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Home » A tuning fork vibrating with a frequency of 512 Hz is kept close to the open end of a tube filled with water. The water level in the tube is gradually lowered. When the water level is 17 cm below the open end, the maximum intensity of sound is heard. If the room temperature is 20oC, calculate
A tuning fork vibrating with a frequency of 512 Hz is kept close to the open end of a tube filled with water. The water level in the tube is gradually lowered. When the water level is 17 cm below the open end, the maximum intensity of sound is heard. If the room temperature is 20oC, calculate
CBSE | Class 11 | NCERT Exemplar | Physics | Waves
A tuning fork vibrating with a frequency of 512 Hz is kept close to the open end of a tube filled with water. The water level in the tube is gradually lowered. When the water level is 17 cm below the open end, the maximum intensity of sound is heard. If the room temperature is 20oC, calculate

a) speed of sound in air at room temperature

b) speed of sound in air at 0oC

Answer:

According to the question, the frequency of the tuning fork is

f = 512 Hz

a)  When the first maxima are taken into account, the air column length is l = λ/4

or, λ = 4l

We know that the speed of sound is

v = f λ

v = 348.16 m/s

b) It is known that,

v\alpha \sqrt{T}

\frac{v}{{{v}_{0}}}=\sqrt{\frac{273+20}{273+0}}=\sqrt{\frac{293}{273}}

{{v}_{0}}=338m/s

 

 

i

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