For superposition of two waves, the following is correct

Question

For superposition of two waves, the following is correct (A) They must have the same frequency and wavelength (B) they must have equal frequencies but may have unequal wavelengths (C) they must have the same wavelength but may have different frequencies (D) they may have different wavelength and different frequencies

Tardigrade Admin · Accepted Answer

Principle of superposition states that the displacement of two waves

y_{1} = f_{1} (t - \frac{x}{v})

and

y_{2} = f_{2} (t + \frac{x}{v})

is

y = y_{1} + y_{2}

Wavelength and frequency depend on the function

f_{1}

and

f_{2}

∴

They can have any wavelength and any frequency

Q. For superposition of two waves, the following is correct

They must have the same frequency and wavelength

they must have equal frequencies but may have unequal wavelengths

they must have the same wavelength but may have different frequencies

they may have different wavelength and different frequencies

Principle of superposition states that the displacement of two waves y1​=f1​(t−vx​) and y2​=f2​(t+vx​) is y=y1​+y2​ Wavelength and frequency depend on the function f1​ and f2​ ∴ They can have any wavelength and any frequency

Principle of superposition states that the displacement of two waves
$y_{1} = f_{1} (t - \frac{x}{v})$ and $y_{2} = f_{2} (t + \frac{x}{v})$ is $y = y_{1} + y_{2}$
Wavelength and frequency depend on the function $f_{1}$ and $f_{2}$
$∴$ They can have any wavelength and any frequency