Answer:
The number of beats is 10.58 in 35°C.
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 [tex]\sqrt T[/tex].
So,
[tex]\dfrac{f_1-f_2}{f_1'-f_2'}=\dfrac{\sqrt {T}}{\sqrt{T'}}\\\\f_1'-f_2'=(f_1-f_2)\times \dfrac{\sqrt{T'}}{\sqrt{T}}\\\\f_1'-f_2'=4\times \dfrac{\sqrt{35}}{\sqrt{5}}\\\\f_1'-f_2'=10.58[/tex]
So, the number of beats is 10.58 in 35°C.
