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Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
50cm\(^3\) of air at a pressure of 5Nm\(^{-2}\) is enclosed in a metal tube by a piston. If the piston is pushed in a distance of 10cm, what will the pressure of the air become, if the cross-sectional area of the tube is 2cm\(^{-2}\)? (Assume that the temperature remains constant throughout)
A
12.5 Nm-2
B
8.7 Nm-2
C
8.3 Nm-2
D
3.8Nm-2
E
3.0Nm-2
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
This is an application of Boyle’s Law (since temperature is constant):
P\(_1\)V\(_1\) = P\(_2\)V\(_2\)
Given:
- Initial volume, V\(_1\) = 50 cm\(^3\)
- Initial pressure, P\(_1\) = 5 N m\(^{-2}\)
- Distance piston is pushed in = 10 cm
- Cross-sectional area of tube, A = 2 cm\(^2\)
Decrease in volume = Area \times Distance moved
= 2 cm\(^2\) \times 10 cm
= 20 cm\(^3\)
Calculate the new volume V\(_2\)
V\(_2\) = V\(_1\) − decrease in volume
= 50 cm\(^3\) − 20 cm\(^3\)
= 30 cm\(^3\)
Apply Boyle’s Law
P\(_1\)V\(_1\) = P\(_2\)V\(_2\)
5 \times 50 = P\(_2\) \times 30
P\(_2\) = \(\frac{(5 \times 50)}{ 30}\)
P\(_2\) = \(\frac{250}{30}\)
P\(_2\) = \(\frac{25}{3}\) N m\(^{-2}\)
(The pressure increases because the volume decreases at constant temperature.)
Source: Myschool Past Questions Archive (Record #42812)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
What is the energy stored in a 10μ F capacitor if the potential difference between the plates is 40 V?
A
2.0 × 10-4J
B
8.0 ×10-4J
C
4.0 × 10-3J
D
8.0 × 10-3J
E
1.6 × 10-2J
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #42815)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
A waterfall is 630m high. What is the change in temperature of a quantity of water that falls from the top to the bottom of the waterfall? (Neglect heat losses to the surroundings, take g as 10 ms-2 and specific heat capacity of weather as 4200J kg-1K-1
A
0.015°C
B
1.50°C
C
15.00°C
D
21.00 °C
E
50.00°C
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
water height as 630m, gravity = 10m/s\(^2\), specific heat capacity of weather as 4200J
Temperature change = \(\frac{gh}{c}\) = \(\frac{630 \times 10}{4200}\)
= 1.5ºC
Source: Myschool Past Questions Archive (Record #42818)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
N.N.P.C. gas cylinder containing 15kg of cooking gas was left open, and the gas emptied in 3.8 minutes, at an average speed of 20 ms-1. What force was exerted on the gas in the cylinder?
A
132N
B
13.2N
C
1.32N
D
0.132N
E
0.013N
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42819)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
A metal has a work function of 3.0 eV. What is the threshold frequency of the metal when electrons are just liberated from the metal.(1 eV = 1.6 \times 10-19J; h = 6.6 \times 10-34Js)
A
4.8 × 10-19Hz
B
9.3 × 10-7Hz
C
4.8 × 1014Hz
D
7.3 × 1014Hz
E
9.3 × 1014Hz
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The work function (\(\phi\)) of a metal is defined as:
\(\phi = hf_0\)
\(f_0 = \frac{\phi}{h}\)
\(\phi = 3.0 eV = 3.0 \times 1.6 \times 10^{-19}\)
= \(4.8 \times 10^{-19} J\)
\(f_0 = \frac{4.8 \times 10^{-19}}{6.6 \times 10^{34}}\)
= \(0.727 \times 10^{15} s^{-1}\)
= \(7.27 \times 10^{14} s^{-1}\)
\(\approxeq 7.3 \times 10^{14} Hz\)
Source: Myschool Past Questions Archive (Record #42828)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
A body whose initial velocity is u is uniformly accelerated to a final velocity v in t seconds. If the distance travelled is s, and the acceleration is a, which equation is INCORRECT for the motion of the body?
A
s = ut+\(\frac{1}{2}\)at2
B
v2 = u2 + 2as
C
v =u + at
D
v = u + 2as
E
s = \(\frac{1}{2}\)(u+v)t
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #42829)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
Which statement is a correct consequence of the uncertainly principle?
