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 standing wave of time period T is set up in a string clamped between two rigid supports. At t = 0 antinode is at its m...A sound absorber attenuates the sound level by 20 dB. The intensity decreases by a factor of...Stationary waves are produced in 10m long stretched string. If the string vibrates in 5 segments and wave velocity 20m/s...A cylindrical tube (L = 120 cm.) is in resonance with a tuning fork of frequency 330 Hz. If it is filling by water then ...