please answer each part h sigvil to nos aho of asiaal ttis t

please answer each part!

h sigvil to nos aho of asiaal ttis the SUM Of loo mensuements is lo, Assumia the noie a) s 10

Solution

The signal-to-noise ratio (S/N) after n scans is :

S/N = n^1/2I_S/I_N

where I_S and I_N are the intensities of the signal and noise, respectively.

From the equation above, it can be seen that, doubling the number of scans only increases S/N by a factor of 1.4 (2^1/2).

I_S/I_N ratio when 100 meaurements wer made is

I_S/I_N = n^1/2 /(S/N)

=(100)^1/2/10

=1

a) to obtain S/N ratio =50

n^1/2 =(I_S/I_N ) * (S/N)

=1*50

n= 2500

b) to obtain S/N ratio =100

n^1/2 =(I_S/I_N ) * (S/N)

=1*100

n= 10000

c) to obtain S/N ratio =1000

n^1/2 =(I_S/I_N ) * (S/N)

=1*1000

n= 1000000