Gate_2020
2) To
Detect the 0.01 nT change in magnetic field using a Proton Precession
magnetometer, the sensitivity required In the frequency measurements
of the instrument is ________× 10-4
Hz. (Assume
Gyromagnetic ratio of proton as 2.67515 ×108
s-1
T-1.
(Thanks to Chandrasekhar, ANU)
Solution:
Given
that Magnetic field $(B_t)$ = 0.01 nT=0.01 ×10-9
T
Gyromagnetic
ratio (gamma)= 2.67515 ×108
s-1
T-1
Frequency
(F) = ?
We
know that
The relation between total field, gyromagnetic ratio and frequency is given below.
$B_{t}=
\frac{2\pi f}{\gamma_{p}}$
$0.01\times
10^{-9}= \frac{2\pi f}{2.67515\times10^{8}}$
$0.002675=
6.28\times f$
$f=
\frac{0.002675}{6.28}$
$f
= 4.25 \times 10^{-4} Hz$.
2013 DEC NET 110 question 2A QUESTION SET
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