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Q.

The arrangement of the Lloyd’s mirror experiment is shown in the figure. ‘S’ is a point source of frequency 6x1014Hz . A and B represent the two ends of a mirror placed horizontally, and LOM represents the screen
 

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If the number of fringes on the screen is 8x, then x =

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a

7

b

6

c

4

d

5

answer is B.

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Detailed Solution

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Fringes will be observed in the region between P1 and P2 because the reflected rays lie only in this region.

BSBD=OP2OD OP2=39mm

BSBC=OP1OC OP1=19mm

Thus, P1P2=39-19=20mm

Wavelength, λ=cf=3×1086×1014=5×10-7m

Fringe width, β=λDd=5×10-7×5+5+190×10-21+1×10-3=5×10-4m

Number of fringes, n=P1P2β=20×10-35×10-4=40=8×5

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