An open organ pipe of length is in unison with an identical pipe at

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

An open organ pipe of length 0.85 m0.85\,\text{m} is in unison with an identical pipe at 20∘C20^{\circ}\text{C}. The speed of sound in air varies with temperature according to v=332+0.6Tv = 332 + 0.6T (in m/s, TT in ∘C^{\circ}\text{C}). If the temperature of one pipe is raised to 30∘C30^{\circ}\text{C} while the other remains at 20∘C20^{\circ}\text{C}, calculate the time interval between successive amplitude maxima of the beats produced when both pipes sound their fundamental notes. (a) 0.14 s0.14\,\text{s} (b) 0.28 s0.28\,\text{s} (c) 0.57 s0.57\,\text{s} (d) 0.20 s0.20\,\text{s}

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