Sound WavesHard
Question
Two identical straight wire are stretched so as to produce 6 beats/s when vibrating simul-taneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by T1, T2 the higher and the lower initial tension in the strings, then it could be said that while making the above change in tension
Options
A.T2 was dcreases
B.T2 was increased
C.T1 was decreased
D.T1 was increased
Solution
T1 > T2
∴ v1 > v2
or f1 > f2
and f1 - f2 = 6Hz
Now, if T1 is increased, f1 will increase or f1 - f2 will increase. Therefore, (d) is wrong. If T1 is decrease, f1 will decrease and it may be possible that now f1 - f2 becomes 6 Hz. Therefore (c) option is correct.
Similarly, when T1 is increased, f1 will increase and again f1 - f2 become 6 Hz. So (b) is also correct. But (a) is wrong.
∴ v1 > v2
or f1 > f2
and f1 - f2 = 6Hz
Now, if T1 is increased, f1 will increase or f1 - f2 will increase. Therefore, (d) is wrong. If T1 is decrease, f1 will decrease and it may be possible that now f1 - f2 becomes 6 Hz. Therefore (c) option is correct.
Similarly, when T1 is increased, f1 will increase and again f1 - f2 become 6 Hz. So (b) is also correct. But (a) is wrong.
Create a free account to view solution
View Solution FreeMore Sound Waves Questions
A string of length L is stretched along the x-axis and is rigidly clamped at its two ends. It undergoes transverse vibra...If the time period of oscillation of mass m suspended from a spring is 2sec, the time period of mass 4m will be:...Two vibrating tuning forks produce progressive waves given by y1 = 4 sin 500πt and y2 = 2 sin 506 πt. Number o...A copper wire is fixed between two rigid supports. It is stretched with negligible tension at 30oC. The speed of transve...Two tuning forks A and B lying on opposite of observer ′O′ and of natural frequency 85 Hz move with velocity...