Question:

An accurate and reliable audio oscillator is used to standardize a tuning fork marked as 512 Hz. When the oscillator reading is 514 two beats are heard per second. When the oscillator reading is 510, the beat frequency is 6 Hz. The frequency of the tuning fork is:

Updated On: Jun 2, 2024
  • 518
  • 516
  • 506
  • 510
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The Correct Option is B

Solution and Explanation

When a tuning fork is marked as 512 Hz, oscillator reading is 514. 
The beat are heard, so the frequency of the tuning fork is \(514\,\pm \,2\,=516\) or 512. When the oscillator reading is obtained as 510 Hz. 
The frequency of tuning fork is \(510\,\pm \,6=516\) or 504. 
The common value is 516 Hz. 
Therefore the frequency of tuning fork is 516 Hz.
So, the correct option is B: 516.
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Concepts Used:

Waves

Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.

Types of Waves:

Transverse Waves -

Waves in which the medium moves at right angles to the direction of the wave.

Examples of transverse waves:

  • Water waves (ripples of gravity waves, not sound through water)
  • Light waves
  • S-wave earthquake waves
  • Stringed instruments
  • Torsion wave

The high point of a transverse wave is a crest. The low part is a trough.

Longitudinal Wave -

A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.

Examples of longitudinal waves:

  • Sound waves
  • P-type earthquake waves
  • Compression wave