2018 - JAMB Physics Past Questions and Answers - page 7

61

A solid cube of side 50cm and mass 75kg floats in a liquid with \(\frac{1}{3}\) of its height above the liquid surface. The relative density of the liquid is?

A
0.33
B
0.50
C
0.67
D
0.90
correct option: d

Volume of liquid displaced

 = \(\frac{2}{3}\)(0.5)\(^3\)

  Mass of liquid displaced = mass of floating cube = 75kg

  Density of liquid = \(\frac{mass}{volume}\)

  = \(\frac{75}{(\frac{7}{3(0.5)})}\)  × 3

  = 0.9 × 103kgm\(^{-3}\)

  R.D of liquid = \(\frac{(0.9 )}{(1.0)}\) × 103

  = 0.9

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62

A man hears his echo from a nearby hill 2s after he shouted. If the frequency of his voice is 260Hz and the wavelength is 1.29m, how far away is the hill

A
330.0m
B
335.4m
C
660.0m
D
670.8m
correct option: b

V = F × lambda
= 260 × 1.29
= 335.4ms\(^{-1}\)

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63

Which of the following is an essential physical property of the wires uses for making fuses ?

A
Low density
B
Hypothermal conductivity
C
Low electrical resistivity
D
Low melting point
correct option: d
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64

A 40W instrument has a resistance 90 Ohms. On what voltage should it be operated normally

A
60V
B
150V
C
225V
D
360V
correct option: a

P = 40W

  R = 90W

  V = ?

  P = \(\frac{V^2}{R}\)

  V\(^2\) = PR = 40 x 90

  V\(^2\) = 3000

  V = √3600

  V = 60N

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65

Mercury which is spilled onto a glass surface forms ball-like shapes because____.

A
Mercury is a metal
B
The cohesive force between its molecules is greater than the adhesive force between mercury and glass molecules
C
The cohesive force between its molecules is less than the adhesive force between mercury and glass molecules
D
The viscosity of mercury is height
correct option: b
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66

Water of mass 150g at 60\(^o\)c is added to 300g of water at 20\(^o\)c and the mixture is well stirred. Calculate the temperature of the mixture.(neglect heat losses to the surroundings)

A
33\(^o\)c
B
40\(^o\)c
C
25\(^o\)c
D
10\(^o\)c
correct option: a

Water 1 => M = 150g = 0.15kg,

  θ\(_2\) = 60\(^o\)C; θ\(_1\) = θ

  Q\(_1\) = MC (θ\(_2\) – θ\(_1\))

  = 0.15C (60 - θ)


  Water 2 => M = 300g = 0.3kg

  θ1 = 20\(^o\)C, θ\(_2\) = θ

  Q2 = MC (θ\(_2\) – θ\(_1\))

  = 0.3C (θ – 20)

  Combine Q1 & Q2, we get:

  0.15C (60 - θ) = 0.3C (θ – 20)

  9 – 0.15θ = 0.3θ – 6

  0.3θ + 0.15θ = 9 + 6

  0.45 θ = 15

  θ = 33.33\(^o\)C

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67

Which of the following phenomena is the practical evidence for the existence of the continual motion of molecules.

A
Transitional Motion
B
Rotational Motion
C
Brownian Motion
D
Oscillatory Motion
correct option: c

Brownian motion: any of various physical phenomena in which some quantity is constantly undergoing small, random fluctuations.

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68

The process by which protons are converted into helium atoms with a tremendous release of energy is called?

A
thermionic emission
B
nuclear fission
C
thermonuclear fusion
D
photoelectric emission
correct option: c

Thermionic emission: thermally induced flow of charge
Nuclear fission: nuclear reaction or a radioactive decay process
Photoelectric emission: emission of electrons or other free carriers when light shines on a material

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69

Which of the following is not a product of nuclear fusion?

A
X – ray
B
Y –ray
C
α – particles
D
neutron
correct option: a

Y – Ray is a penetrating electro-magnetic radiation.
α – particle is produced in the process of alpha decay.
Neutron is a sub-atomic particle.

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70

A room is heated by means of a charcoal fire, an occupants of the room standing away from the fire is warmed mainly by

A
Convection
B
Radiation
C
Conduction
D
Reflection
correct option: b

Radiation is the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization

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