The phase difference between the prongs of a tuning fork is :

1.  $2\mathrm{\pi }$

2.  $3\mathrm{\pi }$

3.  $\mathrm{\pi }$

4.  $5\mathrm{\pi }$

In a stationary wave along a string, the strain is:

1.  zero at the antinodes

2.  maximum at the antinodes

3.  zero at the nodes

4.  maximum at the nodes

The equation of a standing wave in a string is $\mathrm{y}=\left(\mathrm{200 }\mathrm{m}\right)\sin \frac{2\mathrm{\pi }}{50}\mathrm{x\; cos}\frac{2\mathrm{\pi }}{0.01}\mathrm{t}$ where x is in meters and t is in seconds. At the position of antinode, how many times does the distance of a string particle become 200 m from its mean position in one second?

Consecutive frequencies emitted from an organ pipe are 75Hz, 125Hz, 175Hz.  The frequency of the tenth overtone will be:

The third overtone of a closed pipe is observed to be in unison with the second overtone of an open pipe. The ratio of the lengths of the pipes is:

The two nearest harmonics of a tube close at one end and open at the other end are 220Hz and 260Hz. What is the fundamental frequency of the system?

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

(1) L         

(2) 2L

(3) L/2     

(4) 4L

An air column, closed at one end and open at the other, resonates with a running fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tunning fork is

(1) 1OO cm

(2) 150 cm

(3) 200 cm

(4) 66.7cm 

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for these strings is:

The number of possible natural oscillations of the air column in a pipe closed at one end of a length of 85 cm whose frequencies lie below 1250 Hz is: (velocity of sound 340ms^-1)