A tuning fork produce 2 beats when sounded with one oscillator of frequency 514 Hz, and produces 6 beats with the other oscillator of frequency 510 Hz. The frequency of tuning fork is :

Question

A tuning fork produce 2 beats when sounded with one oscillator of frequency 514 Hz, and produces 6 beats with the other oscillator of frequency 510 Hz. The frequency of tuning fork is : (A) 516 Hz (B) 510 Hz (C) 514 Hz (D) 520 Hz

Tardigrade Admin · Accepted Answer

Tuning fork produces 2 beats with oscillator of 514 Hz. ∴ frequency of tuning fork n1 =514 ± 2 =516 or 512 Hz Similarly, n2=510 ± 6=514 or 504 Hz ∴ frequency of tuning fork =516 Hz

Q. A tuning fork produce 2 beats when sounded with one oscillator of frequency $514 Hz$ , and produces 6 beats with the other oscillator of frequency $510 Hz$ . The frequency of tuning fork is :

516 Hz

510 Hz

514 Hz

520 Hz

Tuning fork produces 2 beats with oscillator of $514 Hz$ .
$∴$ frequency of tuning fork
$n_{1} = 514 \pm 2$
$= 516$ or $512 Hz$
Similarly, $n_{2} = 510 \pm 6 = 514$ or $504 Hz$
$∴$ frequency of tuning fork $= 516 Hz$

Q. A tuning fork produce 2 beats when sounded with one oscillator of frequency 514Hz, and produces 6 beats with the other oscillator of frequency 510Hz. The frequency of tuning fork is :