Chapter 27, Problem 59A

Some laser pointers emit light waves with a wavelength of 533 nm.

a. What is the frequency of this light?

b. Find the color of this light.

To determine

To determine the frequency of laser light.

Answer to Problem 59A

The frequency of laser light (f)= 5.62×10¹⁴Hz.

Explanation of Solution

Given data:

Wavelength(λ )= 533 nm = 533×10-9.

Formula used:

  $f=\frac{c}{\lambda }$ Hz.

Calculation:

The frequency of the laser light is the number of waves that pass a single point in space during an interval of time. The frequency is measured by the number of cycles per second. Also known as Hz. The laser light with different colors that varies concerning their frequency ranges.

We know the speed of light c =3×10⁸m/s.

Substitute the values in the equation of frequency (f ).

  $=\frac{3\times {10}^{8}m/s}{533\times {10}^{-9}m}$ Hz

= 5.62×10¹⁴Hz.

Conclusion:

The frequency of laser light is 5.62×10¹⁴Hz.

To determine

To determine the color of the laser light at a frequency of wavelength of 533 nm.

Explanation of Solution

Introduction:

The sets of cones differ from each other in their sensitivity to photon energy. So, the color vision is possible.

The laser lights have a visible spectrum of violet, blue, green, yellow, orange, and red. The wavelength ranges from 400 nm to 750 nm of visible light is centrally located in the electromagnetic spectrum. The wavelengths range less than 400 nm is invisible and greater than 700nm also invisible. So, the wavelength of visible spectrum ranges 495 -570 nm is in the color of green. Therefore, the 533 nm laser is in green color.

Conclusion:

The wavelength of 533 nm laser is in green color.