Problems On Wavelength and Frequency Formula

Problem 1: Find the wavelength of a wave traveling at 10 m/s at a frequency of 5 Hz?

Solution:

Given,

• Speed = 10 m/s
• Frequency = 5 Hz

Using Formula, λ = c/f

= 10 / 5

= 2 m

Thus, the wavelength is 2 m.

Problem 2: Find the wavelength of a wave traveling at 60 m/s at a frequency of 12 Hz?

Solution:

Using Formula, λ = c/f

= 60 / 12

= 5 m

Problem 3: Find the wavelength of a wave traveling at 100 m/s at a frequency of 11 Hz?

Solution:

Using Formula, λ = c/f

= 100 / 11

= 9.09 m

Problem 4: What is the frequency of light with a speed of 2.998 × 10⁸ ms^-1 and a wavelength of 400 nm?

Solution:

Using Formula, f = λ/c

= 2.998 x 10⁸ ms^-1 /  400 x 10 ^-9 m

= 7.50 x 10¹⁴ Hz

Problem 5: A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?

Solution:

Using Formula, c = λ × f

= 50 × 10

= 500 m/s

Thus the speed is 500 m/s.

Wavelength is the distance between two wave crests, and it will be the same for troughs and the frequency is the number of vibrations that pass over a given spot in one second, and it is measured in cycles per second (Hz) (Hertz). 

In this article, we will learn about, Wavelength Definition, Wavelength Formula, Frequency Definition, Frequency Formula. Difference between Wavelength and Frequency and others in detail.

The relation between wavelength and frequency is discussed in this article. Waves have a variety of features that can be used to define them. Two such properties are wavelength and frequency. As we’ll see below, the link between wavelength and frequency is that the frequency of a wave multiplied by its wavelength yields the wave’s speed.