The **distance **a speaker should be placed behind other **sound **to have an **amplitude **1.50 times is 4.523 m.

<h3>What is wavelength?</h3>

The **wavelength **is the distance between the** adjacent crest or trough** of the **sinusoidal wave.** The **wavelength** is the reciprocal of the **frequency **of the wave.

**Wavelength **λ = v/f

Two in-phase **loudspeakers **emit identical 1000 Hz **sound waves** along the x-axis.

λ = 343 m/s /1000 Hz

λ = 0.343 m

**Distance**, one should speaker be placed behind the other for the **sound **to have an **amplitude **1.50 times that of each **speaker **alone.

The **amplitude** of the **waveform **due to **waves**,

A = 2a cos (ΔΦ/2)

ΔΦ = 2π x Δx/λ

So, A = 2a cos (π x Δx/λ)

Substitute the values, we get

1.5a = 2a cos (3.14 x Δx/ 0.343)

Δx = 4.523 m

Thus, the **distance **is 4.523 m.

Learn more about **wavelength**.

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