Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the frequency of light waves with a wavelength of 3x10¹⁰m? (With solution please) THANK YOU!​

Sagot :

MrRoyal

Answer:

[tex]f = 0.01Hz[/tex]

Explanation:

Given

[tex]Wavelength = 3 * 10^{10}m[/tex]

Required

Determine the frequency of the light waves

Frequency is calculated using:

[tex]c = fL[/tex]

Where

c = speed of light

and

[tex]c = 2.998 * 10^8 m/s[/tex]

Make f the subject in:

[tex]c = fL[/tex]

[tex]f = \frac{c}{L}[/tex]

Substitute values for c and L

[tex]f = \frac{2.998 * 10^8}{3*10^{10}}[/tex]

Apply law of indices

[tex]f = \frac{2.998 * 10^{8-10}}{3}[/tex]

[tex]f = \frac{2.998}{3} * 10^{-2}[/tex]

[tex]f = 0.9993 * 10^{-2}[/tex]

Approximate

[tex]f = 1 * 10^{-2}[/tex]

[tex]f = 10^{-2}Hz[/tex]

or

[tex]f = 0.01Hz[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.