A missile weighing 400N on the earth surface is shot into the atmosphere to an altitude of 6.4 x \(10^{-6}\)m. Taking the earth as a sphere of radius 6.4 x \(10^{-6}\)m and assuming the inverse-square law of universal gravitation, what would be the weight of the missile at that altitude?
A100N
B200N
C400N
D800N
E1600N
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Question 22
waec1997
Two forces 3N and 4N act on a body in directions due north and due east respectively. Calculate their equilibrant
A5N 53° east of North
B5N 53° west of the south
C5N 37° north of east
D7N 37° west of North
E7N 37° south of west
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Question 23
waec1997
Two blocks of the same dimension, one steel and the other wooden are dropped simultaneously from the same height. If they fall freely neglecting air resistance the?
ATwo blocks hit the ground simultaneously because they have the same acceleration
BTwo blocks reach the ground at the same time because their dimensions are the same
CWooden block being lighter than the steel block reaches the ground first
DSteel block reaches the ground first because it is denser than the wooden block
ESteel block takes half as much time as the wooden block to reach the ground because it is more massive than the wooden block
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Question 24
waec1997
A ball of mass 0.1kg approaching a tennis player with a velocity of 10ms\(^{-1}\),is hit back in the opposite direction with a velocity of 15ms\(^{-1}\). If the time of impact between the racket and the ball is 0.01s, calculate the magnitude of the force with which the ball is hit
A5000N
B500N
C250N
D50N
E25N
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Question 25
waec1997
An object falls freely from a height of 25m onto the roof a building 5m high. Calculate the velocity with which the object strikes the roof (g=10\(ms^{-2}\)
A17.3\(ms^{-2}\)
B20\(ms^{-2}\)
C24.5\(ms^{-2}\)
D125\(ms^{-2}\)
E200\(ms^{-2}\)
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Question 26
waec1997
An object of mass 0.40 kg attached to the end of a string is whirled around in a horizontal circle of radius 2.0m with a constant speed of 8\(ms^{-1}\). Calculate the angular velocity of the object
A0.8rad\(s^{-1}\)
B2 rad\(s^{-1}\)
C4 rad\(s^{-1}\)
D8 rad\(s^{-1}\)
E16 rad\(s^{-1}\)
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Question 27
jamb1997
In the diagram above, which of the angles \( \theta _1 \) , \( \theta _2 \) , \( \theta _3 \) and \( \theta _4 \) is the angle of deviation of the ray of light passing through the glass prism XYZ?
A\( \theta _3 \)
B\( \theta _2 \)
C\( \theta _1 \)
D\( \theta _4 \)
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Question 28
jamb1997
When the sun, moon and the earth are as shown in the diagram above an observer standing in 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
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Question 29
jamb1997
The diagram above shows two wave forms P and Q at a particular instant in time. the two waves will interface
Adestructively to produce a wave of larger amplitude
Bdestructively to produce a wave of smaller amplitude
Cconstructively to produce a wave of larger amplitude
Dconstructively to produce a wave of smaller amplitude
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Question 30
jamb1997
For a rough inclined plane on which lies a body of weight W, the angle θ in the diagram above becomes the angle of friction if
Atan θ = coefficient of static friction
Bcos θ = coefficient of dynamic friction
Csin θ = coefficient of sliding friction
Dsec θ = limiting frictional force
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Question 31
jamb1997
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 = 20cm and OY = 30cm, express T in terms of F
AT =2√3/3
BT= 2F
CT = 5V3F/3
DT = 5F
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Question 32
jamb1997
The fig above shows a block of mass m sliding down a rough inclined plane QP at angle \( \theta \) . The forces acting on the block along QP are
Amg sinθ and the normal reaction
Bmg sinθ and the force of friction
Cmg sinθ and the normal reaction
Dmg cosθ and the normal reaction
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Question 33
jamb1997
For what value of \(\theta\) are the forces in the diagram above in equilibrium
A\( 15^{\circ} \)
B\( 30^{\circ} \)
C\( 45^{\circ} \)
D\( 60^{\circ} \)
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Question 34
jamb1997
Find the standard deviation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
A2
B3
C√10
D√11
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Question 35
jamb1997
The following are the scores of ten students in a test of 20 marks: 15, 16, 17, 13, 16, 8, 5, 16, 19, 17. What is the modal?
A13
B15
C16
D19
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Question 36
jamb1997
The graphite rods surrounding the uranium fuel rods in a nuclear reactor, are used to
Aabsorb the neutrons and hence halt the nuclear process
Bcreate the neutrons and hence slow up the nuclear process
Cslowdown the neutrons and hence slow up the nuclear process
Dspeed up the neutrons and hence speed up the nuclear process
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Question 37
jamb1997
One of the features of the fission process is that
Aits products are not radioactive
Bit leads to chain reaction
Cneutrons are not released
Dthe sum of the masses of the reactants equals the sum of masses of the products
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Question 38
jamb1997
In a purely inductive circuit, the current
Alags behind the voltage in phase by 90o
Bleads the voltage in phase by 90o
Cis in the same phase with the voltage
Dleads the voltage by 180o
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Question 39
jamb1997
The voltage of the domestic electric supply is represented by the equation V = 311 sin314.2t. Determine the frequency of the a.c. supply [\(\pi\) = 3.142]
A50.0Hz
B100.0Hz
C311.0Hz
D314.2Hz
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Question 40
jamb1997
The power dissipated in an a.c. circuit with an r.m.s, current of 5A, r.m.s voltage of 10V and a phase angle of 60o is
