# Waves question (wavelength, period, etc)

In summary, the conversation discussed a transmitter that sends out 1.8x10^7 waves per minute and generates a standing wave pattern. The radio waves travel at the speed of light to a receiver 20.0km away. The questions asked were: a) the frequency in hertz b) the period c) the wavelength d) the time for one crest to travel from the transmitter to the receiver e) the number of nodes between the transmitter and receiver. To find the answers, the equations F=1/t, V=f x (wavelength), and V=d/t were used. The frequency was found to be 300,000 hertz, the wavelength was found by dividing the speed of

## Homework Statement

A transmitter sends out 1.8x10^7 waves per minute and generates a standing wave pattern. The radio waves travel at the speed of light to a receiver 20.0km away. Determine :
a) the frequency in herts
b) period
c)wave length
d) the time for one crest to travel from the transmitter to the receiver.
e) the number of nodes between the transmitter and the receiver.

## Homework Equations

F=1/t t=period, f=frequency
V=f x (wavelength)

## The Attempt at a Solution

i found b first by
60 seconds/ 1.8 x 10 ^7
=3.3 x 10^-6
a) 1/3.3 x 10^-6
=300,000 herts
im confused after this can someone help me please? thankyou

## Homework Equations

F=1/t t=period, f=frequency
V=f x (wavelength)
Try using that last equation to find wavelength.

so

3.00x10^8 m/s / 300,000 = wavelength?

Yes (if you include the units along with that 300,000 number).

what about the other questions any tips?im lost

d) How far apart are the transmitter and receiver? How long does it take to go that distance, traveling at the speed the radio waves are going?

e) This is related to how many wavelengths will fit between the transmitter and receiver. Also, you'll need to look up what a node is, and how that relates to the number of wavelengths.

## 1. What is the relationship between wavelength and frequency?

The wavelength of a wave is inversely proportional to its frequency. This means that as the wavelength increases, the frequency decreases and vice versa.

## 2. How do you calculate the period of a wave?

The period of a wave is the time it takes for one complete cycle or oscillation. It can be calculated by dividing the wavelength by the wave speed. The formula is T = λ/v, where T is the period, λ is the wavelength, and v is the wave speed.

## 3. What is the difference between amplitude and wavelength?

Amplitude is the measure of the maximum displacement of particles in a wave from their resting position. It is measured in units of distance, such as meters or centimeters. Wavelength, on the other hand, is the distance between two consecutive peaks or troughs of a wave and is also measured in units of distance.

## 4. How does the medium affect the speed of a wave?

The speed of a wave is dependent on the properties of the medium it travels through. In general, waves travel faster in denser mediums and slower in less dense mediums. For example, sound waves travel faster in solids than in gases.

## 5. Can a wave have a negative wavelength?

No, a wave cannot have a negative wavelength. Wavelength is a physical quantity that represents the distance between two points in a wave, and distance cannot be negative. However, a wave can have a negative amplitude, which indicates that the wave is inverted or upside down.

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