In a resonance tube with a tuning fork of frequency 512 Hz, the first resonance occurs at water level equal to 30.3 cm, and the second resonance occurs at 63.7cm. The maximum possible error in the speed is:
Correct answer: C. 204.8 cm/sec
- A. 51.2 cm/sec
- B. 102.4 cm/sec
- C. 204.8 cm/sec
- D. 153.6 cm/sec
Explanation
The following is the solution: Calculation of the error in the speed through inputting the given information in the formula Δv=2n(Δl2-Δl1), where Δv is the uncertainty of speed, n is the frequency, and (Δl2-Δl1) represents the uncertainty in the difference of the second and first resonance.
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Physical quantities are expressed with SI base and derived units, while measurement limits are described through accuracy, precision, absolute and percentage error, and significant figures. Dimensional analysis checks equations, derives relationships and detects inconsistent units, but it cannot determine numerical constants or distinguish quantities with identical dimensions.
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