Physics Exam > Physics Questions > The wave function of a particle is given by &...
Start Learning for Free
The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < + ∞ where C and a are the some constants. The probability of finding the particle in the region 0 < x < ∞
Correct answer is '0.5'. Can you explain this answer?
Verified Answer
The wave function of a particle is given by ψ(x) = Ce-ax, -∞...
The probability of finding the particle in the region 
is
is 
Applying normalising condition i.e.,
The correct answer is: 0.5
This question is part of UPSC exam. View all Physics courses
Most Upvoted Answer
The wave function of a particle is given by ψ(x) = Ce-ax, -∞...
The wave function of a particle is typically denoted by the symbol Ψ (psi) and is a mathematical function that describes the probability distribution of finding the particle in different states. The wave function is often expressed in terms of position (x) and time (t), and is written as Ψ(x, t).
The wave function contains all the information about the particle's quantum state, including its energy, momentum, and other observable properties. It is a complex-valued function, meaning it has both a real and imaginary component.
The wave function obeys the Schrödinger equation, which is a partial differential equation that describes the time evolution of the wave function. The Schrödinger equation is given by:
iħ ∂Ψ/∂t = -ħ²/2m ∇²Ψ + VΨ
where i is the imaginary unit, ħ is the reduced Planck's constant, ∂Ψ/∂t represents the partial derivative of the wave function with respect to time, ∇² is the Laplacian operator representing the second derivative of the wave function with respect to position, m is the mass of the particle, V is the potential energy, and Ψ is the wave function.
The wave function contains all the information about the particle's quantum state, including its energy, momentum, and other observable properties. It is a complex-valued function, meaning it has both a real and imaginary component.
The wave function obeys the Schrödinger equation, which is a partial differential equation that describes the time evolution of the wave function. The Schrödinger equation is given by:
iħ ∂Ψ/∂t = -ħ²/2m ∇²Ψ + VΨ
where i is the imaginary unit, ħ is the reduced Planck's constant, ∂Ψ/∂t represents the partial derivative of the wave function with respect to time, ∇² is the Laplacian operator representing the second derivative of the wave function with respect to position, m is the mass of the particle, V is the potential energy, and Ψ is the wave function.
|
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer?
Question Description
The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer?.
The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer?.
Solutions for The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer?, a detailed solution for The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? has been provided alongside types of The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The wave function of a particle is given by ψ(x) = Ce-ax, -∞ < x < +∞ whereCandaare the some constants. The probability of finding the particle in the region0 < x <∞Correct answer is '0.5'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup