Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 24, Problem 30P
To determine

The number of complete spectral orders.

Expert Solution & Answer
Check Mark

Answer to Problem 30P

One full order

Explanation of Solution

Given info:

Wavelength of the light, λ=700nm=700×109m

Angle, θ=90° (Because the angle increases with wavelength, to have a complete order, use the largest wavelength).

The maximum angle is θ=90° .

Number of grating per unit length, N=8300lines/cm

Formula used:

  sinθ=mλd

Where,

  m is an integer.

  λ is wavelength.

  d is distance between slits.

Calculation:

In constructive interference, the path difference is an integer multiple of the wavelength.

Rearrange the given formula: sinθ=mλd . So, dsinθ=mλ

Substitute the given values:

  [1(8300lines/cm)](102m/cm)sin90°=m(700×109m)

This gives, m=1.70

So, only one full order can be seen on each side of central white line.

Conclusion:

The required order: one full order

Chapter 24 Solutions

Physics: Principles with Applications

Ch. 24 - Prob. 11QCh. 24 - Prob. 12QCh. 24 - Prob. 13QCh. 24 - Prob. 14QCh. 24 - Prob. 15QCh. 24 - Prob. 16QCh. 24 - Prob. 17QCh. 24 - Prob. 18QCh. 24 - Prob. 19QCh. 24 - Prob. 20QCh. 24 - Prob. 21QCh. 24 - Prob. 22QCh. 24 - Prob. 23QCh. 24 - Prob. 24QCh. 24 - Prob. 25QCh. 24 - Prob. 26QCh. 24 - Prob. 27QCh. 24 - Prob. 28QCh. 24 - Prob. 29QCh. 24 - Prob. 30QCh. 24 - Prob. 31QCh. 24 - Prob. 32QCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Prob. 13PCh. 24 - Prob. 14PCh. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - Prob. 49PCh. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Prob. 52PCh. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62GPCh. 24 - Prob. 63GPCh. 24 - Prob. 64GPCh. 24 - Prob. 65GPCh. 24 - Prob. 66GPCh. 24 - Prob. 67GPCh. 24 - Prob. 68GPCh. 24 - Prob. 69GPCh. 24 - Prob. 70GPCh. 24 - Prob. 71GPCh. 24 - Prob. 72GPCh. 24 - Prob. 73GPCh. 24 - Prob. 74GPCh. 24 - Prob. 75GPCh. 24 - Prob. 76GPCh. 24 - Prob. 77GPCh. 24 - Prob. 78GPCh. 24 - Prob. 79GPCh. 24 - Prob. 80GPCh. 24 - Prob. 81GPCh. 24 - Prob. 82GPCh. 24 - Prob. 83GPCh. 24 - Prob. 84GPCh. 24 - Prob. 85GPCh. 24 - Prob. 86GPCh. 24 - Prob. 87GPCh. 24 - Prob. 88GP

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