Speed of sound in a resonance tube experiment is given by the expression v = 2f0(l2 – l1) where f? is the frequency of the tuning fork and l1, l2 are length of the air column. Consider f0 = 300 Hz with no error in its value. Lengths of the air column l1 and l2 are measured as 25.0 cm and 80.0 cm respectively. Find the absolute error in the speed of sound (in m/s).
Speed of sound in a resonance tube experiment is given by the expression v = 2f0(l2 – l1) where f? is the frequency of the tuning fork and l1, l2 are length of the air column. Consider f0 = 300 Hz with no error in its value. Lengths of the air column l1 and l2 are measured as 25.0 cm and 80.0 cm respectively. Find the absolute error in the speed of sound (in m/s).
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1 Answer
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Δν = 2f? (Δl? + Δl? ) = 2 × 300 (0.1 + 0.1) × 10? ² = 1.2 m/s
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