GATE PH 2019 Paper 1 — page 18

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 18 of 22

Consider the Hamiltonian

, where

and

are parameters with appropriate dimensions, and

and

are the generalized coordinate and momentum, respectively. The corresponding Lagrangian

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For a given load resistance

, the power transfer efficiencies

of a dc voltage source and a dc current source with internal resistances

and

, respectively, are equal. The product

in units of

(rounded off to one decimal place) is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The ground state electronic configuration of the rare-earth ion (Nd

) is [Pd]

. Assuming LS coupling, the Landé

-factor of this ion is

. The effective magnetic moment in units of Bohr magneton

(rounded off to two decimal places) is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2019 · Paper 1