{V_{p}}{V_{s}}

=

\frac{N_{p}}{N_{s}}

=

\frac{I_{p}}{I_{s}}

$\frac{500}{2500}$ = $\frac{120}{V_{s}}$

Vs = 600v

Ka ìwé ẹ̀kọ́ nípa Current Electricity (JAMB)

Current Electricity

Wo Idahun

Ibeere 20 Ìròyìn

The areas of the effort and load pistons of a hydraulic press are 0.5m2 and 5m2 respectively. If a force F1 of 100N is applied on the effort piston, the force F2 on the load is

10N

100N

500N

1000N

5000N

Awọn alaye Idahun

\frac{l o a d}{a r e a}

=

\frac{e f f o r t}{a r e a}

$\frac{l o a d}{5}$ = $\frac{100}{0.5}$

load = 1000N

Ka ìwé ẹ̀kọ́ nípa Position, Distance And Displacement (WAEC)

Position, Distance And Displacement

Wo Idahun

Ibeere 21 Ìròyìn

Which of the following phenomena CANNOT be explained by the molecular theory of matter?

Expansion

Conduction

Convection

Radiation

Evaporation

Waves

Structure Of Matter And Kinetic Theory

Wo Idahun

Ibeere 22 Ìròyìn

In the Fig above, MN is a light uniform meter rule pivoted at O, the 80cm mark. A load of mass 3.00kg is suspended on the meter rule at L, the 10cm mark. If the rule is kept in equilibrium by a string RP, fixed at P and attached to the rule at R, the 20cm mark, then the Tension T on the string is

3.0N

3.4N

3.5N

6.0N

7.0N

Equilibrium Of Forces

Measurements And Units

Wo Idahun

Ibeere 23 Ìròyìn

If the fundamental frequency of a closed pipe organ on a day when the speed of sound is 340ms-1 is 170Hz, then the length of the pipe is

50cm

70cm

100cm

150cm

200cm

Awọn alaye Idahun

λ

=

\frac{v}{f}

= $\frac{340}{170}$

= 2m ; for closed pipe

L = $\frac{1}{4}$ $λ$

= $\frac{1}{4}$ x $\frac{2}{1}$

= 0.5m

= 50cm

Ka ìwé ẹ̀kọ́ nípa Current Electricity (JAMB)

Current Electricity

Wo Idahun

Ibeere 24 Ìròyìn

A cell gives a current of 0.15A through a resistance of $8\ \Omega$ and 0.3A. When the resistance is changed to $3\ \Omega$ the internal resistance of the cell is

0.05

Ω

1.00

Ω

1.50

Ω

2.00

Ω

2.50

Ω

Current Electricity

Wo Idahun

Ibeere 25 Ìròyìn

Which of the following statements are NOT correct?

boiling occurs when the saturated vapour pressure of the liquid involved equals the external pressure

both the boiling point and the saturated vapour pressure of a given liquid depends on the external pressure

the saturated vapour presssure rises with increase in temperature

the saturated vapour pressure is independent of the volume available for the vapour

it is possible to boil water at a lower temperature than 100oC at high altitude

Quantity Of Heat

Wo Idahun

Ibeere 26 Ìròyìn

When a sound wave passes from air into water its

speed and frequency increases but its wavelength remains the same

speed and wavelength increases but its frequency remains the same

speed decreases

speed remains the same but its frequency and wavelength change

speed increases but its frequency and wavelength decreases

Sound Waves

Magnetic Field (Part 1)

Wo Idahun

Ibeere 27 Ìròyìn

Which of the following types of motion are oscillatory? i.a diving board when used by a diver. ii. the motion of the balance wheel of a wrist watch. iii. the motion of the turn-table of a record player. iv. the motion of the center of a ten kobo piece as it rolls down an inclined plane. v. the motion of the needle of a D.C. ammeter into which a low A.C. current is passed

i and ii

i, ii and iii

i, ii and iv

i, ii and v

iii, iv and ii

Scalars And Vectors

Simple Harmonic Motion

Wo Idahun

Ibeere 28 Ìròyìn

A narrow beam of white light can be split up into different colours by a glass prism. The correct explanation is that

white light is an electromagnetic wave

the prism has all the colours of the white light

white light has undergone total internal reflection in the prism

different colours of white light travel with different speeds in glass

white ligth consist of yellow, green and red colours

Light Waves

Wo Idahun

Ibeere 29 Ìròyìn

A simple pendulum with a period of 2.0s has its length doubled. Its new period is

1.00s

1.41s

0.3s

2.83s

4.00s

Awọn alaye Idahun

Using

\frac{T_{1}}{T_{2}}

=

\sqrt{\frac{L_{1}}{L_{2}}}

$\frac{2}{T_{2}}$ = $\sqrt{\frac{L_{1}}{2 L_{1}}}$

T2 = 2.83sec

Wo Idahun

Ibeere 30 Ìròyìn

Which of the following is NOT a force?