A
A particle’s kinetic energy cannot be measured accurately at any time
B
Both momemtum and energy of a particle can be known with absolute certainly
C
It is possible to measure exactly both the position and momentum of a particle at the same time
D
The complete knowledge of the position of a particle implies the complete ignorance of its energy
E
The uncertainty in our knowledge of energy and the duration taken to measure it, are each less than Planck’s constant.
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
This statement effectively captures the essence of the uncertainty principle, which states that if you have precise information about one property (such as position), it restricts your ability to know another property (like momentum and energy) accurately.
Source: Myschool Past Questions Archive (Record #42832)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Which statements(s) is/are NOT true?
I. A saturated vapour is one that is in equilibrium with its liquid in a closed space. II. A vapour contains molecules with varying kinetic energy and their distances apart are smaller than those of the molecules of a liquid
III. Relative Humidity = \(\frac{\text{Saturated vapour pressure at dew point}} {\text{Saturated vapour pressure at air temperature}}\) x 100%
IV. The saturated vapour pressure of water increases with temperature
A
I only
B
II only
C
II and III only
D
III and IV only
E
II, III and IV only
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #42833)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
When water is heated between 0^\circC and 4^\circC, it's density
A
increases for a while and then decreases
B
decreases for a while and then increases
C
increases
D
decreases
E
remains constant.
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Water exhibits a unique property known as anomalous expansion between 0^\circC and 4^\circC.
When water is heated from 0^\circC, its density increases and reaches a maximum at approximately 4^\circC (precisely 3.98^\circC). This means the volume actually decreases slightly in this temperature range.
Beyond 4^\circC, the density begins to decrease as normal thermal expansion occurs, and the volume increases with further rise in temperature.
This unusual behaviour is why water is densest at 4^\circC.
Source: Myschool Past Questions Archive (Record #42837)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
The main function of the commutator in a simple d.c. motor is to
A
enable the armature to rotate freely
B
increase the flux linking the armature windings
C
maintain a direct current in the armature
D
provide uniform magnetic field around the armature
E
reverse the direction of the current in the armature.
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Reverse the direction of the current in the armature: This ensures that the magnetic forces acting on the armature continue to produce torque in the same rotational direction, allowing for continuous motion.
Source: Myschool Past Questions Archive (Record #42842)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
The falling of light energy on a metal such that electrons are liberated from the metal is called
A
electron effect
B
metal electron effect
C
metal emission
D
photoelectric effect
E
photoemission
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Under specific circumstances, electrons can be emitted out of the surface of a solid, when light strikes it. This is called the Photoelectric effect. It is also referred to as Photoemission or Photoelectric Emission.
Source: Myschool Past Questions Archive (Record #42844)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
Which statement is TRUE of a block of stone of mass m, with zero momentum?
A
The acceleration of the stone is non-uniform
B
The stone is stationary
C
The stone moves at a constant velocity
D
The stone moves with maximum velocity
E
The stone moves with minimum velocity.
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Momentum p = mv
If the momentum is zero, and the mass m is not zero, then: v = 0. This means the stone is not moving.
Source: Myschool Past Questions Archive (Record #42846)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
An electron of charge a = 1.6 × 10-19C is situated in a uniform electric field of intensity 2.4 × 105 V m-1. What is the force on the electron?
A
1.60 × 10-19N
B
3.84 × 1019N
C
1.92 × 10-14N
D
3.84 × 10-14N
E
7.68 × 10-14N
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #42847)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
Solution
An astronaut is walking on the moon where the magnitude of the acceleration due to gravity "g’ is one-sixth that on earth. Compared with their magnitudes on the earth, his mass and weight on the moon are
A
both less
B
less and the same respectively
C
the same and less respectively
D
the same as on earth
E
both greater.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
On the moon, the astronaut's mass remains unchanged, while his weight is one-sixth (\(\frac{1}{6}\)) of its value on Earth
Source: Myschool Past Questions Archive (Record #42850)
Physics
NECO SSCE 2001
Mechanics and Properties of Matter
What is the angular velocity of an object in a horizontal circular path of radius 1.5m with a constant speed of 12ms-1?
A
1.6 rads-1
B
4.0 rads-1
C
8.0 rads-1
D
16.0rads-1
E
32.0 rads-1
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42853)