Question

in ripple tank 40 waves pass through a certain point in 1 second. If wavelength of wave is 5cm then find the speed of wave​

Answer 1

The speed of the wave is equal to 2 ms⁻¹.

Given:

Number of waves passing through a certain point in 1 second = 40 waves

The wavelength of the wave (λ)= 5 cm

To Find:

The speed of the wave.

Solution:

Let the speed of the wave be 'v'.

→ The frequency of a wave is equal to the number of waves passing through a given point per unit of time. It is denoted by 'f'.

→ The wavelength of a wave is equal to the distance between two consecutive crests or two consecutive troughs. It is denoted by 'λ'.

→ The speed of a wave is equal to the product of its frequency (f) and wavelength (λ).

→ In the given question:

→ The wavelength of the wave (λ) = 5 cm = 0.05 metre

→ As 40 waves are passing through a certain point in 1 second, therefore the frequency of the wave would be equal to 40 Hz.

       ∴ Speed of the wave (v) = Frequency (f) × Wavelength (λ)

                                           ∴ v = f × (λ)

                                       ∴ v = 40 × (0.05) = 2 ms⁻¹

Therefore the speed of the wave is equal to 2 ms⁻¹.

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Answer 2

The wave speed is equal to $2$ ms⁻¹.

Answer:

Number of waves passing through a certain point in $1$second = $40$waves

The wavelength of the wave (λ)= $5$ cm

Find:

Wave speed.

Solution:

Let the speed of the wave be 'v'.

The frequency of a wave is equal to the number of waves passing through a given point per unit of time.

The wavelength of a wave is equal to the distance between two consecutive peaks or two consecutive troughs. It is denoted by 'λ'.

The speed of a wave is equal to the product of its frequency (f) and its wavelength (λ)

In the given question:

the wavelength of the wave (λ) = $5$ cm = $0.05$ meter

Since $40$ waves pass through a certain point in 1 second, the frequency of the wave would be $40$ Hz.

Wave speed(v)=frequency(f)*wavelength(λ)

Hence $v=f*$λ

Hence $v=40*0.05$

Therefore, v=$2$$ms^{-1}$

Therefore, the speed of the wave is equal to 2$ms^{-1}$.

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https://brainly.in/question/9644550

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