Advertisement Remove all ads

Find the Velocity of Sound in the Air and Frequency of the Tuning Fork - Physics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Wavelengths of two notes in the air are`[70/153]^m` and `[70/157]^m`. Each of  these notes produces 8 beats per second with a tuning fork of fixed frequency. Find the velocity of sound in the air and frequency of the tuning fork.

Advertisement Remove all ads

Solution

Let the wavelength of the tuning fork be L

∴ f = c/L

given,

c/(70/157) - c/L = 8

∴ 157c/70 - c/L = 8 ... (1)

and,

c/L - c/(70/153) = 8

∴ c/L - 153c/70 = 8 ... (2)

adding 1 and 2

(157c - 153c)/70 = 16

∴ 4c = 1120

∴ c = 280 m/s

as f = c/L

∴ f = 280/L

substituting in (1)

157 × 280/70 - f = 8

f = 628 - 8

∴ f = 620Hz

Concept: Beats
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×