JAMB UTME - Physics - 1987
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A cube of side 10cm and mass 0.5kg floats in a liquid with only \( \frac{1}{5} \) of its height above the liquid surface. What is the relative density of the liquid?
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volume of cube = 103cm3
volume of liquid displaced = 45 x 1000
= 800cm3
density of liquid displaced;
= 500800
= 0.625cm-1
Frage 3 Bericht
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Frage 4 Bericht
In the above, a voltage V is applied across the terminals P and Q. The voltage across the 1 ohm resistor is
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time = 10025
= 4sec
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Frage 11 Bericht
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F1 = 3Fo
= 3 x 40 = 120Hz
F2 = 5Fo
= 5 x 40
= 200Hz
Frage 12 Bericht
The fig above shows two connected bodies of masses M1 and M2 in equilibrium under gravity. The tension in the upper string is
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Frage 13 Bericht
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Fm = (40 x 10 x sin 45) - (40 x 10 x 0.25 x cos 45)
= 212N
Frage 14 Bericht
The velocity time graph above describes the motion of a particle between two points P and Q. What is the distance between P and Q?
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Frage 15 Bericht
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= (0 x 4) + (12 x 0.1 x 4 x 4)
= 0.8m
workdone = force x distance
= 40 x 0.8
= 32J
Frage 16 Bericht
A galvanometer of resistance \(20\,\Omega\) is to be provided with a shunt that \(\frac{1}{10}\) of the whole current in a circuit passes through the galvanometer. The resistance of the shunt is
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Rs = 2.22Ω
Frage 17 Bericht
When the length I of a piece of wire under constant tension is varied, the relationship of the frequency of the vibration \( \alpha \)/ is
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Frage 18 Bericht
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Frage 19 Bericht
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= 0.5 x 40 x 2 x 60
= 2400J
Frage 20 Bericht
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4.5cm .... θ
0cm ....0oC
4.5−020−0 = 0−0100−0
θ = 22.5oC
Frage 21 Bericht
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3 x 4 x 10-5 = V2−125125×(120−20)
V2 = 126.50cm3
Frage 22 Bericht
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K.E = 12 mv2 = 200m joules
%converted = 200m1000m x 100
= 20%
Frage 23 Bericht
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20 = 60×V60+V
V = 30cm
similarly, UV = height of objectheight of image
6030 = 3h
h = 1.5cm
Frage 24 Bericht
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Frage 25 Bericht
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c = 1466Jkg-1oC-1
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Frage 27 Bericht
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thrust = m(v−u)t x t1
270 = m(300 - 0)
m = 0.90kg
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Frage 29 Bericht
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= 60000−(4800×10)4800
= 2.5ms-2
Frage 30 Bericht
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R = √129
= 11.36km
Frage 31 Bericht
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= (2 x 333000) + (2 x 2090 x 2)
= 674 360J
Frage 33 Bericht
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mh x ch x θ h = mc x cc x θ c
mh x ch x (θ - 20) = mc x cc x (20 - 10)
ch = cc ; mc = 3mh
therefore, θ = 50oC
Frage 34 Bericht
What type of reaction is represented by the following scheme?
\[ {}^{2}_{1}X + {}^{2}_{1}Y + {}^{3}_{2}Z + {}^{1}_{0}n + \text{energy} \]Frage 35 Bericht
A 50kg block is dropped from a point 10cm above as shown in the fig above. if the force constant of the spring is 4.0 x 104Nm-1, find the maximum compression of the spring [g = 10ms-2]
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Frage 36 Bericht
In the figure above, M and N are insulated metal spheres in contact. A negatively charged ebonite rod P is I brought near M. When M and N are Separated and the rod is taken away, which of the following statements is correct
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Frage 38 Bericht
Frage 39 Bericht
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since, F = ma = kgms-1 = N
kgms-1 = Ns
Frage 40 Bericht
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= 2 x 0.3
= 0.6ms-1
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Frage 45 Bericht
Two capacitance of \(6\,\mu\text{F}\) and \(8\,\mu\text{F}\) are connected in series. What additional capacitance must be connected in series with this combination to give a total of \(3\,\mu\text{F}\)
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therefore, C = 24μ F
Frage 46 Bericht
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(75 - 73.5) x 8 = (X - 74) x 6
X = 76cm
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1.33 = real depth1
real depth = 1.33cm
Frage 48 Bericht
The fig above represents the main sequence of energy conversion at Kainji dam. What is the efficiency of the system?
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