育教備懒頁三第張五第日二十月二年辰丙夏
WAH KIU ·
PO
報日僑單
五期星
日二十月三年六七九一慼公年五十六國民 中
57
1976中學會考試題預習專欄
物理科 (十八) 何輝明
PHYSICS
(42)
Solution for last week.
A) The spreading out which occurs with
the lone wavelengths (It depends on
the relative to the size of the gap) is known as diffraction (as. figure. i)
The short waves illustrate rectil- inear oropagation an
the gap. (as figure ing through
ncidunt
Fig. Diffraction
Shadow
Narrow beam
was
Shadow
Rectilinear
Foy it
• propagation
b)(i) Wave-length is the distance from
crest to crest or from trough to trough for a transverse wave. Therefore.
wave-length (A) = ?
A 30m
Ane.
(1) When waves are viewed through a stroboscope and appear stationary that means the freuencies of the vaves and the stroboscope äre in unison with one another, then:
(the frequency)
for the waver
(iii) The velocity
(The
of the ortay
VALVA
2(a) How is a transverse wave different
from a longitudinal wave? Name one example of each kind of vavA.
(b) Draw a diagram of wave and label
the wavelength and amplitude.
Draw a second diagram of the waves with twice the frenuency, but Af the aeme amplitude.
·0.85m
There is an open pipe. sounding its fundamental note as figure shown. (1) Draw a diagram of the same pine
Bounding its second harmonic.
(11) What is the wavelength of the
first overtone of it?
(11) Find the frequency of the first overtone if the velocity of sound is: 340m/s.
60.cm
AB = BY = yo
32 23 = yx.
A wire AC is stretched over. 2. bridges: A and C, they are rested on a hollow. box (a sonometer), x, v and 2 are light paper-riders reating on the wire. Another bridge is put at B and it does not touch the wire at all,
When the wire is plucked zently mid- way between A and B, x and z fall off but v stave on the wire
(1) What is the position of x and y.
called.
(ii) Give a reason why the paper at
-point v does not fall but x does.. If the whole length of AC is just 60cm. What is the wavelength of this note
Calculate the frequency of this note if the sound velocity is 360 m/s.
When this note is called 3rd
harmonic wave, try to determine its fundamental frequency.
5. If the co-ordinates of P, O and
(4,1) (7,0) and (^,-7) respectively, find ein POO.
are
4
A. Z
6. For what real values of x and y is x=y+?i=5+ {(x+y)1
the "bing true?'.
A. (4.-2)
D. (*,
B. (1,2). (C. (2,4). E. (1,2)
7. What is the maximum negative value
y if y2x2=253 ATC-25.
B.-1
E. cannot be determined i
- 2
8. Arca AB, and DC are semicircles with
the same radius. Quadrilateral ABCD is
a smuare with sides of hem. Find the total surface area of the solid. A. 12 an.co.
9. 16+20T 8".co.
C. 1277+16 B
D. 1680.ca.
E. 2010.cm.
A
9. If an auto license is to have 4 avo- bols, the first ? of which are letters and the remainder digits, how many dif- ferent license plates can be made? (1 and cannot be used as lettera, but can be used in either place as a digit). A 642 B. 576000. 49680.
·D. 46200
E. 64205
10. If 9 arithmatic means are to be in-
serted between 6 and 20 one of them will he
A. 10. B. 10.21
0.77
11. Which of the following is/are true?
(1) sin 45°=ein 135° (2) COB 83--cos 263° (3) tan 16°-tan 344°
A. (1) only ⠀ ⠀ B.,
only.
C. (1),(2) and (3) D. (1) and (2) only E. None of them
12 M
Which of the following is the rocal of
A.
a+b·
28Hz -Ans.
D
Wave-
={frequency)x
length
4 x 3
24cm/6-
新數科 (十七)
女長波·
13. An ausri :
16
-Ans
Question for next week
The figure below shows a ripole tank with RR as a straight ruler, which is moving un and down, so s to send a single ripple.
When the ripple reaches the position ACB, the lower end, B. meets the shallow water section of the tank.
R
Shallow watar
The wave velo- eity is only two-thirds of the initial value
(1) The ripple then travels further.
and the centre boint,, has just: reached O. The tou half of the ripple, A'0', is drawn in, but what. has happened to the lower half, O'B'? Draw the ripple ('B'.. (ii) A little later the top paint
reaches A" Draw: in the risple A"O"B" now.
