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GATE 2025 BT – Question 64

Recombinant DNA Technology and Other Tools in Biotechnology · Analytical tools: Microscopy and spectroscopy · 2 marks · Numerical answer

An NMR spectrometer operating at proton resonance frequency ($\nu$) of 1 GHz will have a magnetic field strength of _________ Tesla (T). The gyromagnetic ratio for proton, $\gamma = 2.675 \times 10^8$ T$^{-1}$ s$^{-1}$ (Round off to one decimal place)

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Correct answer: 23.38 to 23.62

Explanation

The resonance frequency is $\nu = \frac{\gamma B}{2\pi}$, so $B = \frac{2\pi\nu}{\gamma} = \frac{2\pi \times 10^9}{2.675 \times 10^8} = 23.5$ T.