Friction

Tension

Upthrust

Weight

Impulse

Equilibrium Of Forces

Wo Idahun

Ibeere 31 Ìròyìn

If a car starts from rest and moves with a uniform acceleration of 10ms-2 for ten seconds, the distance it covers in the last one second of its motion is

95m

100m

500m

905m

1000m

Awọn alaye Idahun

Distance in 105, using, x = ut +

\frac{1}{2}

at2

x = (0 x 10) + ( $\frac{1}{2}$ x 10 x 10 x 10) = 500m

distance in 9s; x - (0 x 9) + ( $\frac{1}{2}$ x 10 x 9 x 9) = 405m

distance in last is = difference

= 500 - 405

= 95m

Ka ìwé ẹ̀kọ́ nípa Motion (JAMB)

Motion

Wo Idahun

Ibeere 32 Ìròyìn

Which of the following statements are true about the spring balance and the chemical balance? i. both are used to measure the mass of an object. ii. either of them may be used to measure the weight of an object. iii. the spring balance works on the principle of Hooke's law while the chemical balance works on the principle of moments. iv. a change in gravity does the readings of a spring balance but not that of a chemical balance.

i, and iv

ii and iii

ii and iv

i, ii and iii

i and iii

Elasticity

Equilibrium Of Forces

Wo Idahun

Ibeere 33 Ìròyìn

On which of the following does the operation of a moving coil ammeter depend? i. Electromagnetic induction ii. Force on a carrying-current conductor iii. Magnetic effect of an electric current

i only

ii only

iii only

ii and iii only

i,ii and iii

Electric Field

Wo Idahun

Ibeere 34 Ìròyìn

A quantity of gas occupies a certain volume when the temperature is -73oC and the pressure is 1.5 atmospheres. If the pressure is increased to 4.5 atmospheres and the volume is halved at the same time, what will be the new temperature of the gas?

573oC

327oC

300oC

110oC

27oC

Awọn alaye Idahun

\frac{P_{1} V_{1}}{T_{1}}

=

\frac{P_{2} V_{2}}{T_{2}}

V1 = 2V2

$\frac{1.5 \times 2 V_{2}}{- 73 + 273}$ = $\frac{4.5 \times V_{2}}{T_{2}}$

T2 = 300K = 27oC

Ka ìwé ẹ̀kọ́ nípa Quantity Of Heat (JAMB)

Quantity Of Heat

Wo Idahun

Ibeere 35 Ìròyìn

What is the number of neutrons in the Uranium isotope $ {}^{238}_{92}X $?

92

146

238

330

119

Awọn alaye Idahun

No of neutrons = 238-92

=146

Ka ìwé ẹ̀kọ́ nípa Structure Of The Atom (Nigeria Only) (WAEC)

Structure Of The Atom (Nigeria Only)

Wo Idahun

Ibeere 36 Ìròyìn

In a gas experiment, the pressure of the gas is plotted against the reciprocal of the volume of the gas at a constant temperature. the unit of the slope of the resulting curve is

force

force/m

work

force/m3

energy/m3

Awọn alaye Idahun

slope = pressure

\div

\frac{1}{v o l u m e}

= $\frac{N}{m^{3}}$ x $\frac{m^{3}}{1}$

= Nm = work

Ka ìwé ẹ̀kọ́ nípa Gas Laws (JAMB)

Gas Laws

Wo Idahun

Ibeere 37 Ìròyìn

Which of the following is NOT a fundamental S.I unit?

Meter

Ampere

Kelvin

Seconds

Radian

Fundamental And Derived Quantities And Units

Wo Idahun

Ibeere 38 Ìròyìn

Which of the following methods CANNOT be used to produce a steel magnet? The

passing of an electric current through a solenoid

repeated stroking of the specimen with a magnet

repeated stroking of the specimen in opposite directions with magnets

heating of the specimen

hammering of the specimen in the earth's magnetic field

Magnets And Magnetic Fields

Wo Idahun

Ibeere 39 Ìròyìn

Two liquids, P at a temperature of 20oC and Q at a temperature of 80oC have specific heat capacities of 1.0Jkg-1oC-1 and 1.5J kg-1oC-1respectively. if equal masses of P and Q are mixed in a lagged calorimeter, then the equilibrium temperature is

44oC

50oC

56oC

60oC

70oC

Awọn alaye Idahun

Heat lost = heat gained

m x (80 - $θ$ ) x 1.5 = m x ( $θ$ - 20) x 1

$θ$ = 56oC

Ka ìwé ẹ̀kọ́ nípa Temperature And Its Measurement (JAMB)

