JAMB UTME - Physics - 1988

The amount of heat needed to raise the temperature of 10kg of copper by 1k is its

Maelezo ya Majibu

Two forces whose resultant is 100N, are at right angle to each other. If one of them makes an angle 30o with the resultant, determine its magnitude.

Maelezo ya Majibu

COS 30o = $\frac{F_1}{100}$

F1 = 86.6N

How long will it take a 60kg man to climb a height of 22m if he expended energy at a rate of 0.25kW. [g = ms-2]

Maelezo ya Majibu

power = mgh

0.25 x 103 = $\frac{60\times 10\times 22}{t}$

t = 52.8 sec

When white light is dispersed by a spectrometer, the component having the shortest wavelength is

Maelezo ya Majibu

A force, 10N, drags a mass 10kg on a horizontal table with an acceleration of 0.2ms. If the acceleration due to gravity is 10ms-1, the coefficient of friction between the moving mass and the table is

Maelezo ya Majibu

$\mu$mg = ma

$\mu$ x 10 x 10 = 10 x 0.2

$\mu$ = 0.02

The figure above shows three different ways of hanging a heavy picture from a hook. the tension in the string will be

Maelezo ya Majibu

A household refrigerator is rated 200 watts. If electricity costs 5k per kWh, what is the cost of operating it in 20 days?

Maelezo ya Majibu

Energy(kWhr) = 200 x 10-3 x 20 x 24

= 96kwhr

1 kwhr cost 5 kobo ; 96 kwhr will cost

5 x 96 = 480 kobo

In the figure above, what is the angle of reflection of the ray of light at mirror M?

Maelezo ya Majibu

In the circuit diagram above, the ammeter reads a current of 3A when R is 5 ohms and 6A when R is 6 ohms,the value of the unknown resistance X is

Maelezo ya Majibu

When one arm of a U-tube manometer is connected to a gas supply, the levels of mercury in the two arms of the U-tube is shown in the figure above, if the atmospheric pressure is 76.0cm hg, the gas pressure is

Maelezo ya Majibu

Which of the following phenomena explains the formation of a mirage? i. Reflection ii. Refraction iii. Diffraction

Maelezo ya Majibu

The figure above shows two waveforms X and Y. If the frequency of X is 30Hz what is the frequency of Y

Maelezo ya Majibu

A note is called an octave of another note when

Maelezo ya Majibu

When taking a penalty kick, a footballer applies a force of 30.0N for a period of 0.05s. if the mass of the ball is 0.075kg, calculate the speed with which the ball moves off.

Maelezo ya Majibu

F = $\frac{m(v-u)}{T}$

30 = $\frac{0.75(v-0)}{0.05}$

v = 20ms-1

A slight loading of a tuning fork has the effect of

Maelezo ya Majibu

Which of the following properties is/are common to all waves? i. Diffraction ii. Refraction iii. Interference

Maelezo ya Majibu

When a resistance R is across a cell, the voltage across the terminals of the cell is reduced to two-third of its normal value. The internal resistance of the cell is

Maelezo ya Majibu

IR = $\frac{2}{3}$ I(R + r)

r = $\frac{1}{2}$R

Which of the following quantities are scalars? i. Electrical potential ii. Torque iii. Momentum iv. Kinetic energy

Maelezo ya Majibu

Which of the following are the correct SI units of the quantities indicated? i.N(Force) II. Mn-1 (Torque) iii. watt(Power) iv. kgms-2

Maelezo ya Majibu

To obtain a magnification of 2.5, how far should an object be placed from the pole of a thin converging lens of focal length 10.20m?

Maelezo ya Majibu

v = 2.5u

F = $\frac{uv}{u+v}$

0.2 = $\frac{u\times 2.5u}{u+2.5u}$

u = 0.28m

Which of the following symbolic representations is correct for an atom X with 22 electrons and 43 neutrons?

Maelezo ya Majibu

Two strings of the same length and under the same tension gives notes of frequencies in the ratio 4 : 1. The masses of the strings are in the corresponding

Maelezo ya Majibu

F = $\frac{1}{2L}$$\sqrt{\frac{T}{m}}$

$\frac{F_1}{F_2}$ = $\sqrt{\frac{m_2}{m_1}}$

$\frac{1}{4}$ = $\sqrt{\frac{m_2}{m_1}}$

$\sqrt{\frac{m_2}{m_1}}$ = $\frac{1}{2}$

A spectrum of sunlight is said to be impure when

Maelezo ya Majibu

The speed of sound in air at sea-level is 340ms-1 while that of light is 300 000kms-1. How far (to the nearest meter) from the center of a thunderstorm is an observer who hears a thunder 2s after a lightening flash?

