Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

In a phasor diagram for any point on the viewing screen for the two slit experiment in Fig 35-10, the resultant wave phasor rotates $60.0 °$ in $2.50 \times 10^{- 16} s$ . What is the wavelength?

Thus, the wavelength of light is $450 n m$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: According to the question.

It is given that

$Δ ϕ = 60 ° = \frac{π}{3} rad$

The figure according to the question is:

The phasors rotate with constant angular velocity

$ω = \frac{Δϕ}{Δt} = \frac{π}{3 \times 2.5 \times 10^{- 16} s} = 4.19 \times 10^{15} rad/s$

Step 2: The wavelength of light in medium.

Since, light waves travelling in a medium (air) where the wave speed is approximately $c$ , then $k c = ω, where k = \frac{2 π}{λ}$ , which leads to

$λ = \frac{2 π c}{ω} = \frac{2 π \times 3 \times 10^{8} m / s}{4.19 \times 10^{15} r a d / s} = 4.498 \times 10^{- 7} m = 450 n m$

Hence, the wavelength of light is, $450 n m$ .

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Fundamentals Of Physics

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Short Answer

In a phasor diagram for any point on the viewing screen for the two slit experiment in Fig 35-10, the resultant wave phasor rotates $60.0 °$ in $2.50 \times 10^{- 16} s$ . What is the wavelength?

Step by Step Solution

Step 1: According to the question.

Step 2: The wavelength of light in medium.

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In a phasor diagram for any point on the viewing screen for the two slit experiment in Fig 35-10, the resultant wave phasor rotates60.0° in 2.50×10-16 s . What is the wavelength?

Step by Step Solution

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