Govt. Exams
At equidistant points, path difference = 0, hence phase difference = 0°. This leads to constructive interference
Using Doppler formula: f' = f(v + v_observer)/v = 500(340 + 20)/340 = 529.4 Hz
Beat frequency = |f₁ - f₂| = 4 Hz only when waves overlap in the same region of space
Distance between two consecutive nodes = λ/2. If nodes are at 0 and 2 m, then λ/2 = 2, so λ = 4 m
For 4 antinodes (loops), there are 3 internal nodes. Pattern: node-antinode-node-antinode-node-antinode-node-antinode-node
During refraction, frequency remains constant as it depends on the source. Wavelength and velocity change due to change in medium properties
Intensity I ∝ A²f² (or I ∝ A²ω²), both amplitude and frequency squared affect intensity
Phase difference = k(x₂ - x₁) = (π/2)(3 - 1) = (π/2)(2) = π
At a fixed end, the reflected wave undergoes a phase change of 180° (or π radians) due to the fixed boundary condition
In a pipe closed at one end, only odd harmonics are produced: f, 3f, 5f, etc. Next higher = 3 × 200 = 600 Hz
