Waves

A sine wave is travelling in a medium. The minimum distance between the two particles, always having same speed, is

Two sources of sound emitting sound of nearly equal wavelengths λ₁ and λ₂ are fixed at A and B respectively. A listener moves with velocity u on the perpendicular bisector of line joining A and B. Then the number of beats heard by him per second when it is at distance 2l from A and B, is (Speed of sound = C)

A sound wave of frequency 245 Hz travels with the speed of 300 ms⁻¹ along the positive x-axis. Each point of the wave moves to and for through a total distance of 6 cm. What will be the mathematical expression of this traveling wave?

Assume that the displacement (s) of air is proportional to the pressure difference (Ap) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air ( ρ ) and the frequency (f). If Ap ~ 10 Pa, v ~ 300 m/s, p ~ π11g/m³ and f ~ 1000 Hz, then s will be of the order of (take the multiplicative constant to be 1)

For a transverse wave traveling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m ) of the waves are:

Two identical strings X and Z made of same material have tension Tₓ and T₂ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio Tₓ/Tz is:

A closed-organ pipe of length L and an open pipe contain gases of densities ρ? and ρ? respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is (3/x) L √(ρ?/ρ?) where x is ---. (Round off to the Nearest Integer)

A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?