Question

Two tuning forks produce sound of wavelength of 1.5 m and 2 m respectively in air find the ratio of their frequencies

Answer 1

f1/ f2 = lambda2 / lambda 1 ( since f = 1/ lambda )
f1 / f2 = 2/ 1.5 = 4/3

Answer 2

The ratio of their frequencies is 3:4.

Explanation:

Given that,

Wavelength of first tuning fork, $\lambda_1=1.5\ m$

Wavelength of second tuning fork, $\lambda_2=2\ m$

We need to find the ratio of frequencies of two tuning fork. We know that the speed of sound in air is given by :

$v=f\lambda$

v will be same for both tuning fork. So,

$f_1\lambda_1=f_2\lambda_2$

$\dfrac{f_1}{f_2}=\dfrac{\lambda_2}{\lambda_1}$

$\dfrac{f_1}{f_2}=\dfrac{1.5}{2}$

$\dfrac{f_1}{f_2}=\dfrac{3}{4}$

So, the ratio of their frequencies is 3:4. Hence, this is the required solution.

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Two tuning forks produce sound of wavelength of 1.5 m and 2 m respectively in air find the ratio of their frequencies .

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