

EXAMINATION PAPERS. 
287 



(b) Given that

is tuned to have a frequency of 263, 

(& 
and 
^{ot}i 
jCC 

so found, calculate those of 



Ana.—(a) See p. 51. 



a 2367 D = 263 X g = g" = 295£
3 789 G = 263 X o = 5 = ^{394}i 



A = 263 X ? = a^{1} = ^{438}i 



W 
A = 394£ X J = 
7101 
7101
jr = 443U 16 i& 

2X8
789 X 3 




D' z= 394£ X g = f— = T = 591 



4. (a) Explain the production of beats, (b) Suppose a set of forks to be tuned to philosophic pitch in which C = 256; and that a fork mistuned to 260 vibrations per second is procured. How many beats per second will the mistuned fork make (1) when sounded only with C = 256; (2) when sounded with 4C s= 264; and (3) wheD sounded with CI = 512 ?
Am.—(a) See pp. 144, 145, 146.
(J) (1) 260 — 256 = 4 beats per second.
(2) 264260= 4 „
(3) 512 — 260 = 252 Differential.
260 — 252 = 8 beats per second.
5. (a) Enunciate the laws which govern the frequency of vibration of a stretched string ; (b) and point out how these laws come in, in the construction, tuning, and playing a violin.
Am.—(a) See p. 87.
(b) See pp. 88, 89, and 90. 


