WAEC Past Questions and Answers - Page 2834

14,166.

In the diagram, the value of x + y = 220o. Find the value of n

A.

20o

B.

40o

C.

60o

D.

80o

Correct answer is B

y + z = 180o

z = 180o - y

x + k = 180o

k = 180o - x

the sum of angles in the \(\bigtriangleup\) are: n + z + k = 180

but n + 180o - y + 180o - x = 180o

n + 180o - y - x = 0

but we want to find n

n + 180o = x + y

but x + y = 220o

n + 180o = 220o

n = 220o - 180o

n = 40o

14,167.

The distance between the fixed points of a mercury-in-glass thermometer is 30 cm. Determine the temperature when the mercury level is 10.5 cm above the lower fixed point

A.

28.6ºC

B.

30.0 ºC

C.

35.0 ºC

D.

40.5 ºC

Correct answer is C

\(\frac{10.5-0}{30-0}\) = \(\frac{c-0}{100-0}\)

\(\frac{10.5}{30}\) = \(\frac{c}{100}\)

cross multiply:

10.5 * 100 = 30c

35.0 ºC = c

14,168.

A hunter fires a gun at a point 408 m away from a cliff. If he hears an echo 2.4 s later, determine the speed of the sound wave

A.

340 ms\(^{-1}\)

B.

380 m s\(^{-1}\)

C.

400 m s \(^{-1}\)

D.

680 m s\(^{-1}\)

Correct answer is A

speed of the sound wave = \(\frac{distance * 2}{time}\)

= \(\frac{408 * 2}{2.4}\)

: speed of the sound wave = 340 ms\(^{-1}\)

14,169.

When the direction of vibration of the particles of a medium is perpendicular to the direction of propagation of a wave, the wave is said to be--------

A.

longitudinal

B.

transverse

C.

mechanical

D.

a sound wave

Correct answer is B

In physics, a transverse wave is a wave whose oscillations are perpendicular to the direction of the wave's advance.

This is in contrast to a longitudinal wave which travels in the direction of its oscillations. Water waves are an example of transverse wave.