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Grade upto college level Wave Motion

In a resonance column experiment, a tuning fork of frequency 400 Hz is used. The first resonance is observed when the air column has a length of 20.0 cm and the second resonance is observed when the air column has a length of 62.0 cm. (a) Find the speed of sound in air. (b) How much distance above the open end does the pressure node form?

Profile image of Amit Saxena
12 Years agoGrade upto college level
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1 Answer

Profile image of Navjyot Kalra
12 Years ago
Sol. Length of the wire = 1.0 m For fundamental frequency λ/2 = l ⇒ λ = 2l = 2 * 1 = 2 m Here given n = 3.8 km/s = 3800 m/s We know ⇒ v = nλ⇒ n = 3800 / 2 = 1.9 kH. So standing frequency between 20 Hz and 20 kHz which will be heard are = n × 1.9 kHz where n = 0, 1, 2, 3, … 10.