Sound WavesHard
Question
The equation of displacement of two waves are given as
y1 = 10 sin
y2 = 5(sin 3 πt + √3 cos 3πt)
Then the ratio of their amplitude will be:
y1 = 10 sin
y2 = 5(sin 3 πt + √3 cos 3πt)
Then the ratio of their amplitude will be:
Options
A.2 : 1
B.1 : 1
C.1 : 2
D.none of these
Solution
y2 = 5(sin 3πt + √3 cos 3πt)
= 10(
sin 3πt + 
cos 3πt)
= 10
sin 3πt. cos 
+ cos 3πt. sin
= 10
Now, amplitude of Ist wave = 10
Amplitude of second wave = 10
ratio = 1 : 1
= 10(
sin 3πt + cos 3πt)= 10
sin 3πt. cos + cos 3πt. sin= 10
Now, amplitude of Ist wave = 10
Amplitude of second wave = 10
ratio = 1 : 1
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
A tuning fork of frequency 512 hZ makes 4 beats per second with the vibrating string per sec when the tension in the pia...A sound absurder attenuates the sound level by 20dB. The intensity decreases by a factor of...A tuning fork of frequency 240 Hz vibrates at one end of the tube shown in the figure. If sound is not heard at other en...The frequency of oscillator of the springs as shown in figure will be...A sound waves is travelling towards right and its S-t graph is as shown for x = 0.Choose CORRECT matching of the graphs ...