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Standard X

Physics

Resonance in Sound Waves

In resonance ...

Question

In resonance column experiment, the velocity of sound is given by $v = 2 n (l_{2} - l_{1})$ . Where n is frequency=325 Hz measured accurately. $l_{1}, l_{2}$ are resonating length and are measured as $l_{1} = 25.0 c m, l_{2} = 75.0 c m$ then speed of sound is

350 m / s

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327 m / s

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325 m / s

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400 m / s

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Solution

The correct option is C $325 m / s$
$\begin{matrix} (l_{2} - l_{1}) = \frac{λ}{2} \Rightarrow λ = 2 (l_{2} - l_{1}) ∴ v = f λ = 325 \times \frac{2 (75 - 25)}{100} = 325 \times 1 = 325 m / s \end{matrix}$
Hence,
option $(C)$ is correct answer.

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Similar questions

Q. In resonance tube experiment, the velocity of sound is given by

v = 2 f_{0} (l_{1} - l_{1}) .

We found

l_{1} = 25.0 c m

and

l_{2} = 75.0 c m

. If there is no error in frequency, what will be the maximum permissible error in the speed of sound?

(T a k e f_{0} = 325 H z)

In a resonance - column experiment to measure the velocity of sound, the first resonance is obtained at a length $l_{1}$ and the second resonance at a length $l_{2}$ . Which of the following is (are) correct?

Q. A tuning fork of frequency

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(v)

in air by resonance tube method. resonance is observed to occur at two successive lengths of the air column,

l_{1} = 30 c m

and

l_{2} = 70 c m

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Q. In a resonant column method, resonance occurs at two successive levels of

l_{1} = 30.7 c m

and

l_{2} = 63.2 c m

using a tuning fork of

f = 512 H z

. What is the maximum error in measuring speed of sound using the relations

v = f λ

and

λ = 2 (l_{2} - l_{1})

Q. In resonance tube experiment we find

l_{1} = 25 cm and l_{2} = 75 cm

. The least count of the scale used to measure

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0.1 cm

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)

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In resonance column experiment, the velocity of sound is given by v=2n(l2−l1). Where n is frequency=325 Hz measured accurately. l1,l2 are resonating length and are measured as l1=25.0cm,l2=75.0cm then speed of sound is

The correct option is C 325m/s(l2−l1)=λ2⇒λ=2(l2−l1)∴v=fλ=325×2(75−25)100=325×1=325m/sHence,option (C) is correct answer.

In resonance column experiment, the velocity of sound is given by $v = 2 n (l_{2} - l_{1})$ . Where n is frequency=325 Hz measured accurately. $l_{1}, l_{2}$ are resonating length and are measured as $l_{1} = 25.0 c m, l_{2} = 75.0 c m$ then speed of sound is

The correct option is C $325 m / s$
$\begin{matrix} (l_{2} - l_{1}) = \frac{λ}{2} \Rightarrow λ = 2 (l_{2} - l_{1}) ∴ v = f λ = 325 \times \frac{2 (75 - 25)}{100} = 325 \times 1 = 325 m / s \end{matrix}$
Hence,
option $(C)$ is correct answer.