WAEC Past Questions and Answers - Page 3074

15,366.

Simplify(0.3 x 105) \(\div\) (0.4 \(\times\) 107), leaving you answer in the standard form.

A.

7.5 x 10-4

B.

7.5 x 10-3

C.

7.5 x 10-2

D.

7.5 x 10-1

Correct answer is B

\(\frac{0.3 \times 10^5}{0.4 \times 10^7} = \frac{3 \times 10^{-1} \times 10^{5}}{4 \times 10^{-1} \times 10^7}\)

\(\frac{3 x 10^4}{4 x 10^4}\)

\(\frac{3}{4}\) x 104-6 = 0.75 x 10-2

= 7.5 x 10-3

15,367.

Find the LCM of 23 x 3 x 52, 2 x 32 x 5 and 23 x 33 x 5

A.

22 x 33 x 52

B.

23 x 33 x 5

C.

22 x 32 x 52

D.

23 x 33 x 52

Correct answer is D

23 x 3 x 52

2 x 32 x 5

22 x 33 x 5

The L.C.M = 22 x 33 x 52

15,368.

Which of the following statements about the 3rd overtone of a vibrating air column of an open pipe is correct? It has

A.

4 nodes

B.

5 nodes

C.

3 antinodes

D.

4 antinodes

Correct answer is A

The 3rd overtone for an open pipe has 5 antinodes and 4 nodes.

15,369.

A rainbow is formed when sunlight is incident on water droplets suspended in the air due to

A.

interference

B.

refraction

C.

dispersion

D.

diffraction

Correct answer is C

No explanation has been provided for this answer.

15,370.

The diagram above illustrates two waves of equal amplitudes A and frequencies approaching each other. When the two waves meet at a point I midway between them, the vertical displacement of the resulting wave will be

A.

0

B.

\(\frac{A}{2}\)

C.

\(\frac{A}{4}\)

D.

\(2A\)

Correct answer is D

This is a type of constructive interference. When two waves of equal amplitude are interfering constructively, the resulting amplitude is twice as large as the amplitude of an individual wave.

= A + A = 2A