WAEC Past Questions and Answers - Page 2913

14,561.

The diagram is a circle of radius |QR| = 4cm. \(\bar{R}\) is a tangent to the circle at R. If TPO = 120o, find |PQ|.

A.

2.32cm

B.

1.84cm

C.

0.62cm

D.

0.26cm

Correct answer is C

No explanation has been provided for this answer.

14,562.

The diagram is a circle with centre P. PRST are points on the circle. Find the value of < PRS

A.

144o

B.

72o

C.

40o

D.

36o

Correct answer is A

Reflex < POS = 2x (angle at centre is twice that at circumference)

reflex < POS + < POS = 350o(angles at a point)

i.e. 2x + 8x = 360o

10x = 360o

x = \(\frac{360}{10}\)

= 36o

< PRS = \(\frac{1}{2}\)

< POS(< at centre twice that circumference)

= \(\frac{1}{2}\) x 8x = 4x

4 x 36o

< PRS = 144

14,563.

The diagram above is an illustration of an a.c. circuit.Calculate the reactance of the capacitor.

A.

2016Ω

B.

2000Ω

C.

200Ω

D.

4000Ω

Correct answer is C

Capacitive reactance, X\(_C\) = \(\frac{1}{2πFC}\) → \(\frac{1}{2π * 500/π * 5 * 10^{-6}}\)

\(\frac{1}{0.005}\) → 200Ω

14,564.

Which of the following statements is an effect of compressing gas molecules at constant temperature? 

A.

The pressure on the molecules decreases.

B.

The molecules gain more kinetic energy

C.

The molecules make more impact per second on the walls of the container

D.

The molecules increase in size

Correct answer is C

More collisions mean more force, so the pressure will increase. 

When the volume decreases, the pressure increases.

This shows that the pressure of a gas is inversely proportional to its volume.

This is shown by  Boyle's law.

14,565.

A ball is swung in a horizontal circle of centre O with a constant speed. acceleration?

A.

Away from O

B.

Along the Circumference of the circle

C.

Toward centre O

D.

Along a tangent to the circle

Correct answer is C

Simple harmonic motion (SHM) is a special type of periodic motion where the restoring force on the moving object is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position.