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Physics Form 4  Answers

                         the gap will be diffracted    •  Radio waves with longer   (c)  sin 45  = 0.7071
                                                                                        0
                                                                                        –1
                         in the children’s area   [1]   wavelength will diffract      r = sin  0.4877 = 29.2°
                        •  The smaller amplitude        around the mountain    Q4  (a)  The speed of light in glass block
                         of the diffracted waves        more compared with         is slower than the speed of
                         causes the sea to be           radio waves with shorter   light in water. This is because
                         calmer.          [1]           wavelength       [1]       the refractive index of glass is
                                         10         (iii)  •  Example 2   [1]      larger. Therefore, its density is
                                                       •  There is a vacuum        greater than that of water.
               Section C                                between the Sun and the              c air
                 8.   (a) Refraction of waves is a      Earth            [1]     (b)     n  =   c medium
                     phenomenon that occurs when       •  The fact that ultraviolet          c air
                     there is a change of direction     rays reach the                 1.33  =   c water
                     of the propagation of waves        Earth shows that                     c air
                     travelling from one medium to      electromagnetic waves        and 1.52  =   c glass
                     another due to a change of         travel through vacuum  [1]        c air
                     speed.               [1]                        Max  7        c glass  c water  1.33
                  (b)  (i)  Sound waves travel faster in                            c water  =   c air     1.52   = 0.88
                        air when the temperature of                                      c glass
                        the air is higher.   [1]
                     (ii)  •  At daytime, when it is hot,   Chapter            Checkpoint    6.2
                         the surface of the Earth   6  Light and Optics
                         heats up faster than the                             Q1  (a)  The angle of incidence ray BC
                         air.             [1]   Checkpoint                         is larger than the critical angle.
                        •  Hence, the hot surface of          6.1                  Thus, total internal reflection
                         the Earth causes the layer    Q1  i  = 140° – 90° = 50°   occurs.
                         of air near the surface to   r = 125° – 90° = 35°       (b)  Light ray DE refract away
                         be warmer than the upper    sin i                         from normal because it leaves
                         layer.           [1]    n =  sin r                        from glass prism to air, from a
                        •  This causes the sound    sin 50°                        denser medium to a less dense
                         waves to be refracted          =  sin 35°                 medium.
                         away from the Earth.   [1]         = 1.34                   1     1
                        •  On a cool night, the                               Q2  n =   sin c  =  sin 42°  = 1.49
                         surface of the Earth cools    Q2  D a  = 12 – 10 = 2 cm
                         down faster than the air.     D r    D r                      1.49 =   sin P
                                          [1]    n =   D a  → 1.50 =   2                 sin 40°
                        •  Hence, the air near the   D r  = 1.5 × 2 = 3.0 cm           sin P = 1.49 × sin 40°
                         surface of the Earth                                            = 0.9578
                         becomes cooler than the   \The thickness of glass block is              P = 73.3°
                         upper layer.     [1]         3.0 cm                            Q = 90° – 40° = 50°
                        •  This causes the sound    Q3  i  sin i  r   sin r
                         waves to be refracted                                          R = Q = 50°
                         towards the Earth.   [1]   22  0.3746  15   0.2588             S = 90° – 50° = 40°
                                          6         28  0.4695  19   0.3256       1.49 sin 40° = 1 sin T
                                                                                            –1
                  (c)  (i)  •  Transverse waves   [1]  33  0.5446  22  0.3746             T = sin  (1.49 sin 40°)
                        •  Travel with a speed of   35  0.5736  26   0.4384             T = 73.3°
                          3 × 10  m s  in
                              8
                                 –1
                          vacuum          [1]       41  0.6561  27   0.4540   Q3
                        •  Transfer energy from one
                         place to another      sin i
                          (Other characteristics
                         acceptable)      [1]  0.9
                                          3
                     (ii)  1.  Sound wave does not
                          travel in vacuum.   [1]  0.7                            •  Periscope is used to see an
                        2.  Sound wave is a                                       object behind the observer.
                          longitudinal wave.   [1]                                •  Image formed is inverted and
                                          2  0.5                                  same size as object.
                  (d)  (i)  •  Example 3   [1]
                        •  The microwaves    0.3                         sin r  Checkpoint   6.3
                         transmitted will be   0.2   0.3  0.4   0.5   0.6     Q1  (a)  The focal point is the point on
                         reflected by the plane and   (a)  Set of reading for angle of   the principal axis where the light
                         return to the receiver   [1]  incident = 35°              rays parallel to the principal axis
                     (ii)  •  Example 1   [1]                                      after passing through the lens
                        •  The mountain is an    (b)  n  =   0.454                 will converge on it.
                         obstacle         [1]           0.6561
                                                      = 1.45


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       ANS FOC PHYSICF F4 1P.indd   261                                                              29/01/2020   2:04 PM
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