From equation,
a*sin(angle) = n*wavelength
Now,
a = 1/1.67*10^5
a = 0.5988*10^-5 m
n =*2
So,
0.5988*10^-5*sin(k) = 2*500*10^-9
sin(k) = 0.167
k = 9.673 degrees
So, angle which second maxima makes with central maxima is 9.673 degrees.
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