Select Goal &
City
Select Goal
Search for Colleges, Exams, Courses and More..
Write a Review
Get Upto ₹500*
Explore
Explore More
Study Abroad
Get upto 50% discount on Visa Fees
Top Universities & Colleges
Abroad Exams
Top Courses
Exams
Read College Reviews
News
Admission Alerts 2024
Education Loan
Institute (Counselling, Coaching and More)
Ask a Question
College Predictor
Test Series
Practice Questions
Course Finder
Scholarship
All Courses
B.Tech
MBA
M.Tech
MBBS
B.Com
B.Sc
B.Sc (Nursing)
BA
BBA
BCA
Course Finder
No Data Found
>
Exams
>
Physical Chemistry
>
Postulates of quantum mechanics
>
1 and 2 are normalised eigenfunctions of a hermit
Question:
Φ
1
and Φ
2
are normalised eigenfunctions of a Hermitian operator.
|Ψ〉 = 3i |Φ
1
〉 + 2|Φ
2
〉 and |X〉 = -2i |Φ
1
〉 + 5 |Φ
2
〉
The value of 〈Ψ|X〉 + 〈X|Ψ〉 is _______.
(rounded off to the nearest integer)
GATE CY - 2024
GATE CY
Updated On:
Jul 12, 2024
Hide Solution
Verified By Collegedunia
Correct Answer:
8
Solution and Explanation
The correct answer is 8.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Postulates of quantum mechanics
The wave function of a particle in a cubic box (of side L) is given by
\(\psi(x,y,z)=\sqrt{32/L^3}\sin\frac{\pi x}{L}\cos\frac{\pi x}{L}\sin\frac{2\pi y}{L}\sin\frac{\pi z}{L.}\)
.
The ratio of the energy of the state corresponding to the above wave function to the ground state energy is ________.
(rounded off to the nearest integer)
GATE CY - 2024
Physical Chemistry
Postulates of quantum mechanics
View Solution
The value of
\(\frac{e^2}{2\piε_0a_0}\)
in atomic unit of energy is _______.
(e: charge of electron; a
0
: Bohr radius; ∈
0
: permittivity of vacuum)
(rounded off to the nearest integer)
GATE CY - 2024
Physical Chemistry
Postulates of quantum mechanics
View Solution
View All
Questions Asked in GATE CY exam
The order and the number of classes present in a group with the irreducible representations A
1
, A
2
, B
1
, B
2
, E
1
, and E
2
, are, respectively,
GATE CY - 2024
Mass spectrometry
View Solution
In the EPR spectrum of an aqueous solution of VOSO
4
at room temperature, the total number of hyperfine splitting signals is
GATE CY - 2024
Nuclear magnetic resonance: Principles
View Solution
In thermogravimetric analysis, 12.45 mg of CuSO
4
.5H
2
O was subjected to heating under N
2
atmosphere. At a particular temperature, there was a weight loss of 3.6 mg. The number of water molecule(s) lost per formula unit is _____.
(Given molar mass (in g mol
-1
) of H = 1.0, O = 16.0, S = 32.0, and Cu = 63.5)
(rounded off to the nearest integer)
GATE CY - 2024
Thermodynamic functions and their relationships
View Solution
The partial vapor pressure of 0.1 molal solution of B in liquid A is 60 kPa at 300 K. The partial vapor pressure (in kPa) of a solution containing B with mole fraction of 0.1 in liquid A at 300 K is ______.
(Assume the solute B obeys Henry's law. The molar mass of A is 80 g mol
-1
.)
(rounded off to three decimal places)
GATE CY - 2024
Ideal and Non-ideal solutions
View Solution
1
H NMR spectrum of a mixture containing CH
3
Br (x mol) and (CH
3
)
3
CBr (y mol) shows two singlets at 2.7 ppm and 1.8 ppm, with the relative ratio of 3:1 (integration value), respectively. The value of x/y is ______.
(rounded off to the nearest integer)
GATE CY - 2024
NMR and ESR spectroscopy
View Solution
View More Questions