 #1
tanaygupta2000
 204
 14
 Homework Statement:

The two slits in a Young’s doubleslit experiment are of unequal width, one being four
time wider than the other. If i(max) and i(min) denote the intensities at a neighbouring
maximum and a minimum, then the ratio i(min)/i(max) is: (a)1/9 (b)1/4 (c)3/5 (d)0 ?
 Relevant Equations:

Intensity, i ∝ (amplitude)^2
Maximum i = i1 + i2
Minimum i = i1 iI2
Since slit2 = 4 × (slit1)
Hence amplitude, a2 = 4a1
which gives i2 = 16×i1
So i(max) = i2 + i1 = 16i1 + i1 = 17i1
& i(min) = i2  i1 = 16i1  i1 = 15i1
=> i(min) /i(max) = 15/17
but there's no such option.
Kindly help me to figure out where am I doing error.
Hence amplitude, a2 = 4a1
which gives i2 = 16×i1
So i(max) = i2 + i1 = 16i1 + i1 = 17i1
& i(min) = i2  i1 = 16i1  i1 = 15i1
=> i(min) /i(max) = 15/17
but there's no such option.
Kindly help me to figure out where am I doing error.