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  • An experiment is conducted to measure the speed of sound in air using a resonance tube. The experiment is performed by adjusting the water level in the resonance tube until the first

An experiment is conducted to measure the speed of sound in air using a
resonance tube. The experiment is performed by adjusting the water level
in the resonance tube until the first resonance is observed. The frequency
of the tuning fork used is 512 Hz, and the first resonance occurs when the
water level is at a height of 20 cm from the bottom of the tube. Calculate
the speed of sound in air using this information.

Option: 1

210 m/s


Option: 2

230 m/s


Option: 3

204.8 m/s


Option: 4

215 m/s


Answers (1)

best_answer

Given values:
• Frequency of tuning fork (f) = 512 Hz
• Height of water column (h) = 20 cm
In a resonance tube experiment, the length of the air column (L) that
produces resonance is related to the speed of sound (v) and the frequency
(f) by the equation:

v = 2Lf

Step 1: Calculate the speed of sound (v) using the given frequency and
height of water column:

v=2 \times 0.20 \mathrm{~m} \times 512 \mathrm{~Hz}

Step 2: Calculate v:

v = 204.8 m/s
The speed of sound in air is 204.8 m/s.

Conclusion
The speed of sound in air is calculated to be 204.8 m/s.
So, the correct option is C

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