Two slits are separated by 2.00 ×10 – 5 m. They are illuminated by lightof wavel

Question

Two slits are separated by 2.00 ×10–5 m. They are illuminated by lightof wavelength 5.60 × 10-7 m. If the distance fromthe slits to the screen is 6.00 m, what is the separation betweenthe central bright fringe and the third dark fringe?

a. 0.070 m
b. 0.421 m
c. 0.168 m
d. 0.224 m
e. 0.084 m Two slits are separated by 2.00 ×10–5 m. They are illuminated by lightof wavelength 5.60 × 10-7 m. If the distance fromthe slits to the screen is 6.00 m, what is the separation betweenthe central bright fringe and the third dark fringe? 0.070 m 0.421 m 0.168 m 0.224 m 0.084 m

Explanation / Answer

Because it is the dark fringe, you must use the destructiveinterference equation d= distance between slits m= order of the fringe, in this case the third fringe so fordestructive its the number of the fringe minus one d*sin=(m+0.5)* = sin-1[ (2.5*5.6e-7)/2e-5]= 4.013987 degrees s= distance from central fringe to m fringe; in this case its thethird fringe so m=3 r=distance from slits to screen tan=s/r s=tan(4.013987)*6= 0.42103 meters the answer is b please rate!

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