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in Chemistry by (110 points)
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Calculate the magnetic fields (Bo) that correspond to proton resonance frequencies of 60MHz and 30MHz in gauss and Tesla units

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As we know,

\(\mu=({\frac{γ}{2\pi}})Bo\)

where,

\(\mu\) = frequency

γ = g y ro magnetic ratio

Bo = magnetic field

as we know (γ/2π) for proton = 42.578 MHz.T-1

\(∴ \frac{for\,frequency\,60\,MH_z}{60\times10^6}\) = (42.578 x 106 s-1.T-1)x Bo

\(Bo=(\frac{60}{42.578})T=1.40917\) Tesla or Bo = 1.41 Tesla

or Bo = 14092.gauss (1 Tesla = 10000 gauss)

for frequency = 300 MHZ

300 x 106 s-1 = (42.578 x 106 s-1 T-1) x Bo

\(Bo = (\frac{300}{42.578})Tesla\)

Bo = 7.04589 Tesla

or Bo = 70459 gauss (∵ 1 Tesla = 10000 gauss)

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