WAEC Physics Past Questions & Answers - Page 48

236.

A lamp rated 100W, 240V is lit for 5hours. Calculate the cost of lighting the lamp if 1kWh of electrical energy cost N5.

A.

N2.50

B.

N3.20

C.

N6.50

D.

N9.60

Correct answer is A

Power = 100W; Voltage = 240V;  Time = 5 hours

Total energy used = Power x time = 100 x 5 = 500wh

converting to kwh, we have

\(\frac{500}{1000} = 0.5kWh \times N5 = N2.50\)

237.

A transformer connected to a 240\(V_{r.m.s}\) has 3000 turns in its primary coil and 500 turns in its secondary coil. Calculate the output voltage.

A.

4000V

B.

400V

C.

40V

D.

4V

Correct answer is C

\(N_{p} = 3000 turns\)

\(N_{s} = 500 turns\)

\(E_{p} = 240V_{r.m.s}\)

\(E_{s} = ?\)

\(\frac{N_{s}}{N_{p}} = \frac{E_{s}}{E_{p}}\)

\(\frac{500}{3000} = \frac{E_{s}}{240}\) 

\(\implies E_{s} = \frac{240\times500}{3000} = 40V\)

240.

A circuit is set up as shown in the diagram above. When the key is closed, the ammeter reading will be

A.

6A

B.

4A

C.

2A

D.

1A

Correct answer is C

The resistors are connected both in parallel and series. To calculate the total resistance, we have:

For the parallel connection: \(\frac{1}{R} = \frac{1}{1} + \frac{1}{1}\)

\(\frac{1}{R} = 2 \implies R = 0.5\Omega\)

For the series connection: \(R_{total} = (1 + 0.5)\Omega = 1.5\Omega\)

Recall, \(V=IR\)

\(3 = 1.5I  \implies I = \frac{3}{1.5} =2A\)