A standing wave having 3 nodes and 2 antinode is formed between two atoms having a distance 1.21   between them,  The wavelength of the standing wave is

A transverse wave propagating along x-axis is represented by 

Where x is in metre and t is in second.  The speed of the wave is

A stretched string resonates with tuning fork freuency 512 Hz when length of the string is 0.5 m.  The length of the string required to vibrate resonantly with a tuning fork of frequency 256 Hz would be 

A wave of amplitude a =0.2 m, velocity v = 360 m/s and wavelength 60 m is travelling along position x-axis , then the correct expression for the wave is

Two strings A and B have lengths l_A and l_B and carry masses M_A and M_B at their lower ends, the upper ends being supported by rigid supports.  If n_A and n_B are the frequencies of their vibrations and n_A = 2n_B, then

A wave of frequency 100 Hz is sent along a string towards a fixed end.  When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string.  The speed of incident (and reflected ) wave are

A sonometer wire when vibrated in full lentgth has frequency n.  Now it is divided by the help of bridges into a number of segments of lengths   l_1, l₂, l₃,........When vibrated these segments have frequencies    n₁, n₂, n₃,.........then the correct relation is

Equations of two progressive waves are given by 

If amplitude and time period of resultant wave are same as that of both the waves, then 

With the propagation of a longitudinal wave through a material medium, the quantities transmitted in the propagation direction are

A cylindrical reasonance tube open at both ends, has a fundamental frequency f, in air.  If half of the length is dipped vertically in water, the fudamental frequency of the air column will be