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Question

In a resonance tube experiment when the tube is filled with water up to a height of 17.0cm from the bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5cm. If the velocity of sound in air is 330m/s, the tuning fork frequency is:


A

2200Hz

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B

550Hz

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C

3300Hz

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D

1100Hz

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Solution

The correct option is A

2200Hz


Step 1: Given terms

First resonance height, l1=17cm

Second resonance height, l2=24.5cm

Velocity of sound in air = v=330ms-1

Step 2: Formula

The velocity of sound is given as v=2f(l1-l2)

Step 3: Calculation

On substituting the given values in the formula, we get:

330=2f(24.5-17)×10-2

165=f×7.5×10-2

f=165×1007.5

f=2200Hz

Therefore, the tuning fork frequency is 2200Hz.

Hence, option A is the correct answer.


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