JAMB Physics Past Questions & Answers - Page 454

2,266.

A 2H inductor has negligible resistance and is connected to a 50/π Hz A.C. Supply. The reactance of the inductor is

A.

200 Ω

B.

50 Ω

C.

100/π Ω

D.

25/π Ω

Correct answer is A

Inductive reactance is given by
XL = WL = 2πfL
XL = 2 x π x (50/π) x 2
XL = 200Ω

2,267.

A certain radioactive source emits radiations that were found to be deflected by both magnetic and electric fields. The radiations are

A.

beta rays

B.

gamma rays

C.

x-rays

D.

ultra-violet rays

Correct answer is A

No explanation has been provided for this answer.

2,268.

If the fraction of the atoms of a radioactive material left after 120years is 1/64, what is the half-life of the material?

A.

24 years

B.

20 years

C.

10 years

D.

2 years

Correct answer is B

1/64 is the usual fraction left of any radio active material after 4 half-lives, since 1/64 = (1/2)6
This implies that 6 half lives have elapsed.
Thus 6 half lives = 120 years
∴ 1 half life = 120/6 = 20 years

2,269.

If the frequency of an emitted x-ray is 1.6 x 10\(^{16}\)Hz, the accelerating potential is?
[e = 1.6 x 10\(^{19}\)C, h = 6.63 x 10\(^{-34}\)Js]

A.

6630.0V

B.

663.0V

C.

66.3V

D.

6.6V

Correct answer is C

Energy imparted by the accelerating system = e x V, where V is the accelerating potential; and this energy is equal to the energy of the X-ray, give by hf

e x V = hf
∴ V = hf/e
(6.63 x 10\(^{-34}\) x 1.6 x 10\(^{16}\))/1.6 x 10\(^{-19}\)

= 6.63 x 10 = 66.3V

2,270.

An electric generator with a power output of 3.0KW at a voltage of 1.5KV distributes power along cables of resistance 20.0Ω. The power loss in the cables is

A.

80.0W

B.

40.0W

C.

10.0W

D.

0.1W

Correct answer is A

Power input = 3KW = 3000W
Voltage = 1.5KV = 1500V
Current (I) = P/V = 3000/1500 = 2Amps.
∴ Power loss in the cables = I2R
= 2 x 2 x 20
= 80W