Maelezo ya Majibu

Distance = 340 x 2 = 680ms-1

The figure above shows displacement-time graphs for three different motions. which of the following statements is correct

Maelezo ya Majibu

Maelezo ya Majibu

$\frac{\text{speed of driver}}{\text{speeder driven}}$ = $\frac{\text{no. of teeth of driver}}{\text{no. of teeth of driven}}$

$\frac{120}{V}$ = $\frac{20}{60}$

v = 360 rev s-1

A particle starts from rest and moves with a constant acceleration of 0.5ms-2. The distance covered by the particle in 10s is

Maelezo ya Majibu

X = ut + $\frac{1}{2}$at

= (0 x 10) + ($\frac{1}{2}$ x 0.05 x 10 x 10)

= 25m

Which of the following factors affects the speed of sound in air? i. Temperature ii. pressure iii. Frequency

Maelezo ya Majibu

Which of the following statement is TRUE of ultraviolet, visible and infra-red rays?

Maelezo ya Majibu

When heat is applied to one end of a metal rod, the molecules at the other end soon begin to vibrate with greater amplitude than before because heat has been transferred by

Maelezo ya Majibu

The product PV where P is pressure and V is volume has the same unit as

Maelezo ya Majibu

PV = $\frac{N}{m^2}$ x $\frac{m^2}{1}$

= Nm

The wire X in the figure above is at right angles to the plane of the paper and carries a current into the paper. at which of the points labelled 1-4, will the magnetic flux density due to this current be in the same direction as that of the horizontal component of earth's magnetic field

Maelezo ya Majibu

A dynamo primarily combines

Maelezo ya Majibu

E, F and G are yellow, red and cyan transparent light filters respectively. The color of a white opaque object when viewed through the arrangement of the filters above is

Maelezo ya Majibu

The principle of operation of an induction coil is based on

Maelezo ya Majibu

A body whose mass is 2kg and has a volume of 500cm just floats when completely immersed in a liquid. Calculate the density of the liquid

Maelezo ya Majibu

since the object floats, density of liquid = density of object

D = $\frac{m}{v}$

= $\frac{2}{500\times 10}$

= 4.0 x 103kgm-3

A tap supplies water at 25oC while another supplies water at 75oC. If a man wishes to bathe with water at 40oC, the ratio of the mass of cold water to the mass of hot water required is

Maelezo ya Majibu

Heat lost = heat gained

mh x c x (75 - 40) = mc x c x (40 - 25)

$\frac{m_h}{m_c}$ = $\frac{35}{15}$

= $\frac{7}{3}$

Which of the following ammeters may be used to measure alternating currents? i. moving-coil ammeter ii. moving-iron ammeter iii. hot-wire ammeter

Maelezo ya Majibu

In a certain fusion reaction, a deuteron (${}_1^{2}H$) interacts with a triton (${}_1^{3}He$) and produces an a-particle (${}_2^{4}He$) and a second product. The second product is

Maelezo ya Majibu

${}_1^{2}H$ + ${}_1^{3}H$ $\to$ ${}_2^{4}He$ + ${}_0^{1}He$

A lorry travels 10km northwards, 4km eastwards, 6km southwards, 4km westwards to arrive at a point T. What is the total displacement?

Maelezo ya Majibu

A particle is injected perpendicularly into an electric field, it travels along a curved path as depicted in the image above,the particle is

Maelezo ya Majibu

An object is placed 10cm in front of a concave mirror of focal length 15cm. What is the position and nature of the image formed?

Maelezo ya Majibu

F = $\frac{uv}{u+v}$

15 = $\frac{10\times v}{10+v}$

v = -30cm

Which of the following media allow the transmission of sound wave through them i. Air. ii. Liquids. iii. Solids.

Maelezo ya Majibu

A piano wire 0.5m long has a total mass of 0.01kg and is stretched with a tension of 800N. Calculate the frequency of the wire when it sounds its fundamental note

Maelezo ya Majibu

F = $\frac{1}{2L}$$\sqrt{\frac{T}{m}}$

N:B m is mass per length

= $\frac{0.01}{0.5}$

= 0.02kgm-1

F = $\frac{1}{2\times 0.5}$$\sqrt{\frac{800}{0.02}}$

= 200Hz

A cell of internal resistance 2 ohms supplies current to a 6 ohms resistor. The efficiency of the cell is

Maelezo ya Majibu

Efficiency = $\frac{IR}{I(R+r)}$ x 100

= $\frac{6}{I(2+6)}$ x 100

= 75%