## Question

A tuning fork produces 4 beats per second when sounded with a sonometer of vibrating length 48 cm. It produces 4 beats per second also when the vibrating length is 50 cm. What is the frequency of the tuning fork?

### Solution

196 Hz

Let *V*_{1} be the frequency of the wire when its vibrating length is *L*_{1} = 48 cm and *V*_{2} when *L*_{2} = 50 cm. Since If *V* is the frequency of the tuning fork, then

Which gives *V* = 196 Hz.

#### SIMILAR QUESTIONS

A dog while barking delivers about 1 *mW* of power. If this power is uniformly distributed over a hemispherical area, what is the sound level at a distance of 5 m? What would the sound level be if instead of 1 dog, 5 dogs start barking at the same time each delivering 1 *mW* of power?

An observer is at a distance of one metre from a point light source whose power output is 1 kW. Calculate the magnitude of electric and magnetic fields assuming that the source is monochromatic, it radiates uniformly in all directions and that at the point of observation it behaves like a travelling plane wave. Given that *H/m* and

A wave pulse starts propagating in +*x*-direction along a non-uniform wire of length 10 m with mass per unit length given *m* = *m*_{0} + α*x* and under a tension of 100 *N*. Find the time taken by the pulse to travel from the lighter end (*x* = 0) to the heavier end. (*m*_{0} = 10^{–2} *kg/m* and α = 9 × 10^{–3} *kg/m*^{2})

Decibel is:

The variation of the speed of sound with temperature is greatest in:

The speed of sound in hydrogen at STP is *v*. The speed of sound in a mixture containing 3 parts of hydrogen and 2 parts of oxygen at STP will be

The speed of sound in hydrogen at STP is *v*. What is the speed of sound in helium at STP?

Nine tuning forks are arranged in order of increasing frequency. Each tuning fork produces 4 beats per second when sounded with either of its neighbours. If the frequency of the 9^{th} tuning fork is twice that of the first, what is the frequency of the first tuning fork?

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1: 2: 3. What is the ratio of their fundamental frequencies?

Two identical strings of a stringed musical instrument are in unison when stretched with the same tension. When the tension in one string is increased by 1%, the musician hears 4 beats per second. What was the frequency of the note when the strings were in unison?