Calculate the frequency of red light of wavelength

In summary, the formula for calculating the frequency of red light is frequency = speed of light / wavelength, where the speed of light is approximately 3.00 x 10^8 meters per second. To convert wavelength to frequency for red light, you can use the formula frequency = 3.00 x 10^8 meters per second / wavelength in meters. The frequency of red light with a wavelength of 700 nanometers is approximately 4.29 x 10^14 hertz. The frequency of red light can affect the human eye by determining the color perception and exposure to high frequencies of light can cause damage to the human eye. The frequency of red light cannot be changed, but the wavelength can be altered by passing it
  • #1
looi76
81
0

Homework Statement


The speed of light is [tex]3 \times 10^8 ms^{-1}[/tex]. Calculate the frequency of red light of wavelength [tex]6.5 \times 10^{-7} m[/tex].

Homework Equations


[tex]v = f\lambda[/tex]
[tex]f = \frac{v}{\lambda}[/tex]

The Attempt at a Solution



[tex]v = 3 \times 10^8 \ ms^{-1}[/tex]
[tex]\lambda = 6.5 \times 10^{-7} \ m[/tex]

[tex]f = \frac{3 \times 10^8 }{6.5 \times 10^{-7} }[/tex]

[tex]f = 4.6 \times 10^{14} Hz[/tex]
[tex]f = 450 THz[/tex]

Is my answer correct?
 
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  • #2
looi76 said:

[tex]f = 4.6 \times 10^{14} Hz[/tex]
[tex]f = 450 THz[/tex]

Is my answer correct?

Everything looked fine until [itex]4.6 \times 10^{14}[/itex] became [itex]450 \times 10^{12}[/itex].

Regards,

Bill
 
  • #3


Yes, your answer is correct. The frequency of red light with a wavelength of 6.5 x 10^-7 m is approximately 450 THz (terahertz). This falls within the range of visible light, which has frequencies between 400-790 THz.
 

1. What is the formula for calculating the frequency of red light?

The formula for calculating the frequency of red light is frequency = speed of light / wavelength, where the speed of light is approximately 3.00 x 10^8 meters per second.

2. How do you convert wavelength to frequency for red light?

To convert wavelength to frequency for red light, you can use the formula frequency = 3.00 x 10^8 meters per second / wavelength in meters.

3. What is the frequency of red light with a wavelength of 700 nanometers?

The frequency of red light with a wavelength of 700 nanometers is approximately 4.29 x 10^14 hertz.

4. How can the frequency of red light affect the human eye?

The frequency of red light can affect the human eye by determining the color perception. Different frequencies of light correspond to different colors, and red light has a lower frequency compared to blue light, which has a higher frequency. Additionally, exposure to high frequencies of light, such as ultraviolet light, can cause damage to the human eye.

5. Can the frequency of red light be changed?

The frequency of red light cannot be changed, as it is a fundamental characteristic of light. However, the wavelength of red light can be changed by passing it through a medium, such as a prism, which can refract the light and alter its wavelength. This gives the appearance of changing the color of the light, but the frequency remains constant.

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