2005 - JAMB Physics Past Questions and Answers - page 5
Generally, from Hares Experiment, density is inversely proportional to height
i.e h ∝1/d; → h1d1 = h2d2
∴ 8 x 103 = h2 x 800
∴ h2 = | 8 x 103 |
_800 |
= 10cm
Users' Answers & CommentsFrom the heat exchange involved, the latent heat of vaporization, L can be deduced from the relation:
ML = 106, where M = mass of the liquid.
∴ 2 x L = 106
=> L = 106/2 = 5.0 x 105J kg-1
Users' Answers & Comments
The effective capacitance in the circuit is given by:
1/C = 1/2 + 1/3 + 1/6 = 6/6
therefore C = 1μF or
1.0 x 10-6F.
Since C = Q/V, its implies that the charges Q, flowing in the circuit is given by Q = CV
= 1.0 x 10-6 x 12
= 12.0 x 10-6 Coulomb.
∴ P.d across the 6μF,
V = Q/C = | 12.0 x 10-6 |
6.0 x 10-6F |
= 2.0 volts
Users' Answers & CommentsFor the two point charges, the magnitude of the electrostatic force between them is given by the equation:
F ∝ 1/r2, and if the distance is increased by a factor of 4, that is new distance = 4r,
then, new force F ∝ 1/(4r)2
= ∝ 1/16r2
Thus it will be 1/16 of the former value
Users' Answers & CommentsIn general, the velocity of sound in air varies directly as the square root of temperature measured in kelvin.
That V ( \propto \sqrt{T} \implies V^2 \propto T. \
\text{Therefore} \frac{V^2_1}{T_1} = \frac{V^2_2}{T_2} \
\text{Thus Let } V_1 = 4m/s \
T_1 = 10K \\
\text{Therefore } V_2 = 2V_1 = 8m/s \
\implies \frac{4^2}{10} = \frac{8^2}{T_2} \
T_2 = \frac{64 \times 10}{16} = 40K\
T_2 = 4T_1 )
Thus when the velocity of sound in air is doubled, it's absolute temperature will be quadrupled.
Users' Answers & Commentslet the masses of the two objects be M1 and M2
and their distance apart = r
Therefore the force acting F1 = ( \frac{GM1M2}{r^2} )
for a new distance of r/2, we have a force of
F2 = ( \frac{GM2M2}{r/2} \
\text{Thus } F1 \times r^2 = GM1M1 \text{and} \
F2 \times (r/2)^2 = GM1M1 \\
\text{Since } GM1M1 = GM1M1 \
\implies F1 \times r^2 = F2 \times (r/2)^2 \
\text{Therefore } 200 \times r^2 = F2 \times r^2/4 \
F2 = \frac{4 \times 200 \times r^2}{r^2} = 800N )
Users' Answers & CommentsFor Hooke's law F = Ke
( \implies F/e = K \
f1/e1=f2/e2 \
\text{Let the original length} = t_0 \
\text{therefore} e1 = (36 - t_0)cm ; e2 = (46 - t_0)cm \
\text{if f1} = 40N \text{f2} = 60N \
\text{Then } \frac{40}{36 - t_0} = \frac{60}{45 - t_0} \
\implies 40(45 - t_0) = 60(36 - t_0) \
\text{therefore } 1800 - 40t_0 \
2160 - 60t_0 \\
60t_0 - 40t_0 = 2160 - 1800 \
20t_0 = 360 \ <br />
t_0 = 18cm \)
Users' Answers & Comments