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Waves Part 1

Section: Physics

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Question : 24 of 100

Marks: +1, -0

A tuning fork

A

of unknown frequency produces 5 beats/s with a fork of known frequency

340\text{ Hz}

A

is filled, the beat frequency decreases to 2 beats\/s. What is the frequency of fork

A

[26 Feb 2021 Shift 2]

$342\text{ Hz}$
$345\text{ Hz}$
$335\text{ Hz}$
$338\text{ Hz}$

Solution:

Given,

f=340\text{ Hz}

Let beat frequency of tuning fork

A

is

f_{A}

and

f_{A}^{'}

be the frequency of tuning fork

A

after filling.

In first case, beat frequency

=5

\Rightarrow\;f_{A}=340\pm5

\Rightarrow\;f_{A}=345\;\text{Hz}\;\text{ or }\;335\;\text{Hz}

After filling tuning fork

A, f_{A}^{'}=340\pm2

\Rightarrow\;\;f_{A}^{'}=342\;\text{ or }\;338\;\text{Hz}

As on filling, frequency of

A

increases.

Hence, original frequency of tuning fork

A

is

335\text{ Hz}

.

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