Answer:
- This means that the integral of the square modulus over the space is dimensionless.
Explanation:
We know that the square modulus of the wavefunction integrated over a volume gives us the probability of finding the particle in that volume. So the result of the integral
must be dimensionless, as represents a probability.
As the differentials has units of length
for the integral to be dimensionless, the units of the square modulus of the wavefunction has to be:
taking the square root this gives us :
There is more thermal energy in the lake because there is more water which is more thermal energy
Answer:
C. The final kinetic energy is equal to the initial potential energy.
Explanation:
Based on the Principle of energy conservation:
Sum of the Initial Energy = Sum of the Final Energy
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy..........(1)
Since according to the question:
Initial Kinetic Energy = 0
Final Potential Energy = 0
The equation (1) above reduces to
Initial Potential Energy = Final Kinetic Energy
Answer:
The De Broglie wavelength decreases
Explanation:
The relationship between the De Broglie wavelength of a particle and its momentum is given by
where
is the De Broglie wavelength of the particle
h is the Planck constant
p is the momentum of the particle
As we see from the formula, there is an inverse relationship between the De Broglie's wavelength and the momentum. Therefore, we can conclude that:
- if the momentum of the electron increases,
- its De Broglie wavelength will decrease
and vice-versa.