JAMB Physics Past Questions & Answers - Page 448

2,236.

The current through a resistor in an a.c circuit is given as 2 sin wt. Determine the d.c. equivalent of the current

A.

A/√2

B.

2/√A

C.

2 A

D.

√2 A

Correct answer is B

If I = 2 Sin wt; but in a.c. circuit current I = I0 Sin wt; thus comparing the two equations, it implies that I0 = 2A; Again, the root means square (I(rms)) of an a.c. current is the value of the d.c. current that will dissipate the same amount of heat in a given resistance as the a.c.
and I(rms) = I0/√2 = 2.0A/√2

2,237.

I. Low pressure.
II. High pressure.
III. High p.d.
IV. Low p.d.
Which combination of the above is true of the conduction of electricity through gases?

A.

I and IV only

B.

I and III only

C.

II and IV only

D.

II and III only

Correct answer is B

Electricity conduction through gases is usually done under low pressure (I) and high voltage (III). Thus /B/

2,238.

The particles emitted when \( ^{39}_{19}K \text{ decay to } ^{39}_{19}K \) is

A.

gamma

B.

beta

C.

electron

D.

alpha

Correct answer is A

3919K 3919K.
Since neither the mass number (39), nor the atomic number (19) is affected by the emission,the particles emitted can only be gamma ray, which is not a charge particle, but simply a radiation.

2,239.

A cell can supply current of 0.4 A and 0.2 A through a 4.0Ω and 10.0Ω resistors respectively.
This internal resistance of the cell is

A.

2.0Ω

B.

1.0Ω

C.

2.5Ω

D.

1.5Ω

Correct answer is A

let the internal resistance of the cell = r,
therefore E = I (R+r)
(i) E = 0.4(4+r), (ii) E = 0.2 (10+r)
therefore 0.4 (4+r)= 0.2 (10+r)
1.6 + 0.4r = 2.0 * 0.2r
0.4r - 0.2r = 2.0 - 1.6
therefore 0.2r = 0.4 => r = 0.4/0.2 = 2Ω
therefore r = 2Ω

2,240.

the ratio of electrostatic force FE to gravitational force FG between two protons each of charge e and mass m, at a distance d is

A.

e/4πԐoGm

B.

e2/Gm2

C.

Gm2/4πԐoe2

D.

e2/4πԐoeGm2

Correct answer is D

Electrostatic force = FE = e2/4λEod2

Gravitational force = FG = GM2/d2