Start Free Mock LoginAlready registered? Login here

Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveMedium3 minQB

PhysicsMediumsingle choice

Two tuning forks A and B produce 8 beats/s when sounded together. A gas column $37.5$ cm long in a pipe closed at one end resonates to its fundamental mode with fork A, whereas a column of length $38.5$ cm of the same gas in a similar pipe is required for resonance with fork B. The frequencies of these two tuning forks are:

Options:

Answer:

Solution:

For fork A:
$\frac{λ _{1}}{4} = 37.5$
$n_{1} = \frac{v}{4 \times 37.5}$
For fork B:
$\frac{λ _{2}}{4} = 38.5$
$n_{2} = \frac{v}{4 \times 38.5}$
$n_{1} - n_{2} = \frac{v}{4 \times 37.5} - \frac{v}{4 \times 38.5} = 8 \Rightarrow v = 8 \times 4 \times 37.5 \times 38.5$
$n_{1} = 308$ Hz
$n_{2} = 308 - 8 = 300$ Hz

Subject:PhysicsTopic:Sound WaveSubtopic:Standing wave

⏱ 3mℹ️ Source: QB

Doubts & Discussion

Loading discussions...