Question

Two closed organ pipe gives 4 beats when sounded together at 5°C. Calculate the number of beats in 35°C​

Answer 1

The number of beats is 10.58 in 35°C.

Step-by-step explanation:

The beat frequency is given by : f₁-f₂

At 5°C, f₁-f₂ = 4

We need to find the number of beats in 35°C​.

The frequency in a standing wave is proportional to
`\sqrt T`.

So,

`(f_1-f_2)/(f_1'-f_2')=\frac{\sqrt {T}}{√(T')}\\\\f_1'-f_2'=(f_1-f_2)* (√(T'))/(√(T))\\\\f_1'-f_2'=4* (√(35))/(√(5))\\\\f_1'-f_2'=10.58`

So, the number of beats is 10.58 in 35°C.