List of top Questions asked in GATE PH

The spacing between two consecutive S-branch lines of the rotational Raman spectra of hydrogen gas is 243.2 cm\(^{-1}\). After excitation with a laser of wavelength 514.5 nm, the Stoke's line appeared at 17611.4 cm\(^{-1}\) for a particular energy level. The wavenumber (rounded off to the nearest integer), in cm\(^{-1}\), at which Stoke's line will appear for the next higher energy level is \(\underline{\hspace{2cm}}\).

A material is placed in a magnetic field intensity \(H\). As a result, bound current density \(J_b\) is induced and magnetization of the material is \(M\). The magnetic flux density is \(B\). Choose the correct option(s) valid at the surface of the material.

For a finite system of Fermions where the density of states increases with energy, the chemical potential

Among the term symbols \(4S_1\), \(2D_{7/2}\), \(3S_1\), and \(2D_{5/2}\), choose the option(s) possible in the LS coupling notation.

Assume that \(^{13}N (Z = 7)\) undergoes first forbidden \( \beta^+ \) decay from its ground state with spin-parity \( J_i^\pi \), to a final state \( J_f^\pi \). The possible values for \( J_i^\pi \) and \( J_f^\pi \), respectively are

In an experiment, it is seen that an electric-dipole (E1) transition can connect an initial nuclear state of spin-parity \( J_i^\pi = 2^+ \) to a final state \( J_f^\pi \). All possible values of \( J_f^\pi \) are

Choose the correct statement from the following.

\( \oplus \) and \( \odot \) are two operators on numbers \( p \) and \( q \) such that
\( p \odot q = p - q\) and \(p \oplus q = p \times q. \)
Then, \( (9 \odot (6 \oplus 7)) \odot (7 \oplus (6 \odot 5)) = ? \)

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled on each die is:

The mirror image of the above text about the x-axis is

Which of the following sentences are grammatically correct?
(i) Arun and Aparna are here.
(ii) Arun and Aparna is here.
(iii) Arun's families is here.
(iv) Arun's family is here.