WAEC Past Questions and Answers - Page 3162

15,806.

The pair of musical instruments that works on the vibration of air in pipes is

A.

piano and the organ

B.

guitar and the flute

C.

trumpet and the violin

D.

flute and the trumpet

Correct answer is D

No explanation has been provided for this answer.

15,807.

The diagram given illustrates the waveform of a note produced by vibrations in an air column of length L. If the speed of sound in air is V, derive an expression for the frequency of the notes

A.

\(\frac{V}{L}\)

B.

\(\frac{5VL}{2}\)

C.

\(\frac{5L}{4V}\)

D.

\(\frac{5V}{4L}\)

Correct answer is D

L = \(\frac{5\lambda}{4}\)

\(\lambda = \frac{4L}{5}\)

But \(\lambda = f\lambda\)

f = \(\frac{v}{\lambda} = \frac{v}{\frac{4L}{5}}\)

= \(\frac{5v}{4L}\)

15,808.

Complementary colours are those which

A.

have the same refractive index

B.

have the same wavelength

C.

add-up to produce black light

D.

add-up to produce white light

Correct answer is D

No explanation has been provided for this answer.

15,810.

The bowed shape of the Production possibilities curve illustrates _________

A.

That production is inefficient

B.

That demand is relatively inelastic

C.

That production is unattainable

D.

The law of increasing marginal cost

Correct answer is A

Production possibility curve (PPC) shows the possible combination of different commodities that can be produced in a given economy given the prevailing level of technology, if all the available productive resources are efficiently utilised.
The reason for the shape of the PPC is something called the law of increasing opportunity costs. Basically, what this means is that as an economy devotes more of its resources to one kind of product, it becomes less efficient because, not all resources are equally suitable for all the industries. If resources are transferred from good A to B, initially the resources to be transferred will be those which could be the least efficient for A. Later, as more of good B needs to be produced, the resources that may be very efficient for good B and not so efficient for good B may also be transferred. In this situation, the economy loses on both sides. That means, the economy is usually inefficient on both ends of the PPC curve while it is the most efficient when resources are appropriately allocated for both goods according to their suitability which make the PPC to be curved. This is why the PPC is flatter at its end point and more curved in the middle.