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The tube of a laser has a mirror at each end (Fig. 35.48). A standing electromag

ID: 2071689 • Letter: T

Question

The tube of a laser has a mirror at each end (Fig. 35.48). A standing electromagnetic wave fills the space between these mirrors. This wave must satisfy the boundary conditions that its electric field is zero at all times at the position of the mirrors.


(a) Show that the distance d between the mirrors and the wavelength?of the wave must be related by

d=((m+1)/2)?

m=0,1,2,...


(b) A He-Ne laser with d = 30.00 cm operates at?=633 nm. What is the value of m? How many minima and how many maxima does the standing wave have between the two mirrors?



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Explanation / Answer

so for a wave to start at zero and come back to zero it has to be some number of humps or half wavelengths

so d= (m+1)/2

b) 30E-2 = (m+1)633E-9/2

m=947866

this will have m+1 maximum and m minima

so 947867 max and 947866 min