JAMB Physics Past Questions & Answers - Page 233

1,161.

A transformer has a primary coil with 500 turns and a secondary coil with 2500 turns. When the voltage input to the primary coil is 120V, the output is

A.

6000V

B.

600V

C.

240V

D.

60V

E.

24V

Correct answer is B

For transformers, \(\frac{V_p}{V_s}\) = \(\frac{N_p}{N_s}\) = \(\frac{I_p}{I_s}\)

\(\frac{500}{2500}\) = \(\frac{120}{V_s}\)

Vs = 600v

1,162.

Which of the following statements is NOT correct?

A.

A galvanometer can be converted to an ammeter with a different range by connecting a high resistance in series

B.

An electric current always produces a magnetic field

C.

Maxwell's screw rule states that if a corkscrew moves inthe direction of the current, the hand turns in the direction of the lines of force

D.

Electromagnets are used in electric bells and telephone recievers

E.

The lines of force round a straight current carrying conductor are circular

Correct answer is A

No explanation has been provided for this answer.

1,163.
1,164.

An electric kettle, connected to a 240V mains, produces 6.0 x 105J of heat energy to boil a quantity of water in 5 minutes. Find the resistance of the kettle.

A.

14.4\(\Omega\)

B.

28.8\(\Omega\)

C.

144\(\Omega\)

D.

288\(\Omega\)

E.

2880\(\Omega\)

Correct answer is B

Heat energy = Electrical energy

6 x 105 = \(\frac{V^2}{R}\)t

R = \(\frac{240 \times 240 \times 5 \times 60}{6 \times 105}\)

= 28.8\(\Omega\)

1,165.

A wire P has half the diameter and half the length of a wire Q of similar material. The ratio of the resistance of P to that of Q is

A.

8 : 1

B.

4 : 1

C.

2 : 1

D.

1 : 1

E.

1 : 4

Correct answer is C

Resistance \(\alpha\) \(\frac{length}{area}\)

\(\frac{R_Q}{R_P}\) = \(\frac{L_QA_P}{L_PA_Q}\)

LQ = 2LP

DQ = 2DP

AP = \(\pi\)\(\frac{(2D_P)^2}{2}\)

= \(\pi\)DP

AQ = \(\pi\)\(\frac{(D_P)^2}{2}\)

= \(\frac{1}{4}\)\(\pi\)DP

therefore, \(\frac{R_Q}{R_P}\) = \(\frac{2L_P \times \pi D_P}{L_P \times \frac{1}{4} \pi D_P}\)

= 2 : 1