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  • An experiment is conducted to determine the speed of sound  in air using a resonance column. The column is filled

An experiment is conducted to determine the speed of sound (v) in air using a resonance column. The column is filled with a known liquid, and a tuning fork of known frequency (f) is used. The first resonance occurs at a column height (h) of 25\ cm, and the second resonance occurs at 75\ cm. Calculate the speed of sound in air.

Option: 1

100\ m/s


Option: 2

235\ m/s


Option: 3

169\ m/s


Option: 4

128\ m/s


Answers (1)

best_answer

Given values:
• Frequency of tuning fork (f)=256\ Hz
• First resonance height (h_1)=25\ cm
• Second resonance height (h_2)=75\ cm

The speed of sound (v) can be calculated using the formula for the funda-
mental frequency of an open-open resonance column:

v=2 h_1 f

Step 1: Calculate the speed of sound (v) using the first resonance height and
frequency:

v=2 \times 25 \mathrm{~cm} \times 256 \mathrm{~Hz}

Step 2: Calculate v:

v=12800\ cm/s
The speed of sound in air is 12800\ cm/s.
Step 3: Convert the speed of sound tom/s.
v=128\ m/s
The speed of sound in air is 128\ m/s.
Therefore, the correct option is (D).

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