Citi) What is the refractive index of
this pair of media?:
(iv) If the distance between two succ- essive creasts is an. and the wave travels. 28.8cm in 1.2 seconds. To find the wavelength
the velocity
附
the frequency
MODERN MATHEMATICS (17)
Multiple Choice Questions
*. Find x if
AMO 8.1 C..-1 DAM1
E. No real value possible
2. If ke" representa a given odd integen which of the following must also be an odd number?
A.2(k+1) Bok(k+1) G. (k+1)(k+2) D. (k+1)(k-1) : E. {k+1}?~1
3. Which of the following is an equation.
of a circle which is tangent to both the x and y axes and has a radius of 1?
A. (x−1)2+(y+1) =^ B。 (x+1)
D.
2
E. (x-1)+y
2+(y+1)2
4. If the cosine of each of A, B, C and Dia, which of the following. can be concluded?
A.
Points A, E and D
are collinear
B. COB E = 12
c. /AED is a right.
anglegg
D. ZAED and EDC are complementary
E, the given information is self-
contradictory.
**
filled with water and then is tilted on its side until the water level coincides with one adge" of the bottom. During the tilting pro- cess, 6 litres of water are poured out. What is the volume of the tank in litres?
A. 12 B.. 24- C. 36 ·D:48. E. 64 14. The graph of one cycle of y=3sin is
given as shown,
ate of P3
A.
B.T
01.2% D. 47 E. 6.
What is the x-coordin-
15. Which of the following statements
applies to the graphs of
(1) y=x+14
(?) y+1=2(x+3).
(3) y=?÷K(x-3)
A. only (1) and (2) are the same
B. no two are the same
C. only (2) and (3) are the same
D only (1) and (3) are the same E. all three are the same
Answer.
1. EX 2. E 3. A 7. C
Exercise 5 Multiple Choice
Choose the best option for each question
Each question carries “ mark.
2
Give the solutions of the system of equations.
px + y = P
+ pv z p
Where p £0 A. x=p+0, y=p+q C. x=p-a, y=?-p E. x=p+q, y=p+a
15
B. x-peo, y=p-q D. xa-p, y=p-q
5+
B.
A. 215. E. 2015-1
equals 9, then x
to
infinite terms,
A. 2 B. 40.
5. Solve for x:
2 A.
6. Simplify: log a
A.
-310g
Kab
B. lo
+b-fc
C. log ab'
D. 10R
E.log(a+b=3c)
Solve for x: log x -10g x = 4. 437 B.
or -2.
E. 2
9. Find the rati
of x:v if
2x-3y
A3:1 or 2:3
D. 1:3 or
B. 1:3
0.3:1 E. aome other ratio.
9. If a<x<b and c<xed; and also axc, bd, then the range of x is Aaxd
E. bx
D. cx
19. If x
-2, the value of
·A·2
B
G. 2-√2 D. If x is real, the least value of
A..
B. 3 C.
2
D
12. If a (b+c)+b]
E.O
+e (a-b) = k(a-b)(b-c)(c-a), then the value kis
A. 1 B. 2
D. -2
13. For nɔn-zero real numbers A.
D, E, a,b,c, let f(x)=Ax++Bx
also f(1)=0), f()= then f(x) can be rewritten in the form.
A. f(x)=(x+1) (3x+2) (ax+b)
B. f(x)=(x-1) (3x-2)(ax+b). C. f(x)=(x+1}{3x+2}{ax2+bx+c)¬ DM f(x)=(x-1) (2x-7) (ax2+bx+c)
E. f(x)=(x-1) (3x-2) (ax2+bx+c)
14. Give the solution of the equation
6x+50
3
x(x-1)
A, all real no. B. no solution
D. all real no except 0.
real no. except 1
is always.
If x is real, and k+6x-x negative, then the value of kis
E.
13.0
8. C 9. B 10.
15. E
12.
15.
數學科
(十七) 葉柏芳
Answers:
1 B
A
TRADITIONAL MATHEMATICS
((17)
A..K4-9
B. k=O: 0. k-2
D. K6
E. 4
7. A
13.E 14..
AA
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