Which equations are used to calculate the velocity of a wave?

A. velocity = distance [tex]\(\times\)[/tex] time
B. velocity = wavelength [tex]\(\times\)[/tex] frequency
C. velocity = distance / time
D. velocity = wavelength / frequency



Answer :

Sure, I can explain this in detail!

When calculating the velocity of a wave, there are specific equations that are commonly used. These equations relate different physical quantities involved in wave motion.

1. Equation 1:
- The first equation states that velocity is the ratio of distance traveled over time taken. This can be mathematically represented as:
[tex]\[ \text{velocity} = \frac{\text{distance}}{\text{time}} \][/tex]

2. Equation 2:
- The second equation relates the velocity of a wave to its wavelength and frequency. This can be mathematically represented as:
[tex]\[ \text{velocity} = \text{wavelength} \times \text{frequency} \][/tex]

In the given multiple-choice question, you should look for the options that correctly represent these equations in appropriate mathematical format.

The correct choice will be:
- O velocity = distance/time
- velocity = wavelength x frequency

Hence, the equations used to calculate the velocity of a wave are:
1. [tex]\(\text{velocity} = \frac{\text{distance}}{\text{time}}\)[/tex]
2. [tex]\(\text{velocity} = \text{wavelength} \times \text{frequency}\)[/tex]

These two equations comprehensively describe how to calculate the velocity of a wave either by using the distance and time, or the wavelength and frequency of the wave.