28.08.2016 Views

Bukhovtsev-et-al-Problems-in-Elementary-Physics

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

424 ANSWERS AND SOLUTIONS<br />

der<strong>in</strong>g triangle AS t B, we can write<br />

Hence,<br />

I<br />

2+aa~aan<br />

l::r:2aa (n- 1)<br />

Fig. 554<br />

By us<strong>in</strong>g the solution of Problem 764, we f<strong>in</strong>d:<br />

'AD l (a+b)<br />

~h= 2aa(n_l)=O.15cm<br />

L<br />

771. N = Ah' where L i$ the width of the <strong>in</strong>terference pattern.<br />

It cen be seen from Fig.· 256 that L=.! t, where I is the distance b<strong>et</strong>ween<br />

a<br />

the virtu<strong>al</strong> images 8 1 and'S. of the source.<br />

Us<strong>in</strong>g the results ·of the previous problem, w~ g<strong>et</strong><br />

4aba 2 (n -1)2<br />

N= (a+b) A e!5<br />

772. A biprism made of a substance with a refraction <strong>in</strong>dex n 2 deflects<br />

rays by an angle<br />

CPt=( 90"- ~ ) (n,- nl)<br />

where nl is the refraction <strong>in</strong>dex of the medium from which the rays f<strong>al</strong>l. For<br />

a biprism <strong>in</strong> air<br />

If the biprisms are equiv<strong>al</strong>ent, CPt = cp"<br />

Hence,<br />

~=~ n,-n1+ IS0 0 nt-l<br />

n,-I I'lt- I<br />

For the v<strong>al</strong>ues given <strong>in</strong> the <strong>in</strong>iti<strong>al</strong> conditions, 6:!: 179°37'.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!