Superposition Principle & Standing Waves: JEE Questions & Solutions

Two loudspeakers (L₁ and L₂) are placed with a separation of 10 m, as shown in the figure. Both speakers are fed with an audio input signal…

In an open organ pipe ν₃ and ν₆ are 3rd and 6th harmonic frequencies, respectively. If ν₆ - ν₃ = 2200 Hz, then the length of the pipe is…

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed…

A closed organ and an open organ tube filled by two different gases having the same bulk modulus but different densities ρ₁ and ρ₂,…

The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y₁(x, t) = 4sin(kx - ω t) and y₂(x,…

In a closed organ pipe, the frequency of the fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that…

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If the length of the open…

Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant…

The displacement equations of two interfering waves are given by y₁ = 10 sin(ω t + π/3) cm, y₂ = 5 [sin(ω t) + √3 cos(ω t)] cm. The…

An organ pipe 40 cm long is open at both ends. The speed of sound in air is 360 m/s. The frequency of the second harmonic is:

A wire of density 8 × 10³ kg/m³ is stretched between two clamps 0.5 m apart. The extension developed in the wire is 3.2 × 10⁻⁴ m. If Y = 8…

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1:3:5 respectively. If the frequency of the fifth…

In an experiment with a sonometer, when a mass of 180 g is attached to the string, it vibrates with a fundamental frequency of 30 Hz. When…

The fundamental frequency of vibration of a string stretched between two rigid supports is 50 Hz. The mass of the string is 18 g and its…