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A tuning fork A of frequency as given by the manufacturer is 512 Hz is being tested using an accurate oscillator. It is found that they produce 2 beats/s when the oscillator reads 514 Hz and 6 beats/s when it reads 510 Hz. The actual frequency of the fork in Hz is

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$508$

$512$

$516$

$518$

answer is C.

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Detailed Solution

For 1^st reading of oscillator
$f_{A} = (514 \pm 2) H z$
$f_{A} = 516 H z o r 512 H z$
For 2^nd reading of oscillator
$f_{A} = (510 \pm 6) H z$
$f_{A} = 516 H z o r 504 H z$
A has a frequency $516 H z$ .

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