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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?
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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
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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.
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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?
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