A couple of tuning forks produces 2 beats in the time interval of 0.4 seconds. So the beat frequency is :

(1) 8 Hz

(2) 5 Hz

(3) 2 Hz

(4) 10 Hz

It is possible to hear beats from the two vibrating sources of frequency :

(1) 100 Hz and 150 Hz

(2) 20 Hz and 25 Hz

(3) 400 Hz and 500 Hz

(4) 1000 Hz and 1500 Hz

Two sound waves of wavelengths 5m and 6m formed 30 beats in 3 seconds. The velocity of sound is :

(1) 300 ms^–1

(2) 310 ms^–1

(3) 320 ms^–1

(4) 330 ms^–1

Two sound sources when sounded simultaneously produce four beats in 0.25 seconds. The difference in their frequencies must be :

(1) 4

(2) 8

(3) 16

(4) 1

Two strings X and Y of a sitar produce a beat frequency 4 Hz. When the tension of the string Y is slightly increased the beat frequency is found to be 2 Hz. If the frequency of X is 300 Hz, then the original frequency of Y was :

(1) 296 Hz

(2) 298 Hz

(3) 302 Hz

(4) 304 Hz

Two vibrating tuning forks produce progressive waves given by $Y_1=4\sin 500\pi t$ and $Y_2=2\sin 506\pi t.$ Number of beats produced per minute is :

(1) 360

(2) 180

(3) 3

(4) 60

The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency :

(1) 10 Hz

(2) 360 Hz

(3) 216 Hz

(4) 6 Hz

The distance between the nearest node and antinode in a stationary wave is :

(1) λ

(2) $\frac{\lambda }{2}$

(3) $\frac{\lambda }{4}$

(4) 2λ

For the stationary wave $y=4\sin \left(\frac{{\displaystyle \pi x}}{{\displaystyle 15}}\right)\cos \left(96\pi t\right)$, the distance between a node and the next antinode is :

1. 7.5

2. 15

3. 22.5

4. 30