WAEC Past Questions and Answers - Page 2837

14,181.

.An inductor of inductance 10 H is connected across an a.c circuit source of 50 V, 100 Hz. What is the current in the circuit? [\(\pi\) = 3.14]

A.

0.200A

B.

0.070A

C.

0.050A

D.

0.008A

Correct answer is D

Given Data: L = 10, V = 50, F = 100, I = ?

Inductive Reactance [X\(_L\)] = 2\(\pi\)FL → 2 * 3.14 * 100 * 10

X\(_L\) = 6,280

Current[I] = \(\frac{V}{X_L}\) → \(\frac{50}{6280}\)

I = 0.0079 

≈ 0.008A 

14,182.

A galvanometer with a full-scale deflection of 20 mA is Converted to read 8 K by connecting a 395 \(\Omega\) resistor in series with it. Determine the internal resistance of the galvanometer

A.

2.5\(\Omega\)

B.

5.0\(\Omega\)

C.

8.0\(\Omega\)

D.

10.0\(\Omega\)

Correct answer is B

r = resistance of the galvanometer

l = current through galvanometer = 20mA or 0.02A

V1 = p.d across the galvanometer = I X r = 0.02 X r

: V1 = 0.02r

V2 =  p.d across the  multiplier = 8 - 0.02r


R = resistance of the multiplier = 395Ω

where R = \(\frac{V}{I}\) 

--> 395 = \(\frac{8−0.02r}{0.02}\)

CROSS MULTIPLY

8−0.02r = 395 * 0.02

8−0.02r = 7.9

--> 0.02r = 8 - 7.9

∴ r = \(\frac{0.1}{0.02}\)

 = 5Ω

14,183.

Which of the following statements about electric potential energy is not correct?

A.

The electric potential energy of a positively charged particle increases when it moves to a point of higher potential

B.

The electric potential energy of a negatively charged particle increases when it moves to a point of lower potential

C.

The electric potential energy of a positively charged particle decreases when it moves to a point of higher potential

D.

The work done in taking a charged particle around a closed path in an electric field is zero.

Correct answer is B

The potential energy for a positive charge increases when it moves against an electric field

And decreases when it moves with the electric field;

The opposite is true for a negative charge. Unless the unit charge crosses a changing magnetic field, its potential at any given point does not depend on the path taken.

14,184.

Three cells each of emf, 1.0 V, and internal resistance, 2 \(\Omega\), are connected in parallel across a 3\(\Omega\)  resistor. Determine the current in the resistor.

A.

0.90A

B.

0.39A

C.

0.30A

D.

0.01A

Correct answer is C

Given Data: Emf = 1v, r = 2 ohms, R = 3 ohms, I = ?

3 resistance in parallel = \(\frac{1}{r_1}\) + \(\frac{1}{r_2}\) + \(\frac{1}{r_3}\)

\(\frac{1}{r_T}\)= \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\)

\(\frac{1}{r_T}\) = \(\frac{1+1+1}{2}\)

\(\frac{1}{r_T}\) = \(\frac{3}{2}\)

cross multiply

r\(_T\) = \(\frac{2}{3}\) or 0.67

E = I(R+r) 

1 = I(3+0.67)

1 = I(3.67)

1 ÷ 3.67 = I

0.27 = I

: I ≈ 0.30A

14,185.

Which of the following statements about a straight current-carrying wire placed in a uniform magnetic field is correct? The wire experiences ---------------

A.

maximum motor force if the current reverses its direction

B.

no motor force of it is parallel to the field

C.

no motor force if it is perpendicular to the field

D.

a motor force with constant direction if either the current or the magnetic field is reversed

Correct answer is B

The greatest force is experienced when the conductor is at right angle to the field.

I.e at perpendicular or Ø = 90°