Basic Questions on Quantum mechanics

The state of a system in quantum mechanics is defined by

• A wavefunction which is a function of time and postion
• position of the system
• state of quantum system can not be define
• None of the above

The probabity densty of the state is define by

• Ψ*(x) Ψ(x)
• Ψ*(x) Ψ(x)dx
• Ψ(x) Ψ(x)
• None of the above

The probability of the system between dx is

• Ψ*(x) Ψ(x)dx
• Ψ*(x) Ψ*(x)
• Ψ(x) Ψ(x)dx

The wavefunction of a system is represnted by

• Real value function
• A complex function

The schrodinger wave equation is represnted by

• iħ(δψ(x,t))/δt=H ̂ψ(x,t)
• H ̂ψ(x,t) = Eψ(x,t)
• iħ(δψ(x,t))/δt=E ψ(x,t)
• None of the above

What kind of wavefunction we choose or define in quantum

• Any function would work
• Eigenfunction of an operator

If the probability density of the system remains constant over time, then the average value of any observation

• Will remain unaffected by time.
• changees with time
• depend on the observation
• None of the above

When the operator -ħ^2δ^2/(δx^2 ) operates of the wavefunction e^(-ikx) the result is

• k^2ħ^2 e^(-ikx)
• e^(-ikx)
• k^2ħ^2
• None of the above

The wavelength λ associated with a particle of mass m moving with velocity v is given by

• λ=h/mv
• λ=h
• λ=1/mv
• λ=constant

If a quantum system is represented by a stationary state wavefunction then the variance in energy would be

• can not be calculated
• 1
• 0
• infinite