In a medium in which a transverse progressive wave is travelling, the phase difference between two points with a separation of $1.25 cm$ is $(π / 4)$ . If the frequency of wave is $1000 Hz$ , its velocity in $m/s$ will be

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Solution

$Δ ϕ = \frac{2 π}{λ} Δ x$
$\frac{π}{4} = \frac{2 π}{λ} \times \frac{1.25}{100}$
On solving, we get
$λ = \frac{1}{10} m$
$v = n λ = 1000 \times \frac{1}{10} = 100 m/s$

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In a medium in which a transverse progressive wave is travelling, the phase difference between two points with a separation of 1.25 cm is (π/4). If the frequency of wave is 1000 Hz, its velocity in m/s will be

Δϕ=2πλΔx π4=2πλ×1.25100 On solving, we get λ=110 m v=nλ=1000×110=100 m/s

In a medium in which a transverse progressive wave is travelling, the phase difference between two points with a separation of $1.25 cm$ is $(π / 4)$ . If the frequency of wave is $1000 Hz$ , its velocity in $m/s$ will be

$Δ ϕ = \frac{2 π}{λ} Δ x$
$\frac{π}{4} = \frac{2 π}{λ} \times \frac{1.25}{100}$
On solving, we get
$λ = \frac{1}{10} m$
$v = n λ = 1000 \times \frac{1}{10} = 100 m/s$