The fundamental frequency of a closed pipe is 220 Hz. If 1/4 of the pipe is filled with water, the frequency of the first overtone of the pipe now is

An organ pipe P1 closed at one vibrating in its first overtone and another pipe P2 open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is

A second harmonic has to be generated in a string of length l stretched between two rigid supports. The point where the string has to be plucked and touched are

A source of sound gives five beats per second when sounded with another source of frequency 100 s–1. The second harmonic of the source together with a source of frequency 205 s–1 gives five beats per second. What is the frequency of the source ?

Ten tuning forks are arranged in increasing orderof frequency in such a way that any two nearest tuning forks produce 4 beats/sec. The highest frequency is twice of the lowest. Possible highest and the lowest frequencies are

Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio

In the given progressive wave equation y = 0.5 sin (10πt – 5x); where x, y in cm and t in second. The maximum velocity of the particle is

A transverse wave is represented by the equation

\[ y= y_{0} sin\frac{2\Pi}{\lambda}(vt-x)\] 

For what value of λ , the maximum particle velocity equal to two times the wave velocity

The path difference between the two waves

\[ y_{1}= a_{1} sin \left( \omega t -\frac{2\Pi x}{\lambda} \right) \]

and

\[ y_{2}= a_{2} cos \left( \omega t -\frac{2\Pi x}{\lambda} + \varphi \right) \]

is

Instantaneous profile of a rope carrying a progressive wave moving from left to right is shown. Find the correct option