WAEC Past Questions and Answers - Page 2802

14,006.

In the Rutherford scattering experiment, a beam of alpha particles was fired at a thin gold film and few of the particles were deflected considerably. This shows that the nucleus of an atom

A.

is positively charged and is concentrated in a tiny volume

B.

contains protons and electrons distributed in a tiny volume.

C.

is concentrated in a tiny volume and contains alpha particles.

D.

is distributed in a tiny volume and emits alpha particles.

Correct answer is A

The Rutherford scattering experiment showed that the nucleus of an atom:
is concentrated in a tiny volume and is positively charged.
In the experiment, when alpha particles were fired at a thin gold foil, most of the alpha particles passed straight through, but a few were deflected considerably. This result led Rutherford to conclude that the positive charge of the atom is concentrated in a small, dense nucleus at the center of the atom. The fact that some alpha particles were deflected strongly indicated that there was a positively charged nucleus within the atom. This experiment was crucial in developing our understanding of atomic structure and led to the model of the atom with a central nucleus containing protons and neutrons, surrounded by electrons.

14,007.

A lead bullet of mass 0.05 kg is fired with a speed of 200 m/s into a lead block of mass 0.95 kg at rest. Given that the lead block moves after the impact, determine its kinetic energy.

A.

150J

B.

200J

C.

50J

D.

100J

Correct answer is C

\(M_{bullet}\) = 0.05kg, \(V_{bullet}\) = 200m/s, \(M_{block}\) = 0.95kg and \(V_{block}\) = 0 

for an inelastic collision

\(M_{bullet} \times V_{bullet} + M_{block} \times V_{block} =  (M_{bullet} +  M_{block})\)v

 0.05 x 200 + 0.95 x 0 = ( 0.05 + 0.95)v

10 + 0 = v 

v = 10m/s

K.E of the block = \(\frac{1}{2}mv^2\)

K . E =  \(\frac{1}{2} \times(0.05 + 0.95) \times10^2\) ( bullet now part of the block)

K . E =  \(\frac{1}{2} \times1 \times100\)

 = 50J

14,008.

A ball, P, is released from the roof of a building at the same time as another ball, Q, is thrown vertically upward from the base of the building. Which of the following statements is correct?

A.

The acceleration of P is greater than that of Q and both are in the same direction.

B.

The acceleration of P is less than that of Q and both are in the same direction.

C.

The acceleration of P is equal to that of Q and both are in the same direction.

D.

The acceleration of P is equal to that of Q and are in opposite directions.

Correct answer is C

The correct statement is:
The acceleration of P is equal to that of Q and both are in the same direction.
When ball P is released from the roof of the building, it falls freely under the influence of gravity. Similarly, when ball Q is thrown vertically upward, it initially moves upward but is also under the influence of gravity, which acts to slow it down and eventually makes it fall back down.
Both balls, P and Q, are subjected to the same acceleration due to gravity (assuming no other forces are acting on them), which is approximately 9.8 m/s² near the surface of the Earth, and this acceleration acts in the downward direction. Therefore, the acceleration of P is equal to the acceleration of Q, and both are in the same direction, which is downward.

14,009.

The colours of the visible light region of the electromagnetic spectrum that have the shortest and longest wavelengths respectively are

A.

red and blue.

B.

indigo and violet

C.

violet and red.

D.

yellow and blue.

Correct answer is C

The colors of the visible light spectrum with the shortest and longest wavelengths respectively are:

Violet and red.

Violet light has the shortest wavelength among visible colors, while red light has the longest wavelength. The visible light spectrum, in order of increasing wavelength, goes from violet to blue, green, yellow, orange, and finally red.

14,010.

The property of a body that determines the direction of heat flow when the body is in contact with another body is the

A.

Heat capacity

B.

mass

C.

Power

D.

Temperature

Correct answer is D

The property of a body that determines the direction of heat flow when the body is in contact with another body is the temperature.

Heat naturally flows from a body at a higher temperature to a body at a lower temperature. Temperature is a measure of the average kinetic energy of the particles in a substance. When two objects at different temperatures come into contact, heat energy tends to transfer from the warmer object to the cooler one until they reach thermal equilibrium (they are at the same temperature). This is known as the second law of thermodynamics, which describes the direction of heat flow.