Question

The velocity of sound in a gas in which two wavelengths 4.08m and 4.16m produce 40 beats in 12s, will be ______.

Options

• 2.828 ms^-1

• 175.5 ms^-1

• 353.6 ms^-1

• 707.2 ms^-1

Answer 1

The velocity of sound in a gas in which two wavelengths 4.08m and 4.16m produce 40 beats in 12s, will be 707.2 ms^-1.

Explanation:

Beat frequency = f₁ - f₂

`40/12 = ν/4.08 - ν/4.16`

⇒ `10/3 = ν(0.08/(4.08 xx 4.16))` ⇒ ν = 707.2 m/s