Question

A source of frequency f sends waves of wavelength λ traveling with speed v in some medium. If the frequency is changed from f to 2f, then the new wavelength and new speed are (respectively): Question 1 options:

Answer 1

Answer:

Explanation:

The speed will remain unchanged because speed does not depend upon frequency .

So new speed = v

wavelength x frequency = speed

For frequency = 2 f

wavelength = speed / frequency

= v / 2f

So new wavelength = v / 2f .

Answer 2

1. The new wavelength is equal to $\frac{\lambda}{2}$.

2. The new speed is equal to v.

Given the following data:

• Wavelength = λ

• Speed = v

• Initial frequency = f

• Final frequency = 2f

To determine the new wavelength and new speed are:

Mathematically, the speed of a waveform is calculated by using the formula;

$v = \lambda f$

Where:

• $\lambda$ is the wavelength of a wave.

• v is the speed of a wave.

• f is the frequency of a wave.

Ideally, the speed of a wave doesn't change when the frequency provided they are both in the same medium.

However, the wavelength would change when frequency changes.

Therefore, the new speed = v.

For new wavelength:

$v = \lambda f=\frac{\lambda}{2} (2f)$

New wavelength = $\frac{\lambda}{2}$

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