Concept:In Youngโs double slit experiment, the
nth bright fringe has a path difference of
nฮป.
Explanation:Take point
O as the central maximum, where path difference is zero.
Q is the second bright fringe on the right, so its path difference is:
ฮxQโ=2ฮปP is the eleventh bright fringe on the other side measured from
Q.
So, moving 11 fringe positions from
Q toward the left gives:
ฮxPโ=2ฮปโ11ฮป=โ9ฮปThe negative sign shows that
P is on the opposite side of
O.
Hence the magnitude of the path difference at
P is
9ฮป.
From the figure,
S2โPโBP because the screen is far away.
Therefore, the path difference at
P is represented by
S1โB:
S1โB=9ฮปGiven:
ฮป=6000ย Aห=6000ร10โ10ย m=6ร10โ7ย mSubstitute the value:
S1โB=9ร6ร10โ7=5.4ร10โ6ย mAnswer:D.
5.4ร10โ6ย m