In he vacuum of space, the speed of light (c) is 3 X 105 km/s and 1 km = 1,000 = 10³ m.Using V = c = fA, what is the wavelength in meters of a light wave with a frequency of 1012Hz? First convert c to units of meters/second (m/c). Then substitute into the wave equation.

Answered: In he vacuum of space, the speed of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In he vacuum of space, the speed of light (c) is 3 X 105 km/s and 1 km = 1,000 = 10³ m.
Using V = c = fA, what is the wavelength in meters of a light wave with a frequency of 1012
Hz? First convert c to units of meters/second (m/c). Then substitute into the wave equation.

Expert Solution

Step 1

Introduction:

According to Einstein’s theory of the relativity, ultimate speed for matter is the speed of the light. Object cannot travel with speed greater than the speed of light. When light travel from one medium to another medium, depending on the refractive index of the medium light get slow down.

Given data:

Speed of the light is,

c=3×10⁵ km/s = 3×10⁸ m/s

Frequency of light wave is,

f=10¹² Hz

Formula used:

Speed of light can be written as,

$V = c = f λ$

Where,

c- Speed of light

f- Frequency of light wave

$λ$ - Wavelength of light wave

Step 2

Calculation:

Wavelength of light wave can be calculated using given equation as,

$V = c = f λ λ = \frac{c}{f} λ = \frac{(3 \times 10^{8} m / s)}{(10^{12} Hz)} λ = 3 \times 10^{- 4} m$

Wavelength of light is $3 \times 10^{- 4} m$

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