Magnetic Resonance, X-ray and Mossbauer Spectroscopy - Atomic and Molecular Physics - Physics Previous Year Questions

A piece of paraffin is placed in a uniform magnetic field \( H_0 \). The sample contains hydrogen nuclei of mass \( m_p \) which interact only with external magnetic field. An additional oscillating magnetic field is applied to observe resonance absorption. If \( g_I \) is the g-factor of the hydrogen nucleus, the frequency, at which resonance absorption takes place, is given by

A beam of X-ray of intensity \(I_0\) is incident normally on a metal sheet of thickness 2 mm. The intensity of the transmitted beam is 0.025\(I_0\). The linear absorption coefficient of the metal sheet (in \(m^{-1}\)) is __________ (upto one decimal place)

Match the phrases in Group I and Group II and identify the correct option.

Group I	Group II
(P) Electron spin resonance (ESR)	(i) radio frequency
(Q) Nuclear magnetic resonance (NMR)	(ii) visible range frequency
(R) Transition between vibrational states of a molecule	(iii) microwave frequency
(S) Electronic transition	(iv) far-infrared range

(A) (P-i), (Q-ii), (R-iii), (S-iv)
(B) (P-ii), (Q-i), (R-iv), (S-iii)
(C) (P-iii), (Q-iv), (R-i), (S-ii)
(D) (P-iii), (Q-i), (R-iv), (S-ii)

Given the following table, which one of the following correctly matches the experiments from Group I to their inferences in Group II?

Atomic numbers of V, Cr, Fe and Zn are 23, 24, 26 and 30, respectively. Which one of the following materials does NOT show an electron spin resonance (ESR) spectra?

The curves P and Q schematically show the variation of X-ray intensity with wavelength at two different accelerating voltages for a given target material. In the figure \(\lambda_1 = 0.25 \, \text{\AA}\), \(\lambda_2 = 0.5 \, \text{\AA}\), \(\lambda_3 = 1.0 \, \text{\AA}\), and \(\lambda_4 = 2.25 \, \text{\AA}\). Take Planck's constant as \(6.6 \times 10^{-34} \, \text{Js}\), speed of light as \(3 \times 10^8 \, \text{ms}^{-1}\) and elementary charge as \(1.6 \times 10^{-19} \, \text{C}\).

Which of the following statement is/are true?