The equation of a longitudinal standing wave due to superposition of the progressive waves produced by two sources of sound is s = -20 sin 10 πx sin 100 πt where s is the displacement from mean position measured in mm, x is in meters and t is in seconds. The specific gravity of the medium is 10 -3 . Density of water = 10 3 kg/m 3 . Find:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
f = 
= 50 Hz
k = 10 π λ = 
= 
× 100 cm = 20 cm
v = f λ = 50 × 0.2 = 10 m/s
B = ρv 2 = (10 –3 × 1000) × 10 2 = 100 N/m 2
P m = BK S o = 100 × 10π × 20 × 10 –3
= 20π N/m 2
Distance between Pressure Antinode and displacement Node is 
= 5 cm = .05 m
I = 
= 
= 20 π 2 w/m 2
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