>
Exams
>
Physical Chemistry
>
Atomic Structure
>
the potential for a particle in a one dimensional
Question:
The potential for a particle in a one-dimensional box is given as:
$V(x)=0$ for $0≤x≤L,$ and $V(x) = ∞$ elsewhere.
The locations of the internal nodes of the eigenfunctions $\Psi _n(x), n≥2$, are
[Given: m is an integer such that 0<m<n]
IIT JAM CY - 2022
IIT JAM CY
Updated On:
Oct 1, 2024
$x=\frac{m+\frac1{2}}{n}L$
$x=\frac{m}{n} L$
$x=\frac{m}{n+1} L$
$x=\frac{m+1}{n+1} L$
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is (B): $x=\frac{m}{n} L$
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Atomic Structure
The extra stability of half-filled subshell is due to
(A) Symmetrical distribution of electrons
(B) Smaller coulombic repulsion energy
(C) The presence of electrons with the same spin in non-degenerate orbitals
(D) Larger exchange energy
(E) Relatively smaller shielding of electrons by one another
Identify the correct statements
JEE Main - 2025
Chemistry
Atomic Structure
View Solution
For electron in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are :
JEE Main - 2025
Chemistry
Atomic Structure
View Solution
Which one of the following about an electron occupying the 1 s orbital in a hydrogen atom is incorrect ? (Bohr's radius is represented by $\mathrm{a}_{0}$ )
JEE Main - 2025
Chemistry
Atomic Structure
View Solution
What is the maximum wavelength to excite a hydrogen atom?
KEAM - 2025
Physics
Atomic Structure
View Solution
In a hydrogen-like ion, the energy difference between the 2nd excitation energy state and ground is 108.8 eV. The atomic number of the ion is:
JEE Main - 2025
Physics
Atomic Structure
View Solution
View More Questions
Questions Asked in IIT JAM CY exam
Exhaustive hydrogenation of the following compound
under Pd/C generates a saturated hydrocarbon as the product.
The number of stereoisomers possible for this product is _______.
IIT JAM CY - 2024
Stereochemistry
View Solution
A pair of isosteric compounds is
IIT JAM CY - 2024
Molecular structure and Chemical bonding
View Solution
For a zero-order reaction P→Q, the concentration of P becomes half of its initial concentration in 30 minutes after starting the reaction.
The concentration of P becomes zero at ____ minutes. (rounded off to the nearest integer)
IIT JAM CY - 2024
Chemical Kinetics
View Solution
Mobility of ions Li
+
, Na
+
, K
+
, Ag
+
in water at 298 K follows the order
IIT JAM CY - 2024
Electrochemistry
View Solution
Among [Ti(H2O)
6
]
3+
,[NiCl
4
]
2−
,[CrO
4
]
2−
,and [Mn(H
2
O)
6
]
2+
, the complex that exhibits the largest molar absorptivity in the visible region of the electronic absorption spectrum is
IIT JAM CY - 2024
d block elements
View Solution
View More Questions