Temperature And Its Measurement

Wo Idahun

Ibeere 40 Ìròyìn

In the Fig above, Current I passes through the combination, if the power dissipated in the 5 ohm resistor is 40W, then the power dissipated in the 10 ohm resistor is

10W

20W

40W

80

100W

Current Electricity

Wo Idahun

Ibeere 41 Ìròyìn

A block of mass 2.04kg resting on a smooth horizontal plane is acted upon simultaneously by two-forces, 10N due North and 10N due East. The magnitude of the acceleration produced by the force on the block is

0.10ms-2

7.07ms-2

10.00ms-2

14.10ms-2

20.00ms-2

Awọn alaye Idahun

R =

\sqrt{10^{2} + 10^{2}}

R = 14.14N

R = F = ma

14.14 = 2 x a

a = 7.07ms-1

Ka ìwé ẹ̀kọ́ nípa Scalars And Vectors (WAEC)

Ka ìwé ẹ̀kọ́ nípa Equilibrium Of Forces (WAEC)

Scalars And Vectors

Equilibrium Of Forces

Wo Idahun

Ibeere 42 Ìròyìn

Which of the following statements is NOT correct?

The average range of distinct vision for a normal eye is from the far distance (infinity) up to about 25cm in front of the eye

Longsighted people have difficulty in making the eye lense sufficiently powerful to focus on nearby objects

Shortsighted people cannot accommodate distant objects

Longsighted people need diverging spectacle lenses

A person with long sight has his eye-ball too short and the image of an object is therefore formed behind the retina

Scalars And Vectors

Temperature And Its Measurement

Wo Idahun

Ibeere 43 Ìròyìn

If the distance between two stationary charged particle is doubled, the magnitude of the electro-static force between them will be

doubled

halved

a quarter of its former value

unchanged

four times the original value

Awọn alaye Idahun

F

α

\frac{1}{d^{2}}

F x d2 = constant

F1 x (d1)2 = F2 x (d2)2

d2 = 2d1

F1 x (d1)2 = F2 x (2d1)2

F2 = $\frac{1}{4}$ F1

Ka ìwé ẹ̀kọ́ nípa Electrostatics (JAMB)

Electrostatics

Wo Idahun

Ibeere 44 Ìròyìn

Which of the following features is NOT a characteristic of natural radioactivity?

Radioactivity is a nuclear phenomenon

Radioactivity is exhibited only by elements of mass number greater than 206

The radioactivity of an element is affected by electric and magnetic fields in the surroundings

Radioactive substances emits three types of radiations, a-rays,

β

-rays and y-rays

The radioactive element is transformed into a new element

Properties Of Waves: Reflection, Refraction, Diffraction

Wo Idahun

Ibeere 45 Ìròyìn

In order to find the depth of the sea, a ship sends out a sound wave and receives an echo after one second. If the velocity of sound in water is 1500ms-1, what is the depth of the sea?

0.75km

1.50km

2.20km

3.00km

3.75km

Awọn alaye Idahun

Echo time = 1

\div

2 = 0.5sec

depth = velocity x time

= 1500 x 0.5

= 750m = 0.75km

Ka ìwé ẹ̀kọ́ nípa Sound Waves (WAEC)

Sound Waves

Wo Idahun

Ibeere 46 Ìròyìn

The graph in the fig above describes the motion of a particle. the acceleration of the particle during the motion is

0.00ms-2

0.25ms-2

4.00ms-2

8.00ms-2

10.00ms-2

Wo Idahun

Ibeere 47 Ìròyìn

Which of the following statements about electrolysis is NOT correct?

The substances in solution in the electrolyte become ionized

Ions are electrically charged and are attracted towards electrodes when a potential difference is applied

Ions may be discharged at the electrodes, forming bubbles or deposits

The mass deposited depends upon the length of time for which current flows

The mass of gas set free or metal deposited is proportional to the square of the current

Properties Of Waves: Reflection, Refraction, Diffraction

Wo Idahun

Ibeere 48 Ìròyìn

A metal block of mass 5kg lies on a rough horizontal platform. If a horizontal force of 8N applied to the block through its center of mass just slides the block on the platform, then the coefficient of limiting friction between the block and platform is

0.16

0.63

0.80

1.60

2.00

Awọn alaye Idahun

F =

μ

R

= $μ$ mg

8 = $μ$ x 5 x 10

$μ$ = 0.16

Ka ìwé ẹ̀kọ́ nípa Friction (JAMB)

Friction

Wo Idahun

Ibeere 49 Ìròyìn

A uniform cylindrical block of wood floats in water with one-third of its height above the water level, in a liquid of relative density 0.8, what fraction of its height will be above the liquid level?

1

6