WAEC Physics Past Questions & Answers - Page 6

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51.

The diameter of a brass ring at 30 °C is 50.0 cm. To what temperature must this ring be heated to increase its diameter to 50.29 cm? [ linear expansivity of brass = 1.9 x 10\(^{-5}\) K\(^{-1}\)]

A.

152.6 °C

B.

182.6 °C

C.

306.1 °C

D.

335.5 °C

Correct answer is A

L1=50.
T1 = 30 + 273 = 303k
Linear expansivity =  1.9 x 10\(^{-5}\)

L2 = 50.29

Temp rise= ?

L2 - L1 = 50.29 - 50 = 0.29
Linear expansivity = \(\frac{L2-L1}{L1(T2-T1)}\)

1.9 x 10\(^{-5}\) = \(\frac{0.29}{50*(T2 - 303)}\)

1.9 x 10\(^{-5}\) * 50 (T2 - 303) = 0.29

T2 = \(\frac{0.29}{50 * 1.9 * 10^{-5}}\) + 303

T2 = 152.6 °C

52.

Which of the following statements-about electromagnetic waves is not correct?

A.

They carry energy as they travel through space

B.

They travel with the speed of light

C.

They are longitudinal

D.

The electric and magnetic fields are at right angles to each other

Correct answer is C

All electromagnetic waves are:

  • transverse waves; can travel through a vacuum ;
  • travel at exactly the same speed in a vacuum, the speed of light, 300,000,000 m/s.
  • transfer energy from one place to another;
  • can be reflected;
  • can be refracted .
  • The oscillations of and are perpendicular to each other and are in the same phase.

53.

The distance between the fixed points of a mercury-in-glass thermometer is 30 cm. Determine the temperature when the mercury level is 10.5 cm above the lower fixed point

A.

28.6ºC

B.

30.0 ºC

C.

35.0 ºC

D.

40.5 ºC

Correct answer is C

\(\frac{10.5-0}{30-0}\) = \(\frac{c-0}{100-0}\)

\(\frac{10.5}{30}\) = \(\frac{c}{100}\)

cross multiply:

10.5 * 100 = 30c

35.0 ºC = c

54.

A hunter fires a gun at a point 408 m away from a cliff. If he hears an echo 2.4 s later, determine the speed of the sound wave

A.

340 ms\(^{-1}\)

B.

380 m s\(^{-1}\)

C.

400 m s \(^{-1}\)

D.

680 m s\(^{-1}\)

Correct answer is A

speed of the sound wave = \(\frac{distance * 2}{time}\)

= \(\frac{408 * 2}{2.4}\)

: speed of the sound wave = 340 ms\(^{-1}\)

55.

When the direction of vibration of the particles of a medium is perpendicular to the direction of propagation of a wave, the wave is said to be--------

A.

longitudinal

B.

transverse

C.

mechanical

D.

a sound wave

Correct answer is B

In physics, a transverse wave is a wave whose oscillations are perpendicular to the direction of the wave's advance.

This is in contrast to a longitudinal wave which travels in the direction of its oscillations. Water waves are an example of transverse wave.

57.

Gamma rays are produced when?

A.

high velocity electrons are abruptly stopped in metals

B.

energy changes occur within the nuclei of atoms

C.

energy changes occur within the electronic structure of atoms

D.

electrons are deflected in very strong magnetic fields

Correct answer is B

Gamma rays are produced in the disintegration of radioactive atomic nuclei and in the decay of certain subatomic particles.

Gamma radiation is emitted by excited nuclei or other processes involving subatomic particles;

it often accompanies alpha or beta radiation, as a nucleus emitting those particles may be left in an excited (higher-energy) state.

58.

If the kinetic energy of an electron is 100 eV, what is the wavelength of the de-Broglie wave associated with it? [h = 6.6 x 10\(^{-34}\) J s, e = 1.6 x 10\(^{19}\)C, m\(_{e}\), = 9.1 x 10\(^{-31}\) kg]

A.

1.22 x 10\(^{-10}\)m

B.

4.10 x 10\(^{-10}\)m

C.

3.90 x 10\(^{-10}\)m

D.

5.50 x 10\(^{-14}\)m

Correct answer is D

de broglie wavelength formula in terms of kinetic energy:

 λ = \(\frac{h}{\sqrt{2mE}}\) 

 λ = \(\frac{6.6 *10^{-34}}{\sqrt{2 *9.1*10^{-31} *100 }}\)

 λ = 5.50 x 10\(^{-14}\)m

59.

Arrange the following radiations in order of increasing ionization of air.

I. Alpha

Il. Gamma

IIl. Beta

A.

I < III < II

B.

II < I < III

C.

II < III < I

D.

I < II

Correct answer is C

Alpha particles are highly ionising because of their double positive charge, large mass (compared to a beta particle) and because they are relatively slow.

They can cause multiple ionisations within a very small distance.

And the gamma radiation has the least ionising power.

60.

In doping an intrinsic semiconductor to produce a p-type semiconductor,

A.

the semiconductor is heated up

B.

a donor element is added

C.

an acceptor element is added

D.

the semiconductor is conducted to a battery

Correct answer is C

If the dominant impurity atoms are ACCEPTOR type in the semiconductor, it will have a majority of holes over the electrons [p-type]