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A tuning fork vibrating in water with a frequency of 840 Hz produces waves that are 2.5 m long. If a tuning fork vibrating at 500 Hz produces the same type of wave in water, what will the wavelength of the waves be?
A) 1.5 m
B) 4.2 m
C) 3.2 m
D) 2.5 m

Answer :

Answer:

Option B

Explanation:

As we know

Frequency (F) * wavelength (W) = C (speed of light - can also be taken as constant)

Hence,

[tex]F1 W1 = C\\F2W2 = C[/tex]

Or [tex]F1W1 = F2W2[/tex]

Substituting the given values, we get -

[tex]840 *2.5 = 500 *XX = 4.2[/tex] m

Hence, option B is correct

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