Answer:
we know our detector is limited to a maximum count rate of 2000 particles/s, and we would expect the count of 4252 particles/s as angle of 6 degree. That means we would have to modify our detector if we want to measure proper count number.
Step-by-step explanation:
To get the number of particle scattered per unit area, N(Ф) into the ring at the scattering angle Ф is
Ф = tet
N(tet) =

We can first calculate ratio of scattered particles at 50 and 6 degree angles using the equation

from there we can calculate number of scattered particles at 6 degree
we know our detector is limited to a maximum count rate of 2000 particles/s, and we would expect the count of 4252 particles/s as angle of 6 degree. That means we would have to modify our detector if we want to measure proper count number.